A. T. Assanova
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View article: CMMSE: Solving Impulsive Boundary Value Problem for Nonlinear Differential Equations With Parameter
CMMSE: Solving Impulsive Boundary Value Problem for Nonlinear Differential Equations With Parameter Open
This paper is devoted to the study of a two‐point impulsive boundary value problem for a system of nonlinear first‐order ordinary differential equations involving an unknown parameter appearing in both the differential equation and the bou…
View article: To the problem for the impulsive system of differential equations with generalized piecewise-constant argument
To the problem for the impulsive system of differential equations with generalized piecewise-constant argument Open
This paper investigates a boundary value problem for a system of impulsive differential equations involving a generalized piecewise-constant argument. To address the problem, we employ the Dzhumabaev parametrization method, reducing the bo…
View article: Asymptotic estimates of the solution for a singularly perturbed Cauchy problem
Asymptotic estimates of the solution for a singularly perturbed Cauchy problem Open
The article focuses on the initial problem for a third-order linear integro-differential equation with a small parameter at the higher derivatives, assuming that the roots of the additional characteristic equation have opposite signs. This…
View article: Numerical-analytical method for solving initial-boundary value problem for loaded parabolic equation
Numerical-analytical method for solving initial-boundary value problem for loaded parabolic equation Open
An initial-boundary value problem for a loaded parabolic equation in a rectangular domain was considered. By discretization with respect to a spatial variable, the problem under study is reduced to the initial problem for a system of loade…
View article: METHOD OF LINES FOR A LOADED PARABOLIC EQUATION
METHOD OF LINES FOR A LOADED PARABOLIC EQUATION Open
In a closed domain, a two-point boundary value problem for loaded parabolic equations isconsidered. The method of lines with respect to the variable x is used to solve this problem. Asa result of this approach, a discretized problem is for…
View article: Solution to the periodic problem for the impulsive hyperbolic equation with discrete memory
Solution to the periodic problem for the impulsive hyperbolic equation with discrete memory Open
In this article, we consider the periodic problem for the impulsive hyperbolic equation with discrete memory. Impulsive hyperbolic equations with discrete memory arise as a mathematical model for describing physical processes in the neural…
View article: ON A BOUNDARY VALUE PROBLEM FOR HIGH-ORDER HYPERBOLIC EQUATION WITH IMPULSE DISCRETE MEMORY
ON A BOUNDARY VALUE PROBLEM FOR HIGH-ORDER HYPERBOLIC EQUATION WITH IMPULSE DISCRETE MEMORY Open
The investigation focuses on a boundary value problem for a high-order hyperbolic equation with impulse discrete memory in a rectangular domain. By introducing new functions, the problem is transformed into a set of boundary value problems…
View article: Solution of the boundary value problem for differential equation with piecewise-constant argument of generalized type
Solution of the boundary value problem for differential equation with piecewise-constant argument of generalized type Open
We examine a boundary value problem for a differential equation with piecewise-constant argument of generalized type. An interval [0,T] is divided into N parts, the values of a solution at the interior points of the subintervals are treate…
View article: Two-point boundary-value problems for differential equations with generalized piecewise-constant argument
Two-point boundary-value problems for differential equations with generalized piecewise-constant argument Open
UDC 517.9 We consider a two-point boundary-value problem for a system of differential equations with generalized piecewise-constant argument. To solve the problem, we propose to use a constructive method based on the Dzhumabaev parametriza…
View article: Problem for differential-algebraic equations with a significant loads
Problem for differential-algebraic equations with a significant loads Open
In this article, the problem for a differential-algebraic equation with a significant loads is studied. Unlike previously studied problems for differential equations with a significant loads, in the considered equation, there is a matrix i…
View article: A nonlocal problem with multipoint conditions for partial differential equations of higher order
A nonlocal problem with multipoint conditions for partial differential equations of higher order Open
A nonlocal problem with multipoint conditions for the partial differential equations of higher order is considered. Algorithms for finding a solution to the nonlocal problem with multipoint conditions are constructed and their convergence …
View article: Solving multi-point problem for Volterra-Fredholm integro-differential equations using Dzhumabaev parameterization method
Solving multi-point problem for Volterra-Fredholm integro-differential equations using Dzhumabaev parameterization method Open
In this study, a multipoint boundary value problem for Volterra-Fredholm integro-differential equations is considered. The addition of a new function converts the system of Volterra-Fredholm integro-differential equations to a system of Fr…
View article: On a non-local problem for system of partial differential equations of hyperbolic type in a specific domain
On a non-local problem for system of partial differential equations of hyperbolic type in a specific domain Open
The non-local problem for second order system of partial differential equations of hyperbolic type is studied in the specific domain. For solving this problem we use a functional parametrization method. This method is an extension of Dzhum…
View article: INVESTMENTS IN HUMAN CAPITAL AND COMPANY’S FINANCIAL STABILITY: IS THERE ANY RELATION?
