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Correction of the paper "Effect of year, lambing season, sex and birth type on early performance in MIS lambs" by Bogdan Cekic, Dragana Ruzic-Muslic, Nevena Maksimovic, Violeta Caro-Petrovic, Krstina Zeljic Stojiljkovic, Ivan Cosic, Radmila Beskorovajni, published in Biotechnology in Animal Husbandry vol. 37 (4), pages 255-262, 2022 (DOI: 10.2298/BAH2104255C): In Tables 1 and 2 instead of BW90, kg correct is BW60, kg. In Table 1 the values of statistical parameters for ADG2, g and ADG3, g are changed. Link to the corrected article 10.2298/BAH2104255C

In this paper quality of carcasses/carcass sides and meat from 5 different pig genotypes was comparably evaluated. Quality of carcass sides was evaluated prior to slaughtering in vivo (SONOMARK SM 100 M), early post mortem on slaughter line (FOM), by method of two points (ZP - ZWEIPUNKT) as well as method of partial dissection on cold left carcass sides according to EU recommendations. By analysis of obtained results it can be concluded that fatteners of type E (LW x SL) x P had the highest meat yield in carcass sides (61,90; 62,40; 58,85 and 58,89%) by any other mentioned methods of evaluation compared to average meat yield in carcass sides of other investigated genotypes. Average yield of muscle tissue in carcasses of pigs of E genotype (LW x SL) x P (58,89%) established by method of partial dissection was statistically considerably higher (*p

A centralized biogas plant was built in Shikaoi town, Hokkaido, Japan to treat manure from 1320 cattle heads. The biogas plant was designed to operate at a feeding amount of 85.8 t/day, a hydraulic retention time (HRT) of 37 days and at a digester temperature of 38 ?C. In this study, the operational performance of biogas plant, utilization of digested slurry and economic balance were investigated. Since the working conditions of the plant became stable, the biogas production was 2,687 m3/day, 92% of produced biogas was consumed in power generation. Average methane concentration in produced biogas was 57.7%. The hydrogen sulfide (H2S) concentration was decreased to below 140 ppm as a result of bio-desulfurization and dry-desulfurization. The average power generation was 3,737 kwh/day and from that 54% of produced biogas was consumed in the facility operation, while 46% was sold to Power Company. About 20,260 t of digested slurry were applied onto 602 ha grassland and agricultural fields. From the results of the operational performance of the plant and the economic balance evidence, it is evident that the centralized biogas plant has a positive effect on the local economy.

The control of fermentation process in ensilaged livestock feed is based on the knowledge of biomasses. The important aspects are the suitability for ensilaging (the content of fermentative carbohydrates and buffer capacity of the biomass), providing of the correct level of dry matter and anaerobic environment, wilting, using the chemical additives such as organic acids and their salts, using of biologic additives (inoculants), adsorption of mycotoxins, etc. In purpose of making the process of ensilaging of grasses, legumes and grass-legume mixes, the silages are prepared as bales or silo-tubes. Kontrola procesa fementacije bazira se na poznavanju biomasa u pogledu pogodnosti za siliranje, odnosno obezbeđivanju povoljnog odnosa šećera i pufernog kapaciteta. Biomase višegodišnjih leguminoza i trava neophodno je provenjavati, odnosno povećati sadržaj suve materije u silomasi na najmanje 300-400 g kg-1. Za teško silirajuće biomase (višegodišnje i jednogodišnje leguminoze) koristiti ugljenohidratna hraniva (kukuruzna prekrupa, prekrupa ostalih žitarica, suvi rezanci šećerne repe, melasa, i dr.). Korišćenje hemijskih sredstava iz reda organskih kiselina i njihovih soli. Upotreba bioloških dodataka, inokulanata u smeši sa enzimima (amilaze, celulaze, hemicelulaze i dr.) obezbeđuje dobijanje dobre i stabilne silaže, kao i silaže veće hranljive vrednosti. Korišćenje inokulanata sa homo i heterotrofnim mikroorganizmima u cilju obezbeđivanja aerobne stabilnosti silaža, posebno lakosilirajućih biomasa (kukuruza, sirka, sudanske trave, italijanskog ljulja i dr.).

