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27 results on '"Leonid A Saraev"'

1. Modeling of phase transformations and superelastic hardening of unstable materials

Author

Elena A Ilyina and Leonid A Saraev

Subjects
phases, macroscopic properties, elastic moduli, statistical homogeneity, structure, structural deformations, phase transition, ergodicity, effective relations, Mathematics, QA1-939
Abstract

The article presents models of superelastic hardening of materials with unstable phase structure at a constant temperature. The kinetic equation of the process of formation and growth of spherical nuclei of a new phase is formulated depending on the level of development of inelastic structural deformations, according to which the new phase first represents separate inclusions from embryos, developing it forms the structures of the matrix mixture in the form of interpenetrating skeletons, and finally the new phase is transformed in a matrix with separate inclusions from the material of the remains of the old phase. The influence of structural deformations on the features of phase transformations and nonlinear hardening of inhomogeneous unstable materials with different degree of connectivity of the constituent phases is studied. Various variants of the microstructure material formed in the conditions of the phase transition in the form of separate inclusions and in the form of interpenetrating components are considered. New macroscopic determining relationships for unstable microinhomogeneous materials are established and their effective elastic moduli are calculated. Macroscopic conditions of direct and inverse phase transitions are obtained, their effective limits and hardening coefficients are calculated. It is shown that the values of the macroscopic elasticity moduli of the obtained models lie inside the fork of the lower and upper Hashin-Shtrikman boundaries. Numerical analysis of the developed models has shown good agreement with known experimental data.

Published
2018
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2. Economic and mathematical models of transformation manufacturing enterprise, taking into account the dynamics of its innovative potential

Author

Vladimir I. Aksinin and Leonid A. Saraev

Subjects
General Medicine
Abstract

In the published article, economic and mathematical models of an enterprise are proposed, taking into account the influence of its innovative potential on the dynamics of growth in output and production factors. Models are a system of differential equations regarding the resources of the enterprise and the function of its innovative potential. Three options for the formation of the innovative potential of an enterprise from the product, process technological innovations of mixed technological innovations introduced into production are considered. In the first case, innovative potential is formed from product technological innovations that bring new or improved products to the market. In the second case, the innovative potential is formed on the basis of providing a new or significantly improved way of producing products. In the third case, the innovative potential is the result of a simultaneous combination of product and process technological innovations. Scenarios for the development of an enterprise are constructed that correspond to the absence of innovation potential, product innovation potential, process innovation potential, mixed innovation potential and the case of full implementation of innovation potential. A variant of scenarios for the development of an enterprise is presented, in which the innovative potential is introduced from the very beginning, and a variant of scenarios for the development of an enterprise, in which the innovative potential is introduced from a certain point in time.

Published
2023

3. On the theory of profit capitalization of a multifactorial manufacturing enterprise

Author

Elena A. Ilyina and Leonid A. Saraev

Subjects
General Medicine
Abstract

The published article proposes new economic and mathematical models of the dynamics of development of multifactorial enterprises, the restoration of production resources of which is ensured by the capitalization of profits. The features of these models are that to calculate the profit of enterprises, multiplicative production functions with variable resource elasticities, functions describing proportional, progressive and digressive volumes of production costs, and functions describing proportional, progressive and digressive volumes of depreciation deductions are used. To predict the volume of production costs and the volume of depreciation deductions, systems of differential equations are established. It is shown that the effectiveness of the dynamics of the development of enterprises depends on the choice of values of capitalization coefficients. An unsuccessful choice of these coefficients does not allow the company to ensure its maximum profit. A system of equations has been obtained for calculating effective capitalization ratios, using which the enterprise is guaranteed to enter the operating mode with maximum profit. Variants of enterprise development dynamics for proportional, progressive and digressive costs and proportional, progressive and digressive depreciation charges are considered. Various modes of operation of enterprises are shown, which include stable output by enterprises, temporary suspension of work of enterprises during its technical re-equipment, and temporary partial curtailment of production.

Published
2023

4. On the theory of interaction of related economic systems

Author

Elena A. Ilyina and Leonid A. Saraev

Subjects
General Medicine
Abstract

In the published article the process of interaction of several related economic systems, which, on the one hand, compete with each other for fixed assets, the necessary human capital and natural resources is examined. On the other hand, they complement and develop each other and form a single complex within which joint goods are produced, goods, services and financial resources are exchanged, etc. An economic-mathematical model of the dynamics of development and interaction of related economic systems is proposed, taking into account both their competition for resources and their cooperation in the production of joint benefits. This model is a system of non-linear differential equations, which are used to calculate indicators of the dynamics of development of related systems of the economy. The values of these indicators depend on the ratio of investment investments in the production of economic systems and their depreciation deductions for the restoration of resources and costs. The peculiarity of the presented model is that the production function of each economic system containing as arguments not only its own production factors, but also the resources of all other considered related economic entities. It is shown that by controlling the choice of the rates of accumulation of internal investments of economic systems, it is possible to obtain various options for their interaction. With a certain choice of accumulation rates, economic systems can operate independently of each other. Under other norms, some systems of the economy become independent and backbone, while the rest of the systems are subsidized.

Published
2022

5. Optimal profit and transaction costs for a production function with variable elasticity of output with resources

Author

Elena A. Ilyina and Leonid A. Saraev

Subjects
General Medicine
Abstract

The published article examines the influence of non-production (transactional) costs of a multifactorial manufacturing enterprise on the formation of its profit. An economic-mathematical model for calculating the profit of an enterprise is proposed, the production function of which takes into account changes in the values of elasticity for each resource, and production (transformation) and non-production (transactional) costs are also described by an exponential function. The features of the formation of profit volumes in the short-term and long-term periods of the enterprise's work are studied. A variant of the calculation model of the maximum possible profit, ignoring the role of transaction costs, and a variant of the calculation model of optimal profit, taking into account the influence of transaction costs, are obtained. The source of transaction costs is the costs of market transactions, for the implementation of which it is necessary to find a subject interested in concluding a transaction, conduct preliminary negotiations with him, prepare a contract and conditions for its implementation, etc. The resources and costs required for all this are the essence of the transaction costs of concluding a deal. It is shown that when calculating the volume of emerging profit, it is necessary to maximize not only the profit function itself, but also the transaction utility function. Numerical analysis of the results of calculations shows the unattainability of the maximum possible values of profit, since in practice the management of the enterprise maximizes not the profit itself, but its utility, expressed as the corresponding transactional function.

