On a New Class of Singular Integro-differential Equations

Yuldashev, T.K.; Zarifzoda, S.K. (KU Publ., 2021-03-30)

In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions. Such ...
On Boundary Value Problems for a Mixed Type Fractional Differential Equation with Caputo Operator

Yuldashev, T.K.; Islomov, B.I.; Ubaydullaev, U.Sh. (KU Publ., 2021-03-30)

This article is devoted to study the boundary value problems of the first and second kind with respect to the spatial variable for a mixed inhomogeneous differential equation of parabolic-hyperbolic type with a fractional ...
An essential base of the central types of the convex theory

Yeshkeyev, A.R.; Omarova, M.T. (KU Publ., 2021-03-30)

In this paper, we consider the model-theoretical properties of the essential base of the central types of convex theory. Also shows the connection between the center and Jonsson theory in permissible enrichment signatures. ...
An algebra of the central types of the mutually model-consistent fragments

Yeshkeyev, A.R.; Mussina, N.M. (KU Publ., 2021-03-30)

In this paper, the model-theoretical properties of the algebra of central types of mutually model-consistent fragments are considered. Also, the connections between the center and the Jonsson theory in the permissible signature ...
The solvability conditions for the second order nonlinear differential equation with unbounded coefficients in L2(R)

Yesbayev, A.N.; Ospanov, M.N. (KU Publ., 2021-03-30)

The article deals with the existence of a generalized solution for the second order nonlinear differential equation in an unbounded domain. Intermediate and lower coefficients of the equation depends on the required ...
On construction of a field of forces along given trajectories in the presence of random perturbations

Tleubergenov, M.I.; Vassilina, G.K.; Tuzelbaeva, G.A. (KU Publ., 2021-03-30)

In this paper, a force field is constructed along a given integral manifold in the presence of random perturbing forces. In this case, two types of integral manifolds are considered separately: 1) trajectories that ...
On the existence of the resolvent and separability of a class of the Korteweg-de Vriese type linear singular operators

Muratbekov, Ì.B.; Suleimbekova, A.O. (KU Publ., 2021-03-30)

Partial differential equations of the third order are the basis of mathematical models of many phenomena and processes, such as the phenomenon of energy transfer of hydrolysis of adenosine triphosphate molecules along ...
Technology for restoring functional dependencies to determine reliability parameters

Kvasnikov, V.P.; Yehorov, S.V.; Shkvarnytska, T.Yu. (KU Publ., 2021-03-30)

The problem of determining the properties of the object by analyzing the numerical and qualitative characteristics of a discrete sample is considered. A method has been developed to determine the probability of trouble-free ...
To solving the fractionally loaded heat equation

Kosmakova, M.T.; Iskakov, S.A.; Kasymova, L.Zh. (KSU Publ., 2021-03-30)

In this paper we consider a boundary value problem for a fractionally loaded heat equation in the class of continuous functions. Research methods are based on an approach to the study of boundary value problems, based ...
Approximate Solution of Volterra Integro-Fractional Differential Equations Using Quadratic Spline Function

Jwamer, K.H.F.; Ahmed, Sh.Sh.; Abdullah, D.Kh. (KU Publ., 2021-03-30)

In this paper, we suggest two new methods for approximating the solution to the Volterra integro-fractional differential equation (VIFDEs), based on the normal quadratic spline function and the second method used the ...
To the solution of the Solonnikov-Fasano problem with boundary moving on arbitrary law x = γ(t):

Jenaliyev, M.T.; Ramazanov, M.I.; Tanin, A.O. (KU Publ., 2021-03-30)

In this paper we study the solvability of the boundary value problem for the heat equation in a domain that degenerates into a point at the initial moment of time. In this case, the boundary changing with time moves ...
On Problem of Internal Boundary Control for String Vibration Equation

Attaev, A.Kh. (KU Publ., 2021-03-30)

The article deals with the vibration control problem described by one dimensional wave equation with integral type boundary condition. As usual, the initial and final moments of time for arbitrary displacements and ...
Predicting the optimal solution in fuzzy linear programming problem

Davoodi, S.M.; Abdul Rahman, N.A. (KU Publ., 2021-03-30)

In this paper we try to define a percentage form of LR fuzzy numbers which is a useful form of fuzzy numbers and its’ arithmetics. So, we show how the maximum variation range of optimal value of fuzzy objective function ...
On the boundedness of the fractional maximal operator on global Orlicz-Morrey spaces

Bokayev, N.À.; Khairkulova, À.À. (KU Publ., 2021-03-30)

The article deals with the global Orlia-Morrey spaces GM ;'; (Rn). We find sufficient conditions on pairs of functions ('; ) and ( ; ), which ensure the boundedness of the fractional maximal operator M from GM ;'; ...
Well-posedness results for the wave equation generated by the Bessel operator

Bekbolat, B.; Tokmagambetov, N. (KU Publ., 2021-03-30)

In this paper, we consider the non-homogeneous wave equation generated by the Bessel operator. We prove the existence and uniqueness of the solution of the non-homogeneous wave equation generated by the Bessel operator. ...

№ 1(101)/2021-Математика

№ 1(101)/2021-Математика

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