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Lobachevskii Journal of Mathematics
ISSN
1818-9962
1995-0802
Издатель
Pleiades Publishing
2 результаты
Показано: 1 - 2 из 2
- Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, A Computational Method for Solving a Boundary-Value Problem for Differential Equations with Piecewise Constant Argument of Generalized TypeAbstract In this article, a two-point boundary-value problem for a differential equation with piecewise constant argument of generalized type is solved. We develop a numerical algorithm that is based on the parametrization method proposed by Dzhumabaev. The proposed algorithm is expanded to find a numerical solution to the boundary-value problem for differential equations with piecewise constant argument of generalized type. The results are illustrated by numerical example.Цитирования (OpenAlex) 9Цитирования (OpenCitations) 6 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Solution to an Identification Parameter Problem for System of Nonlinear Differential EquationsAbstract The inverse problem with identification parameter for system of ordinary differential equations is considered. Definition of the isolated solution for the inverse problem with identification parameter to nonlinear system of ordinary differential equations is introduced. For finding of the isolated solution to problem is used the parametrization method. The method consists in partitioning of the considered interval, introducing of parameters and reducing the original problem to the equivalent multi-point identification parameter problem. The algorithms for finding an approximate solution to the equivalent problem are offered. Each step of the algorithm consists of two stages: a) solving of the nonlinear system of equations with respect to the parameters, composed by the initial data of the problem, and b) solving the Cauchy problems on corresponding intervals at the founded parameters values. The conditions for convergence of the algorithms that ensure the solvability of the inverse problem with identification parameter are established. The necessary and sufficient conditions for the existence of the isolated solution to the inverse problem with identification parameter are obtained in the terms of the right-hand side of the system of differential equations and the boundary conditions.Цитирования (OpenAlex) 1