Published
2022

6. On the calculation of the effective capitalization ratio for a one-factor manufacturing enterprise

Author

Elena A. Ilyina and Leonid A. Saraev

Subjects
General Medicine
Abstract

The published article proposes a new economic-mathematical model of the development dynamics of a one-factor enterprise, the restoration of the production resource of which is ensured by capitalization of profits. The features of this model are that to calculate the profit of the enterprise, a production function with variable resource elasticity and an exponential function of production costs are used. To calculate the amortization of a production resource, a differential equation is formulated, the solutions of which can describe the cases of proportional, progressive and digressive amortization. It is shown that the efficiency of the enterprise development dynamics depends on the choice of the value of the capitalization coefficient. An unsuccessful choice of this coefficient does not allow the company to ensure its maximum profit. An equation has been obtained for calculating the effective capitalization ratio, using which the enterprise is guaranteed to enter the operating mode with maximum profit. Variants of enterprise development dynamics for proportional, progressive and digressive amortization charges are considered. Various modes of operation of enterprises are shown, which include stable output by enterprises, temporary suspension of enterprises for the period of its technical re-equipment, and temporary partial curtailment of production.

Published
2022

7. On the theory of optimization of transaction costs of multifactor manufacturing enterprises

Author

Elena A. Ilyina and Leonid A. Saraev

Subjects
General Medicine
Abstract

The published article proposes mathematical models for calculating the optimal profit of multifactorial manufacturing enterprises that incur both production (transformational) and certain non-production (transactional) costs, the sources of which may be forced costs of searching for economic information, measuring the parameters of various goods, negotiating and the conclusion of contracts, for the development of specifications and the protection of property rights, for the opportunistic behavior of employees and managers of the enterprise, etc. Anumerical analysis of the presented models for calculating the optimal profit of multifactor enterprises that bear transaction costs shows the unattainability of the maximum possible profit values, since in practice the enterprise management maximizes not the profit itself, but its utility, expressed in the form of the corresponding transaction function.

Published
2021

8. Equations of nonlinear dynamics of development of industrial enterprises, taking into account the amount of its maximum profit

Author

Leonid A. Saraev and Alexander L. Saraev

Subjects
Microeconomics, Nonlinear system, Profit (accounting), Depreciation, Economics, Production (economics), Factors of production, General Medicine
Abstract

In the published article, new modifications of economic and mathematical models of the dynamic development of enterprises are proposed, the production of which is being restored due to the introduction of their own investments. The developed models are presented in the form of systems of differential equations for an arbitrary number of production factors. Stationary solutions of these systems of equations correspond to the equilibrium states of the operation of enterprises and represent the limiting values of the factors of production. Two versions of systems of differential balance equations for enterprises, describing the growth of factors of production and output, have been established. In the first case, the growth of resources and output is limited by the limiting values of the factors of production. In the second case, the growth of resources and output is limited by the pre-calculated values of the factors of production that correspond to the value of the maximum profit of the enterprise. It is shown that the growth of production factors of the enterprise should not exceed the values corresponding to the value of the maximum profit. Otherwise, the company starts to operate at a loss. In the presented models, proportional, progressive and digressive depreciation deductions are considered. Theconstructed models make it possible to describe various modes of operation of enterprises. Such regimes include a stable output of products by enterprises, a temporary suspension of the work of enterprises during its technical re-equipment, and a temporary partial curtailment of production.

Published
2021

9. Mathematical model of transition of a production enterprise to a circular economy

Author

Marina E. Тalikina and Leonid A. Saraev

Subjects
020209 energy, Circular economy, Transition (fiction), 0202 electrical engineering, electronic engineering, information engineering, Economics, Production (economics), 02 engineering and technology, General Medicine, 010501 environmental sciences, Economic system, 01 natural sciences, 0105 earth and related environmental sciences
Abstract

In the published article, a mathematical model of an enterprise is proposed, the production activity of which is described by two production functions. The main production function converts resources into the products of an enterprise, the additional production function turns resources into its waste, which are usually included in costs. Enterprises of a waste-free circular economy organize their own production so that the waste of an enterprise becomes new production factors and is completely converted into additional useful products. The process of transition in time of an enterprise of an ordinary economy to an enterprise of a waste-free circular economy is described using a special dimensionless transformation function, which varies from zero to one. Two variants of the peculiarities of changes in the economic indicators of an enterprise that arise during the transition to waste-free production are considered. In the first case, a one-factor manufacturing enterprise was investigated, which in its production activity uses only one resource, which integrates the volumes of factors of production consisting of fixed capital, production assets involved in the production of labor resources, used in the production of materials, applied technologies, of various kinds innovation. In the second case, a two-factor manufacturing enterprise has been investigated, which in its production activity uses two resources, the first of which is fixed capital and production assets, the second production factor includes labor resources involved in production. Regularities have been established for changes in the time of production, waste, profits and costs of an enterprise when introducing waste-free technologies for the case of one-factor production. Anumerical analysis of the obtained economic and mathematical model shows that the maximum value of the enterprise's profit changes over time and corresponds to the level of the introduced circular technologies.