INVESTMENTS IN HUMAN CAPITAL AND COMPANY’S FINANCIAL STABILITY: IS THERE ANY RELATION? Open
The purpose of the research is to identify the impact of the investments in human capital on the general financial conditions of the largest private companies of the Republic of Kazakhstan, as well as to develop recommendations for compani…
View article: Novel approach for solving multipoint boundary value problem for integro-differential equation
Novel approach for solving multipoint boundary value problem for integro-differential equation Open
In the present paper, we study a multipoint boundary value problem for a system of Fredholm integro-differenial equations by the method of parameterization. The case of a degenerate kernel is studied separately, for which we obtain well-po…
View article: On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients
On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients Open
We study a two-point boundary value problem for a linear differen\-tial-algebraic equation with constant coefficients by using the method of parameterization. The parameter is set as the value of the continuously differentiable component o…
View article: A problem with impulse actions for nonlinear ODEs
A problem with impulse actions for nonlinear ODEs Open
In the paper, we consider problem with impulse actions for system of nonlinear ordinary differential equations (ODEs) in the interval. For solving this problem we use a modification of parameterization method by Dulat Dzhumabaev. In the …
View article: A new computational approach for solving a boundary-value problem for DEPCAG
A new computational approach for solving a boundary-value problem for DEPCAG Open
In this paper, a new computational approach is presented to solve a boundary-value problem for a differential equation with piecewise constant argument of generalized type (DEPCAG). The presented technique is based on the Dzhumabaev parame…
View article: A solution to a linear boundary value problem for an impulsive integro-differential equation
A solution to a linear boundary value problem for an impulsive integro-differential equation Open
This study deals with a boundary-value problem for a linear Fred-holm integro-differential equation subject to impulse effects at fixed time points. Solvability criteria are provided in terms of input data, without the use of a fundamental…
View article: A generalized integral problem for a system of hyperbolic equations and its applications
A generalized integral problem for a system of hyperbolic equations and its applications Open
A nonlocal boundary value problem for a system of hyperbolic equations of second order with generalized integral condition is considered. By method of introduction of functional parameters the investigated problem is transformed to the inv…
View article: On solvability of boundary value problem for a nonlinear Fredholm integro-differential equation
On solvability of boundary value problem for a nonlinear Fredholm integro-differential equation Open
The paper proposes a constructive method to solve a nonlinear boundary value problem for a Fredholm integro-differential equation. Using D.S. Dzhumabaev parametrization method, the problem under consideration is transformed into an equival…
View article: Averaging method and two-sided bounded solutions on the axis of systems with impulsive effects at non-fixed times
Averaging method and two-sided bounded solutions on the axis of systems with impulsive effects at non-fixed times Open
The averaging method, originally offered by Krylov and Bogolyubov for ordinary differential equations, is one of the most widespread and effective methods for the analysis of nonlinear dynamical systems. Further, the averaging method was d…
View article: Problem with data on the characteristics for a loaded system of hyperbolic equations
Problem with data on the characteristics for a loaded system of hyperbolic equations Open
We consider a problem with data on the characteristics for a loaded system of hyperbolic equations of the second order on a rectangular domain. The questions of the existence and uniqueness of the classical solution of the considered probl…
View article: THE PARAMETER IDENTIFICATION PROBLEM FOR SYSTEM OF DIFFERENTIAL EQUATIONS
THE PARAMETER IDENTIFICATION PROBLEM FOR SYSTEM OF DIFFERENTIAL EQUATIONS Open
In this paper, the parameter identification problem for system of ordinary differential equations is considered. The parameter identification problem for system of ordinary differential equations is investigated by the Dzhumabaev’s paramet…