In this study, nutritional components that are obtained during poultry slaughtering having significance with respect to processing into animal feeds were investigated. By-products obtained during poultry slaughtering are considered very valuable raw materials for production of highly valuable animal feeds and energetic feeds. Recognition of chemical and physical characteristics of the raw materials represents essential prerequisite for conduction of any technological process, for proper raw materials handling as well as for the equipment and machines design that are necessary for acceptance and processing of the inedible slaughterhouse by-products. Authors have found that the nitrogen complex of the examined raw materials contains predominantly proteins. Digestible nitrogen for all investigated raw materials equals approximately with total nitrogen content, indicating that all proteins from these raw materials are accessible for utilization in animal organism, with exception of feathers that need special technological processing. Basic chemical composition, nitrogen fractions and amino acid composition of the inedible by-products from poultry slaughterhouses indicate that the processing of these raw materials could be directed into production of swine and pet feeds production, as well in production of bio fuels and biogas. Blood and feathers anyhow represent significant protein source, and soft wastes, heads and legs, as well as the mixed raw material, besides as protein source, can be regarded as raw fat source. .

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The subject of this paper is an analytic approximate method for a class of stochastic differential equations with coefficients that do not necessarily satisfy the Lipschitz and linear growth conditions but behave like a polynomials. More precisely, equations from the observed class have unique solutions with bounded moments and their coefficients satisfy polynomial condition. Approximate equations are defined on partitions of a time interval, and their coefficients are Taylor approximations of the coefficients of the initial equation. The rate of Lp convergence increases when degrees in Taylor approximations of coefficients increase. At the end of the paper, an example is provided to support the main theoretical result.

The aim of this paper is to correct results from the published paper: A companion of Ostrowski Type Integral Inequality Using a 5-Step Kernel with Some Applications, Filomat 30:13 (2016), 3601-3614.

In the paper, we study the value distribution of the differential polynomial Afn f(k) + Bf n+1 -1, where f is a transcendental meromorphic function and n(? 2),k(?2) are positive integers. We prove an inequality for the Nevanlinna characteristic function T(r,f) in terms of reduced counting function only. The result of the paper not only improves the result due to Q.D. Zhang [J. Chengdu Ins. Meteor., 20(1992), 12-20], also partially improves a recent result of H. Karmakar and P. Sahoo [Results Math., (2018),73:98].

In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of nonspreading mappings and a finite family of nonexpansive multivalued mappings in Hadamard space. We state and prove strong and ? convergence theorems of the proposed iterative process. The results obtained in this paper extend and improve some recent known results.

The aim of this paper is to study the difference gap (in short, D-gap) function and error bounds for a class of the random mixed equilibrium problems in real Hilbert spaces. Firstly, we consider regularized gap functions of the Fukushima type and Moreau-Yosida type. Then difference gap functions are established by using these terms of regularized gap functions. Finally, the global error bounds for random mixed equilibrium problems are also developed. The results obtained in this paper are new and extend some corresponding known results in literatures. Some examples are given for the illustration of our results.

Multisplitting methods are useful to solve differential-algebraic equations. In this connection, we discuss the theory of matrix splittings and multisplittings, which can be used for finding the iterative solution of a large class of rectangular (singular) linear system of equations of the form Ax = b. In this direction, many convergence results are proposed for different subclasses of proper splittings in the literature. But, in some practical cases, the convergence speed of the iterative scheme is very slow. To overcome this issue, several comparison results are obtained for different subclasses of proper splittings. This paper also presents a few such results. However, this idea fails to accelerate the speed of the iterative scheme in finding the iterative solution. In this regard, Climent and Perea [J. Comput. Appl. Math. 158 (2003), 43-48: MR2013603] introduced the notion of proper multisplittings to solve the system Ax = b on parallel and vector machines, and established convergence theory for a subclass of proper multisplittings. With the aim to extend the convergence theory of proper multisplittings, this paper further adds a few results. Some of the results obtained in this paper are even new for the iterative theory of nonsingular linear systems.