Published
2021

10. Модели стохастической динамики развития производственных предприятий с запаздывающими внутренними и внешними инвестициями

Author

Aleksandr Leonidovich Saraev and Leonid Alexandrovich Saraev

Subjects
Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis
Abstract

Предложены новые стохастические модели динамического развития предприятий, которые восстанавливают свои производства за счет внутренних и внешних запаздывающих инвестиций. Установлены системы стохастических дифференциальных уравнений баланса для таких предприятий, описывающие случайные изменения факторов производства и выпуска продукции. Рассмотрены пропорциональные, прогрессивные и дигрессивные амортизационные отчисления и исследовано их взаимодействие с запаздывающими внутренними и внешними инвестициями. Сформулированы условия достижения равновесного состояния работы предприятий и вычислены соответствующие предельные значения факторов производства. Для численных решений систем стохастических дифференциальных уравнений развития предприятий получены алгоритмы метода Эйлера—Маруямы. Для каждой численной реализации этих алгоритмов построены соответствующие стохастические траектории для случайных функций факторов производства и выпуска продукции. Предложен вариант метода расчета математических ожиданий случайных функций факторов производства, для которых получена соответствующая система дифференциальных уравнений. Численный анализ решений стохастических дифференциальных уравнений для разработанных моделей показал хорошее соответствие известным статистическим данным развития производственных предприятий.

Published
2021

11. Математическая модель построения доверительных оценок скрытых источников инвестиционного дохода

Author

Viktor Nikolaevich Nikishchov, Elena Vladimirovna Mikhailova, and Leonid Alexandrovich Saraev

Subjects
Actuarial science, Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Economics, Confidentiality, Condensed Matter Physics, Mathematical Physics, Software, Analysis, Investment income
Published
2009

12. О законе повторного логарифма для классических распределений, порождаемых дробными долями показательной функции с целым основанием

Author

Alexey Vladimirovich Budkin, Lev Pavlovich Usol'tsev, Aleksandr Anatolevich Andreev, A K Kubanova, Anatoliy Petrovich Philatov, Фанис Xайдарович Алтынбаев, T V Yankovskaya, Valeriy Gavrilovich Ovchinnikov, Irina Sergeevna Makarova, Artem Anatolievich Zausaev, Anatolii Fedorovich Zausaev, Boris Ivanovich Bertyaev, Gleb Dmitrievich Gureev, Vladimir Eugenievich Zoteev, Yu V Trubnikov, Sergey Pavlovich Pomytkin, Eugeniy Nikolaevitch Ogorodnikov, M A Brazhnikov, Ivan Eugen'evich Koz'ma, Elena Anatolievna Prosvirkina, Alexandr Fedorovich Fedotov, Alexander Ivanovich Nikonov, S V Yarmushkin, Pavel Ivanovich Krasnoshchekov, Sergey L'vovich Stepanov, Marina Vitalievna Klimova, Ekaterina Vasil'evna Stefanyuk, Alexandr Sergeevich Trunin, Vyacheslav Sergeevich Glushchenkov, E A Il'ina, Georgiy Vasil'evich Pavlov, B A Gorlach, Alexey Vladimirovich Efremov, Артeм Анатольевич Заусаев, Vladimir Sergeevich Borodin, V V Yurgelas, Leonid Alexandrovich Saraev, Alexey Georgievich Mikheev, Dmitrii Mikhailovich Gureev, Vladimir Pavlovich Radchenko, Mikhail Vyacheslavovich Dolgopolov, Александр Фeдорович Федотов, Yuliya Nikolaevna Surgutanova, V I Mironov, I A Smirnov, Natal'ya Alexandrovna Arkhipova, Mikhail Nikolaevich Saushkin, Валентин Фeдорович Павлов, Yurii Eduardovich Senitskii, V K Tartashkin, G Yu Ermolenko, Valentin Fedorovich Pavlov, Ludmila Alexandrovna Mitlina, Fanis Khaydarovich Altynbaev, Sergey Valentinovich Zhuiko, Andrey Gennadievich Ol'khin, Valerii Vladimirovich Struzhanov, Alexandr Sergeevich Eremin, Dimitrii L'vovich Golovashkin, Sergey Alexandrovich Bordakov, Olga Eugen'evna Morgunova, Margarita Rudol'fovna Vinogradova, Александр Сергеевич Ерeмин, Oksana Valerievna Karanaeva, Liliya Ramil'evna Gaisina, Elena Yur'evna Moshchenskaya, Anton Valentinovich Efimov, L S Pasynok, Yuriy Valentinovich Malyshev, and Yuliy Isaakovich Kadashevich

Subjects
Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis, Mathematics
Published
2004

13. Теплопроводность в пластине при переменных во времени граничных условиях третьего рода. Температура среды - экспоненциальная функция времени

Author

Yurii Eduardovich Senitskii, Artem Anatolievich Zausaev, M A Brazhnikov, Boris Ivanovich Bertyaev, Alexey Vladimirovich Budkin, B A Gorlach, Артeм Анатольевич Заусаев, Lev Pavlovich Usol'tsev, L S Pasynok, Valentin Fedorovich Pavlov, T V Yankovskaya, Elena Anatolievna Prosvirkina, Aleksandr Anatolevich Andreev, Alexey Vladimirovich Efremov, Alexandr Sergeevich Trunin, E A Il'ina, S V Yarmushkin, Pavel Ivanovich Krasnoshchekov, Yu V Trubnikov, Sergey L'vovich Stepanov, V V Yurgelas, Vyacheslav Sergeevich Glushchenkov, Ekaterina Vasil'evna Stefanyuk, Valeriy Gavrilovich Ovchinnikov, Irina Sergeevna Makarova, Sergey Alexandrovich Bordakov, Alexey Georgievich Mikheev, Olga Eugen'evna Morgunova, Marina Vitalievna Klimova, I A Smirnov, Liliya Ramil'evna Gaisina, Georgiy Vasil'evich Pavlov, Dmitrii Mikhailovich Gureev, Ivan Eugen'evich Koz'ma, Alexandr Fedorovich Fedotov, Leonid Alexandrovich Saraev, Anton Valentinovich Efimov, Yuliya Nikolaevna Surgutanova, Alexander Ivanovich Nikonov, A K Kubanova, Vladimir Eugenievich Zoteev, Vladimir Sergeevich Borodin, Gleb Dmitrievich Gureev, V K Tartashkin, Anatoliy Petrovich Philatov, Sergey Pavlovich Pomytkin, Eugeniy Nikolaevitch Ogorodnikov, Фанис Xайдарович Алтынбаев, Vladimir Pavlovich Radchenko, Mikhail Vyacheslavovich Dolgopolov, Anatolii Fedorovich Zausaev, Yuriy Valentinovich Malyshev, Yuliy Isaakovich Kadashevich, V I Mironov, Andrey Gennadievich Ol'khin, Валентин Фeдорович Павлов, Oksana Valerievna Karanaeva, Mikhail Nikolaevich Saushkin, Elena Yur'evna Moshchenskaya, Dimitrii L'vovich Golovashkin, G Yu Ermolenko, Ludmila Alexandrovna Mitlina, Margarita Rudol'fovna Vinogradova, Александр Сергеевич Ерeмин, Fanis Khaydarovich Altynbaev, Sergey Valentinovich Zhuiko, Valerii Vladimirovich Struzhanov, Alexandr Sergeevich Eremin, Александр Фeдорович Федотов, and Natal'ya Alexandrovna Arkhipova

