Қазақ ұлттық қыздар педагогикалық университеті / Казахский национальный женский педагогический университет
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- Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Method for solving the periodic problem for an impulsive system of hyperbolic integro-differential equationsThe periodic problem for a system of integro-differential equations of hyperbolic type with impulse effects is considered. This problem is reduced to an equivalent problem, consisting of a family of periodic boundary value problems for system of ordinary differential equations with parameter and impulse effects and integral relations by method of introducing additional functions. Sufficient conditions for existence of unique solution to the family of periodic boundary value problem with the impulse effects for system of the ordinary differential equations are received by parametrization method. Conditions for the unique solvability of periodic problem for system of integro - differential equations of hyperbolic type with impulse effects are established in the term of initial data.Цитирования (OpenAlex) 2Цитирования (OpenCitations) 2 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, NUMERICAL SOLUTION OF A BOUNDARY VALUE PROBLEM WITH A PARAMETER FOR IMPULSIVE LOADED DIFFERENTIAL EQUATIONS(2024-07-01); ; The boundary value problem depending on the parameter for the system of impulsive loaded differential equations is considered. Algorithms of numerical realization of the Dzhumabaev parameterization method are developed for numerical solving of the studied boundary value problem depending on the parameter. Algorithms of numerical realization of the Dzhumabaev parameterization method are based on the solving of Cauchy problems for the system of ordinary differential equations. As a result of application of the proposed method, finding a solution to the boundary value problem depending on the parameter for impulsive loaded differential equations leads to finding a solution to the system of algebraic equations. This system of algebraic equations consists of a boundary condition and equalities with respect to the conditions at the impulsive points. Numerical results showing the high efficiency of the numerical implementation of the Dzhumabaev parameterization method are given. The result demonstrate that there is congruence between the numerical and the exact results to a high order of accuracy. - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Numerical Solution of Second‐Order Impulsive Differential Equations With Loadings Subject to Integral Boundary ConditionsABSTRACT In this paper, we present a computational method for solving the second‐order impulsive differential equations with loadings subject to integral boundary conditions based on the Dzhumabaev parametrization method. The idea of this method involves introducing additional parameters, reducing the original problem to solving a system of linear algebraic equations. The system's coefficients and right‐hand side are determined by solving Cauchy problems for ODEs and by calculating definite integrals. Four examples are provided to show the effectiveness and feasibility of the main results.Цитирования (OpenAlex) 9Цитирования (OpenCitations) 6 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Application of the Parameterization Method to Nonlinear Boundary Value Problem With a Nonfixed Moment of Impulsive ActionABSTRACT This paper investigates a nonlinear boundary value problem for a system of linear differential equations with a nonfixed moment of impulsive action. To address this problem, we apply the Dzhumabaev parameterization method, which is adapted to account for the nonlinearity of the boundary conditions and the presence of an unknown impulsive moment. These features required modifications of the classical schemes of the method, leading to the development of new algorithms that incorporate the non‐fixed impulsive action. The main contribution of this work is the extension of the applicability of the parameterization method and the derivation of solvability conditions for the problem under consideration. To illustrate the theoretical results, an example is presented.Цитирования (OpenAlex) 1Цитирования (OpenCitations) 1