The problems considered in this paper are described in polyhedral multi-valued mappings for higher order(s-th) discrete (PDSIs) and differential inclusions (PDFIs). The present paper focuses on the necessary and sufficient conditions of optimality for optimization of these problems. By converting the PDSIs problem into a geometric constraint problem, we formulate the necessary and sufficient conditions of optimality for a convex minimization problem with linear inequality constraints. Then, in terms of the Euler-Lagrange type PDSIs and the specially formulated transversality conditions, we are able to obtain conditions of optimality for the PDSIs. In order to obtain the necessary and sufficient conditions of optimality for the discrete-approximation problem PDSIs, we reduce this problem to the form of a problem with higher order discrete inclusions. Finally, by formally passing to the limit, we establish the sufficient conditions of optimality for the problem with higher order PDFIs. Numerical approach is developed to solve a polyhedral problem with second order polyhedral discrete inclusions.

Honey is a thick, sweet, syrupy substance, the product of the honey-bee, Apis mellifera L., obtained from the collected fruit juices and other, processed in the stomach of bees and is a pure product with no additives of any other substance. The paper present physical-chemical analysis for the following parameters, performed on 20 honey samples: sugar content, sucrose content, moisture content, free acidity, electrical conductivity, mineral content, the content of HMF and content of matter insoluble in water. As important indicators of the environment, this paper emphasises the analyses on the presents of antibiotic residues in two types of honey. The importance of establishing these indicators is to protect nature, which is the basis of agricultural development in the Republic of Srpska. The work suggests that the described bee region presents qualitative honey produced by using the natural resources of a designated area as an economic sector for the survival and development of those parts of the Republic of Srpska.

In this paper, we introduce the notion of exceptional family for the system of implicit generalized order complementarity problems in vector lattice. We present some alternative existence results of the solutions for the system of implicit generalized order complementarity problems via topological degree aspects. The new developments in this paper generalize and improve some known results in the literature.

This paper adds in our hands a different analytic numeric method to solve a class of fuzzy fractional differential equations (FFDEs) based on the residual power series method (RPSM) under strongly generalized differentiability. The analytic and approximate solutions are provided with the series form according to their parametric form. The new method explained in the current paper has a lot of advantages as follows: First, its nature is global according to the obtainable solutions along with being able to solve numerous problems such as mathematical, physical and engineering ones. Second. It is easily noted that it is precise, needs few efforts to have the required results achieved, alongside being developed for nonlinear problems and cases. As for the third advantage, it can be said that any point in the interval of interest will be possibly picked, in addition, to have the approximate solutions applied. Fourth, the method does not need the variables discretization, also it is not implemented by computational round of errors. At last, the results reached in the current paper show several features concerning the new method such as potentiality, generality and superiority to handle such problems arising in physics and engineering as well.

In this paper we study the pointwise convergence and convergence in L1-norm of double trigonometric series whose coefficients form a null sequence of bounded variation of order (p,0),(0,p) and (p,p) with the weight (jk)p-1 for some integer p > 1. The double trigonometric series in this paper represents double cosine series, double sine series and double cosine sine series. Our results extend the results of Young [9], Kolmogorov [4] in the sense of single trigonometric series to double trigonometric series and of M?ricz [6,7] in the sense of higher values of p.

In the paper minimization of a Lagrange type cost functional over the feasible set of solutions of higher order differential inclusions with endpoint constraints is studied. Our aim is to derive sufficient conditions of optimality for m th-order convex and non-convex differential inclusions. The sufficient conditions of optimality containing the Euler-Lagrange and Hamiltonian type inclusions as a result of endpoint constraints are accompanied by so-called ?endpoint? conditions. Here the basic apparatus of locally adjoint mappings is suggested. An application from the calculus of variations is presented and the corresponding Euler-Poisson equation is derived. Moreover, some higher order linear optimal control problems with quadratic cost functional are considered and the corresponding Weierstrass-Pontryagin maximum principle is constructed. Also at the end of the paper some characteristic features of the obtained result are illustrated by example with second order linear differential inclusions.

In this paper, a sufficient condition in order to have C-udomonotone property for multifunctions is presented. By applying a special minimax theorem and KKM theory some existence results of solutions of a generalized variational inequality problem are established. Some examples in order to illustrate the main results are given. The results of this paper can be considered as extension and improvement of some articles in this area.