Subjects
Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis
Published
2004

14. Корректность задачи Коши - Гурса для системы вырождающихся нагруженных гиперболических уравнений в некоторых специальных случаях и ее равносильность задачам с нелокальными краевыми условиями

Author

Elena Anatolievna Prosvirkina, Valerii Vladimirovich Struzhanov, Margarita Rudol'fovna Vinogradova, Mikhail Nikolaevich Saushkin, Pavel Ivanovich Krasnoshchekov, Vyacheslav Sergeevich Glushchenkov, Ekaterina Vasil'evna Stefanyuk, Alexandr Sergeevich Eremin, S V Yarmushkin, Vladimir Eugenievich Zoteev, Александр Сергеевич Ерeмин, Vladimir Sergeevich Borodin, Sergey Pavlovich Pomytkin, Eugeniy Nikolaevitch Ogorodnikov, V V Yurgelas, Sergey L'vovich Stepanov, A K Kubanova, Yu V Trubnikov, Dimitrii L'vovich Golovashkin, Yurii Eduardovich Senitskii, Alexey Georgievich Mikheev, Ivan Eugen'evich Koz'ma, Alexey Vladimirovich Budkin, Fanis Khaydarovich Altynbaev, Alexandr Fedorovich Fedotov, Yuriy Valentinovich Malyshev, Alexey Vladimirovich Efremov, Alexander Ivanovich Nikonov, Oksana Valerievna Karanaeva, Artem Anatolievich Zausaev, Sergey Valentinovich Zhuiko, Александр Фeдорович Федотов, B A Gorlach, Alexandr Sergeevich Trunin, E A Il'ina, Elena Yur'evna Moshchenskaya, Anatoliy Petrovich Philatov, Irina Sergeevna Makarova, Lev Pavlovich Usol'tsev, Ludmila Alexandrovna Mitlina, V K Tartashkin, Dmitrii Mikhailovich Gureev, Валентин Фeдорович Павлов, Natal'ya Alexandrovna Arkhipova, T V Yankovskaya, Valentin Fedorovich Pavlov, Фанис Xайдарович Алтынбаев, Valeriy Gavrilovich Ovchinnikov, Andrey Gennadievich Ol'khin, Anatolii Fedorovich Zausaev, L S Pasynok, Aleksandr Anatolevich Andreev, Vladimir Pavlovich Radchenko, Mikhail Vyacheslavovich Dolgopolov, I A Smirnov, Yuliya Nikolaevna Surgutanova, M A Brazhnikov, Yuliy Isaakovich Kadashevich, Gleb Dmitrievich Gureev, V I Mironov, Boris Ivanovich Bertyaev, Marina Vitalievna Klimova, Georgiy Vasil'evich Pavlov, Sergey Alexandrovich Bordakov, Olga Eugen'evna Morgunova, Liliya Ramil'evna Gaisina, Anton Valentinovich Efimov, Leonid Alexandrovich Saraev, Артeм Анатольевич Заусаев, and G Yu Ermolenko

Subjects
Correctness, Applied Mathematics, Mathematical analysis, Degenerate energy levels, Nonlocal boundary, Cauchy distribution, Condensed Matter Physics, Mechanics of Materials, Modeling and Simulation, Hyperbolic partial differential equation, Mathematical Physics, Software, Analysis, Mathematics
Published
2004

15. Доказательство свойства усиленной замены для подмножеств координатной решетки, обладающих свойством замены Штейница

Author

Ekaterina Vasil'evna Stefanyuk, L S Pasynok, Valentin Fedorovich Pavlov, V V Yurgelas, Dmitrii Mikhailovich Gureev, Valerii Vladimirovich Struzhanov, V K Tartashkin, Artem Anatolievich Zausaev, A K Kubanova, Alexandr Sergeevich Eremin, Alexey Georgievich Mikheev, Marina Vitalievna Klimova, Alexey Vladimirovich Budkin, Yu V Trubnikov, Georgiy Vasil'evich Pavlov, Vladimir Pavlovich Radchenko, Mikhail Vyacheslavovich Dolgopolov, Dimitrii L'vovich Golovashkin, T V Yankovskaya, Alexey Vladimirovich Efremov, Yurii Eduardovich Senitskii, Aleksandr Anatolevich Andreev, Валентин Фeдорович Павлов, Артeм Анатольевич Заусаев, Andrey Gennadievich Ol'khin, Yuliya Nikolaevna Surgutanova, G Yu Ermolenko, Anatoliy Petrovich Philatov, Фанис Xайдарович Алтынбаев, Ludmila Alexandrovna Mitlina, M A Brazhnikov, V I Mironov, S V Yarmushkin, Vladimir Sergeevich Borodin, Pavel Ivanovich Krasnoshchekov, Boris Ivanovich Bertyaev, Sergey Alexandrovich Bordakov, Gleb Dmitrievich Gureev, Vyacheslav Sergeevich Glushchenkov, Natal'ya Alexandrovna Arkhipova, Olga Eugen'evna Morgunova, Liliya Ramil'evna Gaisina, Valeriy Gavrilovich Ovchinnikov, Anton Valentinovich Efimov, Margarita Rudol'fovna Vinogradova, Sergey L'vovich Stepanov, Fanis Khaydarovich Altynbaev, Sergey Valentinovich Zhuiko, Александр Сергеевич Ерeмин, I A Smirnov, Александр Фeдорович Федотов, Oksana Valerievna Karanaeva, Lev Pavlovich Usol'tsev, Elena Yur'evna Moshchenskaya, B A Gorlach, Mikhail Nikolaevich Saushkin, Ivan Eugen'evich Koz'ma, Alexandr Fedorovich Fedotov, Alexander Ivanovich Nikonov, Alexandr Sergeevich Trunin, E A Il'ina, Irina Sergeevna Makarova, Leonid Alexandrovich Saraev, Anatolii Fedorovich Zausaev, Vladimir Eugenievich Zoteev, Sergey Pavlovich Pomytkin, Eugeniy Nikolaevitch Ogorodnikov, Yuriy Valentinovich Malyshev, Yuliy Isaakovich Kadashevich, and Elena Anatolievna Prosvirkina

