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The paper deals with a magnetic system on the basis of permanent magnets with a running circular channel. The permanent axially-symmetric transverse magnetic field operates on the aqueous medium. The physico-mathematical model is created for the motion of the charged particle under the action of the magnetic field of the system with allowance for the forces of interaction: magnetic field with a charged particle, charged particles between themselves and action of the stream on the particles. This paper determinates the criteria of parameters choice for the magnetic system. [ABSTRACT FROM AUTHOR]

In this paper, we consider the algorithm for calculating the object dynamic characteristics in the automatic control system. Specifically, the algorithm allows obtaining numerically pulse and transitive characteristics of the process relying on the reaction of a control system on the task change. The algorithm of this problem solving can be numerically applied by employing the Duhamel integral. Moreover, we consider the sample of this algorithm program implementation when modeling transients in the control system. [ABSTRACT FROM AUTHOR]

In this paper, we compare Way, Saaty, Cogger & Yu methods to determine the weight coefficients of optimization criteria importance in the problem of obtaining the optimal sequence of using the main methods of increasing the static stability of induction motors. Finally, our research results show that Saaty method is the optimal method for solving this problem. [ABSTRACT FROM AUTHOR]

This paper proposes the algorithm for decreasing the blinks influence at the analysis of the iridologycal image of the eye. It allows improving the reliability and accuracy of pupil's edge detection. Its advantages and efficiency are confirmed by the results of numerical simulations. This algorithm is based on the detection of an encompassing rectangle for all pupil edge points. Each point of the rectangle is connected with the image center. Finally, we remove all edge points on this ray, except the first edge point. [ABSTRACT FROM AUTHOR]

The paper proposes the mathematical model for numerical solving of multi-parameter non-linear computational problem for analysis of the electrode melting process in the "electrode-arc" system. This model can be utilized under the conditions of pulsed metal arc welding by using argon or argon-based mixtures as a shielding gas. In addition, impulse parameters are calculated for the pulsed MIG welding. As a result, we obtain an area of impulse parameters which ensures the equality of electrode feed speed to its melting speed. [ABSTRACT FROM AUTHOR]

The aim of this paper is to formulate a problem of laminar viscous flow through an endless rectangular pipe with an easily penetrable roughness (EPR) on walls. We solve this problem by utilizing the MATLAB mathematical package. Moreover, we obtain the numeric data on the roughness depth and density. Our research results are tested on some borderline cases that result in the given problems. [ABSTRACT FROM AUTHOR]

In this paper, we prove that a non-dyadic one-dimensional discrete wavelet-transform doesn't save any additional filter of the dyadic wavelet-transform, except the low-frequency filter of decomposition. [ABSTRACT FROM AUTHOR]

In this paper, we consider a class of evolution inclusions with Sκ type maps. Using the Faedo-Galerkin method, the existence of periodic solutions was proved. To demonstrate the obtained generalizations, we provide a simple example. [ABSTRACT FROM AUTHOR]

In this paper, we consider a class of the second order evolution equations with Wλ0-pseudomonotone maps. Using the Faedo-Galerkin method, the resolvability for a class of evolution equations with nonlinear noncoercive operators, in particular with variation calculus operators, is proved. Furthermore, the uniform priori estimations in Lq (S;V'σ) for derivatives are obtained. The results of the study suggest the perspectives for investigation of wider classes of wave processes with "nonlinear friction" as compared to [12, 13]. [ABSTRACT FROM AUTHOR]

This paper makes a case for the singular integro-differential equation with Cauchy kernel concerning the pressure distribution for the harmonious plate oscillations problem on a free liquid surface. Special attention is given to the solution of the plate oscillations problem under the regular waves influence. The results of the study demonstrate the dependencies of loading and the corners of a plate turn from the wave length. Moreover, the numerical analysis is conducted according to the method of discrete vortexes and the calculations examples for progressive and standing waves presented. [ABSTRACT FROM AUTHOR]

The paper is devoted to the investigation of solutions stability of n-dimensional Lotka-Volterra system. The research wouldn't be finished successfully without using logarithmic variables. Only the first orthant was taken into consideration. All conditions were found under which the global stability region belongs to this orthant. It permitted to determine values of the model parameters (parameters of the environment), under which a stable coexistence of the n biological populations is possible, in dependent of their initial members. [ABSTRACT FROM AUTHOR]

The Kneser property for non-autonomous dissipative wave equation without uniqueness of solution of the Cauchy problem is proved in the paper. It is proved more precisely, that the set of all solutions of the Cauchy problem in each moment of time is compact and connected subset of the phase space. [ABSTRACT FROM AUTHOR]