• Existentially prime Jonsson quasivarieties and their Jonsson spectra 

  Yeshkeyev, A.R.; Tungushbayeva, I.O.; Amanbekov, S.M. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  This article is devoted to the study of Jonsson quasivarieties in a signature enriched with new predicate and constant symbols. New concepts of semantic Jonsson quasivariety and fragment-conservativeness of the center of ...
• On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative 

  Kosmakova, M.T.; Izhanova, K.A.; Khamzeyeva, A.N. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  The paper deals with the second boundary value problem for the loaded heat equation in the first quadrant. The loaded term contains a fractional derivative in the Caputo sense of an order ; 2 < < 3. The boundary value ...
• On the approximation of solutions of one singular differential equation on the axis 

  Kassym, A.S.; Kussainova, L.K. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  In this paper we study the problem of the best approximation by linear methods of solutions to one Triebel-type equation. This problem was solved by using estimates of the linear widths of the unit ball in corresponding ...
• Analytical and numerical research based on one modified refined bending theory 

  Kasimov, A.T.; Yessenbayeva, G.A.; Kasimov, B.A.; Yessenbayeva, G.A.; Khabidolda, O. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  In the article, an analytical and numerical study based on one modified refined bending theory is presented. By the finite difference method, a general numerical calculation algorithm is developed. The solution obtained ...
• Systems of integral equations with a degenerate kernel and an algorithm for their solution using the Maple program 

  Kalimbetov, B.T.; Safonov, V.F.; Tuychiev, O.D. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  In the mathematical literature, a scalar integral equation with a degenerate kernel is well described (see below (1)), where all the written functions are scalar quantities). The authors are not aware of publications where ...
• Inverse coefficient problem for differential equation in partial derivatives of a fourth order in time with integral over-determination 

  Huntul, M.J.; Tekin, I. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  Derivatives in time of higher order (more than two) arise in various fields such as acoustics, medical ultrasound, viscoelasticity and thermoelasticity. The inverse problems for higher order derivatives in time equations ...
• On bounded solutions of linear systems of differential equations with unbounded coefficients 

  Uteshova, R.Ye.; Kokotova, Ye.V. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  This paper deals with a problem of finding a bounded solution of a system of nonhomogeneous linear differential equations with an unbounded matrix of coefficients on a finite interval. The right-hand side of the equation ...
• On the Correctness of Boundary Value Problems for the Two-Dimensional Loaded Parabolic Equation 

  Attaev, A.K.; Ramazanov, M.I.; Omarov, M.T. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  The paper studies the problems of the correctness of setting boundary value problems for a loaded parabolic equation. The a feature of the problems is that the order of the derivative in the loaded term is less than or ...
• Asymptotic estimations of the solution for a singularly perturbed equation with unlimited boundary conditions 

  Atakhan, N.; Nurpeisov, K.S.; Konisbayeva, K.T. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  The paper studies a two-point boundary value problem with unlimited boundary conditions for a linear singularly perturbed differential equation. Asymptotic estimates are given for a linearly independent system of solutions ...
• On the convergence of difference schemes of high accuracy for the equation of ion-acoustic waves in a magnetized plasma 

  Aripov, M.M.; Utebaev, D.; Nurullaev, Zh.A. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  Multiparametric difference schemes of the finite element method of a high order of accuracy for the Sobolevtype equation of the fourth-order in time are studied. In particular, the first boundary value problem for the ...
• The theorems about traces and extensions for functions from Nikolsky-Besov spaces with generalized mixed smoothness 

  Bekmaganbetov, K.A.; Kervenev, K.Ye.; Toleugazy, Ye. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  The theory of embedding of spaces of differentiable functions studies important relations of differential (smoothness) properties of functions in various metrics and has wide application in the theory of boundary value ...
• Forcing companions of Jonsson AP-theories 

  Yeshkeyev, A.R.; Tungushbayeva, I.O.; Omarova, M.T. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  This article is devoted to the study of the forcing companions of the Jonsson AP-theories in the enriched signature. It is proved that the forcing companion of the theory does not change when expanding the theories under ...
• Construction of stochastic differential equations of motion in canonical variables 

  Tleubergenov, M.I.; Vassilina, G.K.; Seisenbayeva, S.R. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  Galiullin proposed a classification of inverse problems of dynamics for the class of ordinary differential equations (ODE). Considered problem belongs to the first type of inverse problems of dynamics (of the three main ...
• Well-posedness of the initial-boundary value problems for the time-fractional degenerate diffusion equations 

  Smadiyeva, A.G. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  This paper deals with the solving of initial-boundary value problems for the one-dimensional linear timefractional diffusion equations with time-degenerate diffusive coefficients t with > 1 􀀀 . The solutions to ...
• The Bessel equation on the quantum calculus 

  Shaimardan, S.; Tokmagambetov, N.S.; Aikyn, Y. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  A large number of the most diverse problems related to almost all the most important branches of mathematical physics and designed to answer topical technical questions are associated with the use of Bessel functions. ...
• Existence and smoothness of solutions of a singular differential equation of hyperbolic type 

  Muratbekov, M.B.; Bayandiyev, Ye.N. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  This paper investigates the question of the existence of solutions to the semiperiodic Dirichlet problem for a class of singular differential equations of hyperbolic type. The problem of smoothness of solutions is ...
• A different look at the soft topological polygroups 

  Mousarezaei, R.; Davvaz, B. (2022)

  Soft topological polygroups are defined in two different ways. First, it is defined as a usual topology. In the usual topology, there are five equivalent definitions for continuity, but not all of them are necessarily ...
• Two theorems on estimates for solutions of one class of nonlinear equations in a finite-dimensional space 

  Koshanov, B.D.; Kakharman, N.; Segizbayeva, R.U.; Sultangaziyeva, Zh.B. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  The need to study boundary value problems for elliptic parabolic equations is dictated by numerous practical applications in the theoretical study of the processes of hydrodynamics, electrostatics, mechanics, heat conduction, ...
• A priori estimate of the solution of the Cauchy problem in the Sobolev classes for discontinuous coefficients of degenerate heat equations 

  Koilyshov, U.K.; Beisenbaeva, K.A.; Zhapparova, S.D. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  Partial differential equations of the parabolic type with discontinuous coefficients and the heat equation degenerating in time, each separately, have been well studied by many authors. Conjugation problems for time-degenerate ...
• Estimates of singular numbers (s-numbers) for a class of degenerate elliptic operators 

  Igisinov, S.Zh.; Zhumaliyeva, L.D.; Suleimbekova, A.O.; Bayandiyev, ye.N. (Karagandy University of the name of acad. E.A. Buketov, 2022)

  In this paper we study a class of degenerate elliptic equations with an arbitrary power degeneracy on the line. Based on the research carried out in the course of the work, the authors propose methods to overcome various ...

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