Subjects
Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis
Published
2004

16. Численное интегрирование уравнений движения больших планет (Меркурий - Плутон) и Луны с учетом радиолокационных наблюдений

Author

Alexey Vladimirovich Budkin, T V Yankovskaya, Valentin Fedorovich Pavlov, Fanis Khaydarovich Altynbaev, Yu V Trubnikov, Valerii Vladimirovich Struzhanov, V K Tartashkin, Anatoliy Petrovich Philatov, Фанис Xайдарович Алтынбаев, Alexandr Sergeevich Eremin, Anatolii Fedorovich Zausaev, Sergey Valentinovich Zhuiko, Dimitrii L'vovich Golovashkin, Alexey Vladimirovich Efremov, Dmitrii Mikhailovich Gureev, Aleksandr Anatolevich Andreev, V V Yurgelas, G Yu Ermolenko, Vladimir Eugenievich Zoteev, Marina Vitalievna Klimova, Александр Фeдорович Федотов, Sergey Pavlovich Pomytkin, Eugeniy Nikolaevitch Ogorodnikov, Yurii Eduardovich Senitskii, Alexey Georgievich Mikheev, Ludmila Alexandrovna Mitlina, Georgiy Vasil'evich Pavlov, Alexandr Sergeevich Trunin, E A Il'ina, Valeriy Gavrilovich Ovchinnikov, B A Gorlach, A K Kubanova, Vladimir Pavlovich Radchenko, Mikhail Vyacheslavovich Dolgopolov, Natal'ya Alexandrovna Arkhipova, Валентин Фeдорович Павлов, Artem Anatolievich Zausaev, Irina Sergeevna Makarova, Boris Ivanovich Bertyaev, M A Brazhnikov, Yuliya Nikolaevna Surgutanova, Vladimir Sergeevich Borodin, Sergey Alexandrovich Bordakov, Olga Eugen'evna Morgunova, Ivan Eugen'evich Koz'ma, Alexandr Fedorovich Fedotov, Alexander Ivanovich Nikonov, Liliya Ramil'evna Gaisina, Elena Anatolievna Prosvirkina, Mikhail Nikolaevich Saushkin, V I Mironov, Anton Valentinovich Efimov, L S Pasynok, Ekaterina Vasil'evna Stefanyuk, Pavel Ivanovich Krasnoshchekov, S V Yarmushkin, Vyacheslav Sergeevich Glushchenkov, I A Smirnov, Yuriy Valentinovich Malyshev, Leonid Alexandrovich Saraev, Артeм Анатольевич Заусаев, Margarita Rudol'fovna Vinogradova, Gleb Dmitrievich Gureev, Yuliy Isaakovich Kadashevich, Александр Сергеевич Ерeмин, Oksana Valerievna Karanaeva, Lev Pavlovich Usol'tsev, Sergey L'vovich Stepanov, Elena Yur'evna Moshchenskaya, and Andrey Gennadievich Ol'khin

Subjects
Physics, Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis
Published
2004

17. О механизме $\alpha\to\gamma$ - превращения в Fe и углеродистой стали

Author

Boris Ivanovich Bertyaev, Alexey Vladimirovich Budkin, L S Pasynok, Anatoliy Petrovich Philatov, Фанис Xайдарович Алтынбаев, B A Gorlach, S V Yarmushkin, T V Yankovskaya, Dmitrii Mikhailovich Gureev, Yuliya Nikolaevna Surgutanova, Mikhail Nikolaevich Saushkin, Valentin Fedorovich Pavlov, Sergey Alexandrovich Bordakov, Olga Eugen'evna Morgunova, Liliya Ramil'evna Gaisina, Anton Valentinovich Efimov, Aleksandr Anatolevich Andreev, Margarita Rudol'fovna Vinogradova, Yuriy Valentinovich Malyshev, Fanis Khaydarovich Altynbaev, Gleb Dmitrievich Gureev, Natal'ya Alexandrovna Arkhipova, V I Mironov, Vladimir Pavlovich Radchenko, Mikhail Vyacheslavovich Dolgopolov, Александр Сергеевич Ерeмин, Marina Vitalievna Klimova, Валентин Фeдорович Павлов, Sergey Valentinovich Zhuiko, Georgiy Vasil'evich Pavlov, Dimitrii L'vovich Golovashkin, Sergey L'vovich Stepanov, Yu V Trubnikov, Oksana Valerievna Karanaeva, Anatolii Fedorovich Zausaev, Elena Yur'evna Moshchenskaya, G Yu Ermolenko, Yuliy Isaakovich Kadashevich, Vladimir Eugenievich Zoteev, Pavel Ivanovich Krasnoshchekov, Sergey Pavlovich Pomytkin, Eugeniy Nikolaevitch Ogorodnikov, Lev Pavlovich Usol'tsev, Vyacheslav Sergeevich Glushchenkov, Andrey Gennadievich Ol'khin, I A Smirnov, Leonid Alexandrovich Saraev, Valerii Vladimirovich Struzhanov, Александр Фeдорович Федотов, Yurii Eduardovich Senitskii, Irina Sergeevna Makarova, Alexandr Sergeevich Eremin, V K Tartashkin, Ludmila Alexandrovna Mitlina, Артeм Анатольевич Заусаев, A K Kubanova, Elena Anatolievna Prosvirkina, Ekaterina Vasil'evna Stefanyuk, Alexey Vladimirovich Efremov, Artem Anatolievich Zausaev, M A Brazhnikov, Vladimir Sergeevich Borodin, Valeriy Gavrilovich Ovchinnikov, V V Yurgelas, Alexey Georgievich Mikheev, Ivan Eugen'evich Koz'ma, Alexandr Fedorovich Fedotov, Alexander Ivanovich Nikonov, Alexandr Sergeevich Trunin, and E A Il'ina