In this paper, we continue investigation of the problem considered in our earlier works. The paper deals with an optimal control problem for an ordinary differential equation with integral boundary conditions that generalizes the Cauchy problem. The problem is investigated the case when Pontryagin?s maximum principle is degenerate. Moreover, the second order optimality conditions are derived for the considered problem.

This paper is concerned with a stochastic non-autonomous Lotka-Volterra cooperative model with impulsive effects. The main purpose of this paper is to explore the existence of periodic solution of the system provided that the coefficients of the system are continuous periodic functions. By constructing appropriate Lyapunov functions and using the theory of Khasminskii, sufficient conditions under which the existence of the periodic solution of the system are obtained. Our results illustrate that the existence of the periodic solution has close relations with the white noise and the impulsive perturbations.

In this paper, we study two parametric weak and strong vector quasivariational inequality problems of the Minty type. The stability properties of the exact solution sets and approximate solution sets for these problems such as the upper semicontinuity, the lower semicontinuity, the Hausdorff lower semicontinuity, the continuity and the Hausdorff continuity are obtained. The results presented in the paper improve and extend the main results in the literature.

In this paper, we consider the system of generalized variational-like inclusion problems in semi-inner product spaces. We define a class of (H,?)-?-monotone operators and its associated class of generalized resolvent operators. Further, using generalized resolvent operator technique, we give the existence of solution of the generalized variational-like inclusion problems. Furthermore, we suggest an iterative algorithm and give the convergence analysis of the sequences generated by the iterative algorithm. The results presented in this paper extend and unify the related known results in the literature.

In this paper, the complete moment convergence for the weighted sums of extended negatively dependent (END, in short) random variables is investigated. Some general conditions to prove the complete moment convergence are provided. The results obtained in the paper generalize and improve the corresponding ones for some dependent sequences.

In this paper, we present some results on the complete convergence for arrays of rowwise negatively superadditive dependent (NSD, in short) random variables by using the Rosenthal-type maximal inequality, Kolmogorov exponential inequality and the truncation method. The results obtained in the paper extend the corresponding ones for weighted sums of negatively associated random variables with identical distribution to the case of arrays of rowwise NSD random variables without identical distribution.

The purpose of this paper is to introduce and study an iterative scheme for solving the split feasibility problems in the setting of $p$-uniformly convex and uniformly smooth Banach spaces. Under suitable conditions a strong convergence theorem is established. The main result presented in this paper extends some recent results done by Jitsupa Deepho and Poom Kumam [Jitsupa Deepho and Poom Kumam, A Modified Halpern’s Iterative Scheme for Solving Split Feasibility Problems, Abstract and Applied Analysis, Volume 2012, Article ID 876069, 8 pages] and some others.

In this paper, an accelerated Jacobi-gradient based iterative (AJGI) algorithm for solving Sylvester matrix equations is presented, which is based on the algorithms proposed by Ding and Chen [6], Niu et al. [18] and Xie et al. [25]. Theoretical analysis shows that the new algorithm will converge to the true solution for any initial value under certain assumptions. Finally, three numerical examples are given to verify the eficiency of the accelerated algorithm proposed in this paper.

This paper represents a generalization of the stability result on the Euler-Maruyama solution, which is established in the paper M. Milosevic, Almost sure exponential stability of solutions to highly nonlinear neutral stochastics differential equations with time-dependent delay and Euler-Maruyama approximation, Math. Comput. Model. 57 (2013) 887 - 899. The main aim of this paper is to reveal the sufficient conditions for the global almost sure asymptotic exponential stability of the ?-Euler-Maruyama solution (? ? [0, 1/2 ]), for a class of neutral stochastic differential equations with time-dependent delay. The existence and uniqueness of solution of the approximate equation is proved by employing the one-sided Lipschitz condition with respect to the both present state and delayed arguments of the drift coefficient of the equation. The technique used in proving the stability result required the assumption ? ?(0, 1/2], while the method is defined by employing the parameter ? with respect to the both drift coefficient and neutral term. Bearing in mind the difference between the technique which will be applied in the present paper and that used in the cited paper, the Euler-Maruyama case (? = 0) is considered separately. In both cases, the linear growth condition on the drift coefficient is applied, among other conditions. An example is provided to support the main result of the paper.

