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Bulletin of the Karaganda University-Mathematics最新文献

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Solving fully fuzzy linear programming problems by controlling the variation range of variables 通过控制变量的变化范围来解决全模糊线性规划问题
IF 0.6
Bulletin of the Karaganda University-Mathematics Pub Date : 2021-09-30 DOI: 10.31489/2021m3/13-24
S. Davoodi, N. A. A. Rahman
{"title":"Solving fully fuzzy linear programming problems by controlling the variation range of variables","authors":"S. Davoodi, N. A. A. Rahman","doi":"10.31489/2021m3/13-24","DOIUrl":"https://doi.org/10.31489/2021m3/13-24","url":null,"abstract":"This paper deals with a fully fuzzy linear programming problem (FFLP) in which the coefficients of decision variables, the right-hand coefficients and variables are characterized by fuzzy numbers. A method of obtaining optimal fuzzy solutions is proposed by controlling the left and right sides of the fuzzy variables according to the fuzzy parameters. By using fuzzy controlled solutions, we avoid unexpected answers. Finally, two numerical examples are solved to demonstrate how the proposed model can provide a better optimal solution than that of other methods using several ranking functions.","PeriodicalId":29915,"journal":{"name":"Bulletin of the Karaganda University-Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47600526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cohomology of simple modules for sl3(k) in characteristic 3 特征3中sl3(k)的简单模的上同调
IF 0.6
Bulletin of the Karaganda University-Mathematics Pub Date : 2021-09-30 DOI: 10.31489/2021m3/36-43
A. Ibrayeva
{"title":"Cohomology of simple modules for sl3(k) in characteristic 3","authors":"A. Ibrayeva","doi":"10.31489/2021m3/36-43","DOIUrl":"https://doi.org/10.31489/2021m3/36-43","url":null,"abstract":"In this paper we calculate cohomology of a classical Lie algebra of type A2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules. To describe their structure we will consider them as modules over an algebraic group SL3(k). In the case of characteristic p = 3, there are only two peculiar simple modules: a simple that module isomorphic to the quotient module of the adjoint module by the center, and a one-dimensional trivial module. The results on the cohomology of simple nontrivial module are used for calculating the cohomology of the adjoint module. We also calculate cohomology of the simple quotient algebra Lie of A2 by the center.","PeriodicalId":29915,"journal":{"name":"Bulletin of the Karaganda University-Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44049822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A new finite difference method for computing approximate solutions of boundary value problems including transition conditions 计算含过渡条件边值问题近似解的一种新的有限差分方法
IF 0.6
Bulletin of the Karaganda University-Mathematics Pub Date : 2021-06-30 DOI: 10.31489/2021m2/54-61
S. Çavuşoğlu, O. Mukhtarov
{"title":"A new finite difference method for computing approximate solutions of boundary value problems including transition conditions","authors":"S. Çavuşoğlu, O. Mukhtarov","doi":"10.31489/2021m2/54-61","DOIUrl":"https://doi.org/10.31489/2021m2/54-61","url":null,"abstract":"This article is aimed at computing numerical solutions of new type of boundary value problems (BVPs) for two-linked ordinary differential equations. The problem studied here differs from the classical BVPs such that it contains additional conditions at the point of interaction, so-called transition conditions. Naturally, such type of problems is much more complicated to solve than classical problems. It is not clear how to apply the classical numerical methods to such type of boundary value transition problems (BVTPs). Based on the finite difference method (FDM) we have developed a new numerical algorithm for computing numerical solution of BVTPs for two-linked ordinary differential equations. To demonstrate the reliability and efficiency of the presented algorithm we obtained numerical solution of one BVTP and the results are compared with the corresponding exact solution. The maximum absolute errors (MAEs) are presented in a table.","PeriodicalId":29915,"journal":{"name":"Bulletin of the Karaganda University-Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45110013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On stability of the third order partial delay differential equation with involution and Dirichlet condition 关于一类具有对合和Dirichlet条件的三阶偏时滞微分方程的稳定性
IF 0.6
Bulletin of the Karaganda University-Mathematics Pub Date : 2021-06-30 DOI: 10.31489/2021m2/25-34
A. Ashyralyev, S. Ibrahim, E. Hıncal