Subjects
Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis
Published
2004

18. Вычисление макроскопических характеристик упругопластического деформирования многокомпонентных композиционных материалов, хаотически армированных эллипсоидальными включениями и ослабленных невзаимодействующими трещинами

Author

Vyacheslav Sergeevich Glushchenkov, Leonid Alexandrovich Saraev, and Natal'ya Alexandrovna Arkhipova

Subjects
Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis
Published
2004

19. Исследование параллельных алгоритмов решения трехдиагональных систем линейных алгебраических уравнений

Author

Valentin Fedorovich Pavlov, Ludmila Alexandrovna Mitlina, Lev Pavlovich Usol'tsev, Artem Anatolievich Zausaev, Margarita Rudol'fovna Vinogradova, Sergey L'vovich Stepanov, Anatoliy Petrovich Philatov, Фанис Xайдарович Алтынбаев, Валентин Фeдорович Павлов, Александр Сергеевич Ерeмин, Aleksandr Anatolevich Andreev, Ivan Eugen'evich Koz'ma, Irina Sergeevna Makarova, Yu V Trubnikov, Alexey Vladimirovich Budkin, Gleb Dmitrievich Gureev, Alexandr Fedorovich Fedotov, Fanis Khaydarovich Altynbaev, Yuliya Nikolaevna Surgutanova, Sergey Alexandrovich Bordakov, Olga Eugen'evna Morgunova, Dimitrii L'vovich Golovashkin, Alexander Ivanovich Nikonov, Natal'ya Alexandrovna Arkhipova, Sergey Valentinovich Zhuiko, Andrey Gennadievich Ol'khin, M A Brazhnikov, A K Kubanova, V V Yurgelas, T V Yankovskaya, Liliya Ramil'evna Gaisina, I A Smirnov, V I Mironov, G Yu Ermolenko, Alexey Georgievich Mikheev, Alexandr Sergeevich Trunin, Valerii Vladimirovich Struzhanov, V K Tartashkin, Pavel Ivanovich Krasnoshchekov, Yurii Eduardovich Senitskii, Dmitrii Mikhailovich Gureev, E A Il'ina, Marina Vitalievna Klimova, Anatolii Fedorovich Zausaev, Anton Valentinovich Efimov, Alexandr Sergeevich Eremin, Vyacheslav Sergeevich Glushchenkov, Georgiy Vasil'evich Pavlov, Elena Anatolievna Prosvirkina, S V Yarmushkin, Александр Фeдорович Федотов, Mikhail Nikolaevich Saushkin, Oksana Valerievna Karanaeva, L S Pasynok, Vladimir Sergeevich Borodin, Elena Yur'evna Moshchenskaya, Ekaterina Vasil'evna Stefanyuk, Yuriy Valentinovich Malyshev, Vladimir Pavlovich Radchenko, Vladimir Eugenievich Zoteev, Mikhail Vyacheslavovich Dolgopolov, Leonid Alexandrovich Saraev, B A Gorlach, Boris Ivanovich Bertyaev, Sergey Pavlovich Pomytkin, Eugeniy Nikolaevitch Ogorodnikov, Yuliy Isaakovich Kadashevich, Артeм Анатольевич Заусаев, Alexey Vladimirovich Efremov, and Valeriy Gavrilovich Ovchinnikov

Subjects
Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis, Mathematics
Published
2004

20. Исследование устойчивости вычислений среднеквадратичных оценок коэффициентов авторегрессионной модели колебаний систем с турбулентным трением

Author

L S Pasynok, Yuriy Valentinovich Malyshev, Alexey Vladimirovich Budkin, Valentin Fedorovich Pavlov, T V Yankovskaya, Sergey L'vovich Stepanov, Andrey Gennadievich Ol'khin, Yuliya Nikolaevna Surgutanova, Dimitrii L'vovich Golovashkin, Marina Vitalievna Klimova, Georgiy Vasil'evich Pavlov, Elena Anatolievna Prosvirkina, Irina Sergeevna Makarova, Ludmila Alexandrovna Mitlina, Anatoliy Petrovich Philatov, Артeм Анатольевич Заусаев, Yuliy Isaakovich Kadashevich, Lev Pavlovich Usol'tsev, G Yu Ermolenko, V I Mironov, Фанис Xайдарович Алтынбаев, Alexandr Sergeevich Trunin, E A Il'ina, Ekaterina Vasil'evna Stefanyuk, Yu V Trubnikov, Yurii Eduardovich Senitskii, Dmitrii Mikhailovich Gureev, Sergey Alexandrovich Bordakov, Olga Eugen'evna Morgunova, Mikhail Nikolaevich Saushkin, B A Gorlach, Liliya Ramil'evna Gaisina, Ivan Eugen'evich Koz'ma, Margarita Rudol'fovna Vinogradova, Alexandr Fedorovich Fedotov, Alexander Ivanovich Nikonov, Pavel Ivanovich Krasnoshchekov, V K Tartashkin, Valerii Vladimirovich Struzhanov, Artem Anatolievich Zausaev, Vladimir Pavlovich Radchenko, Mikhail Vyacheslavovich Dolgopolov, V V Yurgelas, Anton Valentinovich Efimov, Александр Фeдорович Федотов, S V Yarmushkin, Vyacheslav Sergeevich Glushchenkov, Alexandr Sergeevich Eremin, Leonid Alexandrovich Saraev, Валентин Фeдорович Павлов, Fanis Khaydarovich Altynbaev, Александр Сергеевич Ерeмин, Alexey Georgievich Mikheev, Boris Ivanovich Bertyaev, Sergey Valentinovich Zhuiko, Anatolii Fedorovich Zausaev, I A Smirnov, Oksana Valerievna Karanaeva, Elena Yur'evna Moshchenskaya, A K Kubanova, Vladimir Eugenievich Zoteev, Vladimir Sergeevich Borodin, Sergey Pavlovich Pomytkin, Eugeniy Nikolaevitch Ogorodnikov, Gleb Dmitrievich Gureev, Natal'ya Alexandrovna Arkhipova, Aleksandr Anatolevich Andreev, Alexey Vladimirovich Efremov, Valeriy Gavrilovich Ovchinnikov, and M A Brazhnikov