In this paper, two kinds of system of fuzzy differential inclusions are introduced and studied. An existence of the solutions for one system of fuzzy differential inclusions is proved by using continuous selection theorem. An existence of the solutions for another system of fuzzy differential inclusions is also proved by employing the fixed point theorem in the generalized metric space. The results presented in this paper improve and extend some known results concerned with the multivalued Cauchy problem and fuzzy differential inclusions.

In this paper, we study the symmetric generalized quasi-variational inclusion problems. Then, we establish some existence theorems of solution sets for these problems. Moreover, the stability of solutions for these problems are also onbtained. Finally, we apply these results to symmetric vector quasi-equilibrium problems. The results presented in this paper improve and extend the main results in the literature. Some examples are given to illustrate our results.

Incubation factors have a great influence on embryonic and postnatal development of broiler chickens. The aim of changing of incubation factors is to obtain the best possible production characteristics of broilers. In previous studies, it was determined that the application of monochromatic green light and thermal conditioning during incubation give the most satisfactory results on the postnatal development of chickens. This paper examines the effects of green monochromatic light and thermal conditioning during incubation on the carcass characteristics of broilers. In this paper four experimental groups were set. The first group was incubated under the standard conditions (37.8 ? C, no light). In the second group incubation temperature were increased, while in the third group incubation was carried out under green monochromatic light. In the fourth group temperature and light conditions of incubation were changed simultaneously. In all groups, changes of incubation factors were made at precisely defined time intervals. After hatching, chickens were grown up to day 42, when they were sacrificed and their carcass characteristics examined. Analysis of results showed that all treated groups have significant higher body weight, weight of drumsticks, thighs and toes. The fourth group have significant higher weight of breasts and wings compared to control group. These results are explained by the influence of the temperature and light changes during incubation on the increased proliferation of myoblasts, the growth of skeletal muscle cells, and the activity of satellite cells, which are reflected in changes of carcass characteristics.

The effects of use of high protein plant feed - Ekofish meal in nutrition of sows in lactation, sucking piglets and weaned piglets were investigated in this paper. Considering our previous positive experiences in use of similar feed in nutrition of weaned piglets and fatteners, objective of this paper was to evaluate the effects of use of high protein feed based on plant proteins in diets for lactating sows, suckling and weaned piglets. Investigated feed was produced according to specific technology in production facilities of the firm Bankom in Serbia. Investigations were carried out on the Experimental pig farm of the Institute for Animal Husbandry, Belgrade-Zemun in Serbia. Obtained results showed that in isonitrogen mixtures the introduction of studied feed as substitute for fish meal had positive effects: by 6,18% lower losses of body mass of sows during lactation, by 1,6 shorter service period, with almost identical gain (difference of 2 g) in suckling piglets, increased consumption of pre-starter by 1,1 kg/litter in piglets during creep feeding, and similar but by 4,73% lower cost of gain with similar feed conversion in weaned piglets. In general, obtained results have shown that use of high protein plant feed can be recommended in nutrition of sows, suckling and weaned piglets. Ispitivani su efekti korišćenja visokoproteinskog hraniva biljnog porekla - Ekofish meal u ishrani krmača u laktaciji, prasadi na sisi i u odgoju. Imajući u vidu naša ranija pozitivna iskustva o korišćenju sličnog hraniva u ishrani odbijene prasadi i svinja u tovu, cilj ovoga rada je bio da se ocene efekti korišćenja visokoproteinskog hraniva zasnovanog na biljnim izvorima proteina u obrocima krmača u laktaciji, prasadi na sisi, i u odgoju. Ispitivano hranivo je proizvedeno po određenoj tehnologiji u pogonima kompanije Bankom u Srbiji. Istraživanja su izvedena na eksperimentalnoj farmi svinja Instituta za stočarstvo, Beograd-Zemun u Srbiji. Dobijeni rezultati su pokazali da je u izonitrogenim smešama uvođenje ispitivanog hraniva umesto ribljeg brašna imalo pozitivne efekte izražene za 6,18% manjim gubicima telesne mase krmača tokom laktacije, za 1,6 dana kraćim servis periodom, skoro istim prirastom (razlika 2 grama) kod prasadi na sisi, povećanom potrošnjom predstartera za 1,1 kg/leglo kod prasadi tokom prihranjivanja, sličnim ali za 4,73% jeftinijim prirastom uz sličnu konverziju hrane kod prasadi u odgoju. U celini dobijeni rezultati su pokazali da se preporučuje korišćenje biljnog visokoproteinskog hraniva u ishrani krmača, prasadi na sisi i u odgoju.