{"title":"On stability of the third order partial delay differential equation with involution and Dirichlet condition","authors":"A. Ashyralyev, S. Ibrahim, E. Hıncal","doi":"10.31489/2021m2/25-34","DOIUrl":"https://doi.org/10.31489/2021m2/25-34","url":null,"abstract":"In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first order of accuracy absolute stable difference scheme for the solution of the differential problem is presented. Stability estimates for the solution of this difference scheme are proved. Numerical results are provided.","PeriodicalId":29915,"journal":{"name":"Bulletin of the Karaganda University-Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42789275","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Paracompact-type mappings Paracompact-type映射
IF 0.6
Bulletin of the Karaganda University-Mathematics Pub Date : 2021-06-30 DOI: 10.31489/2021m2/62-66
B. Kanetov, A. Baidzhuranova
{"title":"Paracompact-type mappings","authors":"B. Kanetov, A. Baidzhuranova","doi":"10.31489/2021m2/62-66","DOIUrl":"https://doi.org/10.31489/2021m2/62-66","url":null,"abstract":"Recently a new direction of uniform topology called the uniform topology of uniformly continuous mappings has begun to develop intensively. This direction is devoted, first of all, to the extension to uniformly continuous mappings of the basic concepts and statements concerning uniform spaces. In this case a uniform space is understood as the simplest uniformly continuous mapping of this uniform space into a one-point space. The investigations carried out have revealed large uniform analogs of continuous mappings and made it possible to transfer to uniformly continuous mappings many of the main statements of the uniform topology of spaces. The method of transferring results from spaces to mappings makes it possible to generalize many results. Therefore, the problem of extending some concepts and statements concerning uniform spaces to uniformly continuous mappings is urgent. In this article, we introduce and study uniformly R-paracompact, strongly uniformly R-paracompact, and uniformly R-superparacompact mappings. In particular, we solve the problem of preserving R-paracompact (respectively, strongly uniformly R-paracompact, uniformly R-superparacompact) spaces towards the preimage under uniformly R-paracompact (respectively, strongly uniformly R-paracompact, uniformly R-superparacompact) mappings.","PeriodicalId":29915,"journal":{"name":"Bulletin of the Karaganda University-Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43909671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modelling the effect of horizontal and vertical transmissions of HIV infection with efficient control strategies 用有效的控制策略模拟艾滋病毒感染的水平和垂直传播的影响
IF 0.6
Bulletin of the Karaganda University-Mathematics Pub Date : 2021-06-30 DOI: 10.31489/2021m2/106-114
U. T. Mustapha, T. Şanlıdağ, E. Hıncal, B. Kaymakamzade, S. M. Muhammad, N. Gokbulut
{"title":"Modelling the effect of horizontal and vertical transmissions of HIV infection with efficient control strategies","authors":"U. T. Mustapha, T. Şanlıdağ, E. Hıncal, B. Kaymakamzade, S. M. Muhammad, N. Gokbulut","doi":"10.31489/2021m2/106-114","DOIUrl":"https://doi.org/10.31489/2021m2/106-114","url":null,"abstract":"In this paper a mathematical model is developed to study the transmission dynamics of HIV infection and the effect of horizontal and vertical transmission in Turkey is analyzed. Model is fitted with the use of confirmed HIV cases of both vertical and horizontal transmission from 2011 to 2018. Using the next generation operator the basic reproduction number of the model is obtained, which shows whether the disease persists or dies out in time. Further analysis shows that the model is locally asymptotically stable when the basic reproduction number R0 < 1 and is unstable when R0 > 1. The most sensitive parameters efficient for the control of the infection are obtained using forward normalized sensitivity index. Lastly, the results are obtained with the aid of mesh and contour plots, which show that decreasing the values of transmission rate diseases induced mortality rates and progression rates play a significant role in controlling the spread of HIV transmission.","PeriodicalId":29915,"journal":{"name":"Bulletin of the Karaganda University-Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41883844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Lie symmetries of the boundary value problems for differential and difference sine-Gordon equations 微分与差分正弦-戈登方程边值问题的Lie对称性
IF 0.6
Bulletin of the Karaganda University-Mathematics Pub Date : 2021-06-30 DOI: 10.31489/2021m2/142-153
O. Yildirim, S. Caglak