Subjects
Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis
Published
2004

21. Исследование устойчивости резонансного характера движения астероидов групп Аполлона, Амура, Атона

Author

Alexey Vladimirovich Budkin, Valeriy Gavrilovich Ovchinnikov, Yu V Trubnikov, T V Yankovskaya, G Yu Ermolenko, Valerii Vladimirovich Struzhanov, Artem Anatolievich Zausaev, Aleksandr Anatolevich Andreev, Alexandr Sergeevich Eremin, Marina Vitalievna Klimova, Georgiy Vasil'evich Pavlov, Yuliya Nikolaevna Surgutanova, M A Brazhnikov, Anatoliy Petrovich Philatov, Pavel Ivanovich Krasnoshchekov, Фанис Xайдарович Алтынбаев, A K Kubanova, Anatolii Fedorovich Zausaev, Vyacheslav Sergeevich Glushchenkov, Ivan Eugen'evich Koz'ma, V I Mironov, Alexandr Fedorovich Fedotov, Sergey Alexandrovich Bordakov, Olga Eugen'evna Morgunova, Alexander Ivanovich Nikonov, Liliya Ramil'evna Gaisina, Anton Valentinovich Efimov, L S Pasynok, Elena Anatolievna Prosvirkina, S V Yarmushkin, Alexey Vladimirovich Efremov, Sergey L'vovich Stepanov, Ekaterina Vasil'evna Stefanyuk, Yuriy Valentinovich Malyshev, Артeм Анатольевич Заусаев, Alexandr Sergeevich Trunin, E A Il'ina, Yuliy Isaakovich Kadashevich, Валентин Фeдорович Павлов, Ludmila Alexandrovna Mitlina, Boris Ivanovich Bertyaev, Vladimir Sergeevich Borodin, I A Smirnov, V V Yurgelas, Dimitrii L'vovich Golovashkin, Fanis Khaydarovich Altynbaev, Alexey Georgievich Mikheev, Lev Pavlovich Usol'tsev, Dmitrii Mikhailovich Gureev, Mikhail Nikolaevich Saushkin, Sergey Valentinovich Zhuiko, Vladimir Pavlovich Radchenko, Mikhail Vyacheslavovich Dolgopolov, Александр Фeдорович Федотов, Irina Sergeevna Makarova, V K Tartashkin, Leonid Alexandrovich Saraev, Natal'ya Alexandrovna Arkhipova, Yurii Eduardovich Senitskii, Vladimir Eugenievich Zoteev, Sergey Pavlovich Pomytkin, Eugeniy Nikolaevitch Ogorodnikov, Gleb Dmitrievich Gureev, B A Gorlach, Valentin Fedorovich Pavlov, Oksana Valerievna Karanaeva, Elena Yur'evna Moshchenskaya, Andrey Gennadievich Ol'khin, Margarita Rudol'fovna Vinogradova, and Александр Сергеевич Ерeмин

Subjects
Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis
Published
2004

23. обобщенное неравенство Берлинга - Ханнера

Author

Fanis Khaydarovich Altynbaev, V V Yurgelas, M A Brazhnikov, Aleksandr Anatolevich Andreev, Alexey Georgievich Mikheev, Sergey Valentinovich Zhuiko, Marina Vitalievna Klimova, Yuliya Nikolaevna Surgutanova, L S Pasynok, Georgiy Vasil'evich Pavlov, Ludmila Alexandrovna Mitlina, G Yu Ermolenko, V I Mironov, Irina Sergeevna Makarova, Sergey L'vovich Stepanov, Valeriy Gavrilovich Ovchinnikov, Alexey Vladimirovich Budkin, Anatoliy Petrovich Philatov, Фанис Xайдарович Алтынбаев, Lev Pavlovich Usol'tsev, Yu V Trubnikov, A K Kubanova, Ivan Eugen'evich Koz'ma, Vladimir Eugenievich Zoteev, Alexandr Fedorovich Fedotov, Александр Фeдорович Федотов, Alexander Ivanovich Nikonov, Pavel Ivanovich Krasnoshchekov, B A Gorlach, Sergey Pavlovich Pomytkin, Valerii Vladimirovich Struzhanov, Eugeniy Nikolaevitch Ogorodnikov, Vyacheslav Sergeevich Glushchenkov, Alexandr Sergeevich Eremin, Artem Anatolievich Zausaev, Артeм Анатольевич Заусаев, Sergey Alexandrovich Bordakov, Olga Eugen'evna Morgunova, Alexey Vladimirovich Efremov, Alexandr Sergeevich Trunin, S V Yarmushkin, E A Il'ina, T V Yankovskaya, Liliya Ramil'evna Gaisina, Anatolii Fedorovich Zausaev, Dimitrii L'vovich Golovashkin, Elena Anatolievna Prosvirkina, Anton Valentinovich Efimov, Natal'ya Alexandrovna Arkhipova, Vladimir Sergeevich Borodin, Yuriy Valentinovich Malyshev, V K Tartashkin, Leonid Alexandrovich Saraev, Ekaterina Vasil'evna Stefanyuk, Yurii Eduardovich Senitskii, Yuliy Isaakovich Kadashevich, Gleb Dmitrievich Gureev, Valentin Fedorovich Pavlov, Margarita Rudol'fovna Vinogradova, Александр Сергеевич Ерeмин, Oksana Valerievna Karanaeva, Elena Yur'evna Moshchenskaya, Andrey Gennadievich Ol'khin, Boris Ivanovich Bertyaev, Dmitrii Mikhailovich Gureev, Vladimir Pavlovich Radchenko, Mikhail Vyacheslavovich Dolgopolov, I A Smirnov, Mikhail Nikolaevich Saushkin, and Валентин Фeдорович Павлов