In this paper, simplified theory of electrophoresis is presented. The effect of certain actors on course of electrophoresis. Presented theoretical elements enable easier work and obtaining of more reliable data. Based on medium used, voltage, direction and dimensions categorization of electrophoresis is presented. Also, possibilities for use of electrophoresis in livestock production, medicine, veterinary science and pharmacy are also presented in the paper. It is stressed that by application of electrophoresis genetic variants related to certain production trait can be determined, which enables better selection in livestock production. Also, by application of this method in investigation of biological material we can find out more about physiological and metabolical processes related to main functions of the organism, nutrition, health condition and genetics.

Calcium and phosphorus represent very important nutrients when it comes to poultry diet formulations. In this paper, we will briefly discuss the relevance and nutritional requirements of these minerals in poultry feedstuffs as well as the average amounts in poultry feed commercially sold in the Serbian market. A total of 1,058 samples of standard complete feed mixtures for broilers and laying hens were collected from the Serbian market, produced by the four major Serbian manufacturers (I-IV) of animal feed over a period of five years (2017-2021). The samples were classified into five groups: broiler starter feed (n = 198) - SF, grower feed (n = 239) - GF, and finisher feed (n = 204) – FF; layers feed 1 (n = 204) – LF1, and layers feed 2 (n = 213) – LF2. This research suggests that the mineral composition of poultry feed is highly variable among manufacturers, but also among the batches of the same manufacturers. All manufacturers for the analyte in focus had values for certain batches that were outside the limits set by the Rulebook. In general, the results of our research indicate that the average content of total phosphorus in feed for broilers and laying hens in Serbia was mostly close to the minimum-to-mid value of the defined (and declared) range of permitted concentrations by the Rulebook, while the calcium content was predominantly close to the maximum-to-middle value. Based on the results of this study, it is recommended that feed manufacturers more frequently conduct an external analysis of samples of feed components and poultry feed products for the composition of these nutrients. Quality control of animal feed could be advised for poultry farms as well in order to make sure that the feed is actually within the parameters given by the manufacturers’ declaration. Kalcijum i fosfor predstavljaju važne mikronutrijente u hrani za živinu. U ovom radu ćemo ukratko govoriti o značaju i nutritivnim potrebama ovih minerala u ishrani živine, kao i o prosečnim količinama ovih nutrijenata u hrani živine koja se može komercijalno naći na tržištu Srbije. Sa tržišta Srbije prikupljeno je ukupno 1.058 uzoraka od četiri velika srpska proizvođača stočne hrane u periodu od pet godina - od januara 2017. do decembra 2021. Uzorci su klasifikovani u četiri grupe: Potpune smeše za tov pilića I (n = 198) - SF, Potpune smeše za tov pilića II (n = 239) - GF, Potpune smeše za tov pilića III (n = 204) - FF, Potpune smeše za nosilje jaja za konzum I (n = 204) – LF1, i Potpune smeše za nosilje jaja za konzum II (n = 213) – LF2. Ovo istraživanje ukazuje na to da je mineralni sastav hrane za živinu veoma različit među proizvođačima, ali i među šaržama istog proizvođača. Nekoliko šarži proizvođača I (kod grupa SF, GF, FF) i IV (kod FF grupe), čak i kada se primene pravila za dozvoljena odstupanja za smeše iz Pravilnika o kvalitetu hrane za životinje, nisu bile prihvatljive po kvalitetu, jer je njihov sadržaj kalcijuma bio veći od dozvoljenog za analiziranu smešu hraniva. U pogledu sadržaja ukupnog fosfora, rezultati pojedinih šarži za kategorije GF i FF proizvođača II bili su niži i po primeni računice za dozvoljena odstupanja za smeše prema Pravilniku, pa se kao takve, smatraju neprihvatljivim. Na osnovu rezultata ove studije može se preporučiti da se češće vrše eksterne analize uzoraka hrane za živinu na sastav ovih nutrijenata, kao i komponenta koje ulaze u ove smeše. Kontrola kvaliteta stočne hrane može se savetovati i uzgajivačima živine kako bi se uverili da je hrana koju daju životinjama zaista u okviru parametara datih u deklaraciji proizvođača.