{"title":"On the Lie symmetries of the boundary value problems for differential and difference sine-Gordon equations","authors":"O. Yildirim, S. Caglak","doi":"10.31489/2021m2/142-153","DOIUrl":"https://doi.org/10.31489/2021m2/142-153","url":null,"abstract":"In general, due to the nature of the Lie group theory, symmetry analysis is applied to single equations rather than boundary value problems. In this paper boundary value problems for the sine-Gordon equations under the group of Lie point symmetries are obtained in both differential and difference forms. The invariance conditions for the boundary value problems and their solutions are obtained. The invariant discretization of the difference problem corresponding to the boundary value problem for sine-Gordon equation is studied. In the differential case an unbounded domain is considered and in the difference case a lattice with points lying in the plane and stretching in all directions with no boundaries is considered.","PeriodicalId":29915,"journal":{"name":"Bulletin of the Karaganda University-Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47676806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Ternary semigroups of topological transformations 拓扑变换的三元半群
IF 0.6
Bulletin of the Karaganda University-Mathematics Pub Date : 2021-06-30 DOI: 10.31489/2021m2/84-91
F. Muradov
{"title":"Ternary semigroups of topological transformations","authors":"F. Muradov","doi":"10.31489/2021m2/84-91","DOIUrl":"https://doi.org/10.31489/2021m2/84-91","url":null,"abstract":"A ternary semigroup is a nonempty set with a ternary operation which is associative. The purpose of the present paper is to give a characterization of open sets of finite-dimensional Euclidean spaces by ternary semigroups of pairs of homeomorphic transformations and extend to ternary semigroups certain results of L.M. Gluskin concerned with semigroups of homeomorphic transformations of finite-dimensional Euclidean spaces.","PeriodicalId":29915,"journal":{"name":"Bulletin of the Karaganda University-Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45024262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the solvability of the tracking problem in the optimization of the thermal process by moving point controls 热过程移动点控制优化中跟踪问题的可解性
IF 0.6
Bulletin of the Karaganda University-Mathematics Pub Date : 2021-06-30 DOI: 10.31489/20212/67-73
A. Kerimbekov, A. Ermekbaeva, E. Seidakmat kyzy
{"title":"On the solvability of the tracking problem in the optimization of the thermal process by moving point controls","authors":"A. Kerimbekov, A. Ermekbaeva, E. Seidakmat kyzy","doi":"10.31489/20212/67-73","DOIUrl":"https://doi.org/10.31489/20212/67-73","url":null,"abstract":"In the present article we investigate problems of tracking in the moving point control of thermal processes described by Fredholm integro-differential equations in partial derivatives with the Fredholm integral operator, in the case when the functions of point sources are nonlinear with respect to the control function. It is found that optimal controls are defined as solutions to a system of linear integral equations, and an algorithm for constructing its solution is developed. Sufficient conditions for the unique solvability of the tracking problem are found and an algorithm for constructing a complete solution to the nonlinear optimization problem was indicated.","PeriodicalId":29915,"journal":{"name":"Bulletin of the Karaganda University-Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47258984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem 多点过定椭圆问题的四阶精度稳定差分格式
IF 0.6
Bulletin of the Karaganda University-Mathematics Pub Date : 2021-06-30 DOI: 10.31489/2021m2/45-53
C. Ashyralyyev, G. Akyuz, Tau
{"title":"On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem","authors":"C. Ashyralyyev, G. Akyuz, Tau","doi":"10.31489/2021m2/45-53","DOIUrl":"https://doi.org/10.31489/2021m2/45-53","url":null,"abstract":"In this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic overdetermined problem in a Hilbert space is proposed. The existence and uniqueness of the solution of the difference scheme are obtained by using the functional operator approach. Stability, almost coercive stability, and coercive stability estimates for the solution of difference scheme are established. These theoretical results can be applied to construct a stable highly accurate difference scheme for approximate solution of multi-point overdetermined boundary value problem for multidimensional elliptic partial differential equations.","PeriodicalId":29915,"journal":{"name":"Bulletin of the Karaganda University-Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41560004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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