Subjects
Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis
Published
2004

24. Теория бликов в $R^n$

Author

Валентин Фeдорович Павлов, Mikhail Nikolaevich Saushkin, I A Smirnov, M A Brazhnikov, Gleb Dmitrievich Gureev, Andrey Gennadievich Ol'khin, L S Pasynok, Valerii Vladimirovich Struzhanov, Yuliya Nikolaevna Surgutanova, Artem Anatolievich Zausaev, Yurii Eduardovich Senitskii, Yu V Trubnikov, Marina Vitalievna Klimova, Georgiy Vasil'evich Pavlov, Alexandr Sergeevich Eremin, Sergey L'vovich Stepanov, V I Mironov, Yuriy Valentinovich Malyshev, Margarita Rudol'fovna Vinogradova, Dimitrii L'vovich Golovashkin, Alexey Vladimirovich Budkin, Dmitrii Mikhailovich Gureev, Anatoliy Petrovich Philatov, Фанис Xайдарович Алтынбаев, Valeriy Gavrilovich Ovchinnikov, Aleksandr Anatolevich Andreev, Lev Pavlovich Usol'tsev, Valentin Fedorovich Pavlov, Sergey Alexandrovich Bordakov, Александр Сергеевич Ерeмин, Vladimir Sergeevich Borodin, Olga Eugen'evna Morgunova, Ludmila Alexandrovna Mitlina, Natal'ya Alexandrovna Arkhipova, Anatolii Fedorovich Zausaev, V V Yurgelas, T V Yankovskaya, Leonid Alexandrovich Saraev, Liliya Ramil'evna Gaisina, Fanis Khaydarovich Altynbaev, Oksana Valerievna Karanaeva, Alexey Georgievich Mikheev, Pavel Ivanovich Krasnoshchekov, B A Gorlach, Anton Valentinovich Efimov, Vladimir Pavlovich Radchenko, Mikhail Vyacheslavovich Dolgopolov, Ivan Eugen'evich Koz'ma, Vyacheslav Sergeevich Glushchenkov, Alexandr Fedorovich Fedotov, Elena Yur'evna Moshchenskaya, Sergey Valentinovich Zhuiko, Alexander Ivanovich Nikonov, Boris Ivanovich Bertyaev, Артeм Анатольевич Заусаев, Elena Anatolievna Prosvirkina, Alexey Vladimirovich Efremov, Alexandr Sergeevich Trunin, Vladimir Eugenievich Zoteev, G Yu Ermolenko, E A Il'ina, Sergey Pavlovich Pomytkin, Eugeniy Nikolaevitch Ogorodnikov, Александр Фeдорович Федотов, Ekaterina Vasil'evna Stefanyuk, A K Kubanova, Yuliy Isaakovich Kadashevich, Irina Sergeevna Makarova, V K Tartashkin, and S V Yarmushkin

Subjects
Mechanics of Materials, Applied Mathematics, Modeling and Simulation, Condensed Matter Physics, Mathematical Physics, Software, Analysis
Published
2004

26. Models of stochastic dynamics of development of industrial enterprises with lagging internal and external investments

Author

Alexander L. Saraev and Leonid A. Saraev

Subjects
enterprise production factors, production function, output, resources, stochastic equations, wiener process, the drift coefficient, volatility factor, lagging investment, Mathematics, QA1-939
Abstract

The article proposes new stochastic models of the dynamic development of enterprises that restore their production at the expense of internal and external lagging investments. Systems of stochastic differential balance equations for such enterprises are established, describing random changes in factors of production and output. Proportional, progressive and digressive depreciation deductions are considered and their interaction with lagging internal and external investments is investigated. The conditions for achieving an equilibrium state of the enterprises work are formulated and the corresponding limiting values of the factors of production are calculated. Algorithms of the EulerMaruyama method are obtained for numerical solutions of systems of stochastic differential equations of enterprise development. For each numerical implementation of these algorithms, the corresponding stochastic trajectories are constructed for the random functions of factors of production and output. A variant of the method for calculating the mathematical expectations of random functions of production factors is proposed, for which the corresponding system of differential equations is obtained. Numerical analysis of solutions of stochastic differential equations for the developed models showed good agreement with the known statistical data on the development of industrial enterprises.

Published
2021
Full Text
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27. Stochastic calculation of curves dynamics of enterprise

Author

Aleksandr Leonidovich Saraev and Leonid Alexandrovich Saraev

Subjects
production factors, production function, stochastic equations, wiener process, drift coefficient, volatility factor, euler–maruyama method, Mathematics, QA1-939
Abstract

The article proposes mathematical models of the stochastic dynamics of the single-factor manufacturing enterprises development through internal and external investments. Balance equations for such enterprises are formulated, describing random processes of continuous increase in output and growth of production factors. The interaction of proportional, progressive and digressive depreciation with internal and external investments is investigated. Equations are obtained to determine the equilibrium state of the enterprise and the limiting values of the factors of production are calculated. The cases of the stable progressive development of the enterprise, the suspension of its work during the re-equipment of production and the temporary crisis of production shutdown during equipment replacement are considered. The algorithm for the numerical solution of stochastic differential equations of enterprise development is constructed in accordance with the Euler–Maruyama method. For each implementation of this algorithm, the corresponding stochastic trajectories are constructed for the random function of the production factor. A variant of the method for calculating the expectation of a random function of a factor of production is developed and the corresponding differential equation is obtained for it. It is shown that the numerical solution of this equation and the average value of the function of the production factor calculated from two hundred realizations of stochastic trajectories give almost identical results. Numerical analysis of the developed models showed good compliance with the known statistical data of the production enterprise.

Published
2020
Full Text
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