In recent years, the AOR iterative method has been proposed for solving absolute value equations. This method has two parameters ? and ?. In this paper, we intend to find the optimal parameters of this method to improve convergence rate by suitable optimization techniques. Meanwhile, the convergence of the optimized AOR iterative method is discussed. It is both theoretically and experimentally demonstrated efficiency of the optimized AOR iterative method in contrast with the AOR and SOR methods.

In this paper, we establish some existence results for higher-order nonlinear fractional differential inclusions with multi-strip conditions, when the right-hand side is convex-compact as well as nonconvexcompact values. First, we use the nonlinear alternative of Leray-Schauder type for multivalued maps. We investigate the next result by using the well-known Covitz and Nadler?s fixed point theorem for multivalued contractions. The results are illustrated by two examples.

In this paper, we introduce a flexible extension of the generalized weighted exponential distribution which is called four-parameter generalized weighted exponential (FGWE) distribution. Theoretical properties of this model including the mode, median, moment generator function, moments, mean deviations, mean residual life, coefficients of skewness and kurtosis, hazard function, survival function, Bonferroni and Lorenz curves, reliability probability, entropy measures and stochasting ordering are derived and studied in details. We develop the maximum likelihood estimators of the unknown parameters and their corresponding asymptotic confidence intervals. A simulation study and a real world application are also worked out to assess the maximum likelihood estimators and to illustrate the applicability of the proposed distribution in practice.

In this paper, we consider the method for solving the finite minimax problems. By using the exponential penalty function to smooth the finite minimax problems, a new three-term nonlinear conjugate gradient method is proposed for solving the finite minimax problems, which generates sufficient descent direction at each iteration. Under standard assumptions, the global convergence of the proposed new three-term nonlinear conjugate gradient method with Armijo-type line search is established. Numerical results are given to illustrate that the proposed method can efficiently solve several kinds of optimization problems, including the finite minimax problem, the finite minimax problem with tensor structure, the constrained optimization problem and the constrained optimization problem with tensor structure.

In this paper, we investigate the existence and Ulam-Hyers-Rassias stability of solutions for stochastic differential equations with random impulses. Based on the Krasnoselskii?s fixed point theorem, we perform investigations on the existence of solutions to the system of stochastic differential equations with random impulses. We apply the integral inequality of Gronwall type to the equations and study their Ulam-Hyers-Rassias stability.

In this paper, under suitable conditions we employ the nonlinear alternative of Leray-Schauder type and the Guo-Krasnosel?skii fixed point theorem to show the existence of positive solutions for a system of nonlinear singular Riemann-Liouville fractional differential equations with sign-changing nonlinearities, subject to integral boundary conditions. Some examples are given to illustrate our main results.

Visual assessment and recognition of milk performance traits of cows are preliminary indicators of milk yield, longevity, as well as reproductive abilities of the animal, which is very important from the aspect of economy of milk production. Deficiencies in udder traits lead to poorer production, difficult milking and premature weaning of cows from the herd. The paper examines the frequency of desirable scores for a certain trait in first-calving heifers distinguished by way of keeping (heads reared by individual producers/holdings and heads reared on the farm) and by origin (domestic and imported animals), as well as the influence of these two factors on the observed traits. Five udder traits were analyzed: front udder length, rear udder length, rear udder height, central ligament, and udder depth on a total of 954 first-calving Simmental heifers. Observed by the way of rearing, higher frequency of desirable scores for all udder traits were achieved by cows reared on the farm, while according to the origin of cows, higher frequency of desirable scores for all udder traits was achieved by imported cows compared to domestic cows. The influence of factors of housing/keeping and origin, examined by ?2 test on all examined linear scores (frequency of scores) of udder traits was statistically very highly significant (p?0.001), while the analysis of variance (F test) showed very high significance (p?0.001) of interaction of origin and method of rearing on the traits of the central ligament and the udder depth, and significance (p?0.05) on the height of the rear udder, however, no statistical significance (p>0.05) of this interaction was established on other linear scores of udder traits (length of the front and rear udder).

Convergence of real sequences, as well as complex sequences are studied by B. Liu and X. Chen respectively in uncertain environment. In this treatise, we extend the study of almost convergence by introducing double sequences of complex uncertain variable. Almost convergence with respect to almost surely, mean, measure, distribution and uniformly almost surely are presented and interrelationships among them are studied and depicted in the form of a diagram. We also define almost Cauchy sequence in the same format and establish some results. Conventionally we have, every convergent sequence is a Cauchy sequence and the converse case is not true in general. But taking complex uncertain variable in a double sequence, we find that a complex uncertain double sequence is a almost Cauchy sequence if and only if it is almost convergent. Some suitable examples and counter examples are properly placed to make the paper self sufficient.

In this paper, a modified orthogonal linear spline (OL-spline) is used for the numerical solution of a coupled nonlinear inverse reaction-diffusion problem to determine the unknown boundary conditions. The convergence properties of the new linear combination are obtained. A quasi-linearization technique is utilized to linearize the nonlinear term in the equations. This process produces a linear system of equations which can be solved easily. Using the new inequalities, error estimation and convergence of the proposed method are investigated. Two numerical examples are given to demonstrate the computational efficiency of the method and also the experimental convergence rate of examples are obtained.

We utilize the definition of a fractional integral operators, which was presented by Ahmad et al., to investigate a general fractional-type identity with a parameter. We establish certain parameterized fractional integral inequalities based on this identity, and provide two examples to illustrate the obtained results. Also, these results derived in this paper are applied to the estimations of q-digamma function, divergence measures and cumulative distribution function, respectively.

In this paper, we introduce a general viscosity-type extragradient method for solving the fixed point problem of an asymptotically nonexpansive mapping and the variational inclusion problem with two accretive operators. We obtain a strong convergence theorem in the setting of Banach spaces. In terms of this theorem, we establish the strong convergence result for solving the fixed point problem (FPP) of an asymptotically nonexpansive mapping and the variational inequality problem (VIP) for an inverse-strongly monotone mapping in the framework of Hilbert spaces. Finally, this result is applied to deal with the VIP and FPP in an illustrating example.

In this paper, we propose a new explicit iteration method using shrinking projection for solving the split best proximity point and equilibrium problems. We prove its strong convergence under some suitable conditions in Hilbert spaces. A numerical example are given to illustrate the effectiveness of the proposed algorithm.

The main object of this paper is to construct a new Durrmeyer variant of the ?-Bernstein type operators which have better features than the classical one. Some results concerning the rate of convergence in terms of the first and second moduli of continuity and asymptotic formulas of these operators are given. Moreover, we define a bivariate case of these operators and investigate the approximation degree by means of the total and partial modulus of continuity and the Peetre?s K-functional. A Voronovskaja type asymptotic and Gr?ss-Voronovskaja theorem for the bivariate operators is also proven. Further, we introduce the associated GBS (Generalized Boolean Sum) operators and determine the order of convergence with the aid of the mixed modulus of smoothness for the B?gel continuous and B?gel differentiable functions. Finally the theoretical results are analyzed by numerical examples.

In this paper, we consider a nonlinear differential system with initial and multi - point boundary conditions. The existence of solutions is proved by using the Banach contraction principle or the Krasnoselskii?s fixed point theorem. Furthermore, the existence of positive solutions is also obtained by applying the Guo-Krasnoselskii?s fixed point theorem in cones. As a consequence of the Guo-Krasnosellskii?s fixed point theorem, the multiplicity of positive solutions is established.

In this paper, a compact alternating direction implicit (ADI) method has been developed for solving two-dimensional Riesz space fractional diffusion equation. The precision of the discretization method used in spatial directions is twice the order of the corresponding fractional derivatives. It is proved that the proposed method is unconditionally stable via the matrix analysis method and the maximum error in achieving convergence is discussed. Numerical example is considered aiming to demonstrate the validity and applicability of the proposed technique.

In this paper, we present a two-step Ulm-type method to solve systems of nonlinear equations without computing Jacobian matrices and solving Jacobian equations. we prove that the two-step Ulm-type method converges locally to the solution with R-convergence rate 3. Numerical implementations demonstrate the effectiveness of the new method.