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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, 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 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, An Algorithm for Solving Boundary Value Problems for Delay Differential Equations with Loadings(Pleiades Publishing, 2024-10-01); ; Abstract In this paper, we propose an efficient numerical algorithm for solving linear two-point boundary value problem for delay differential equations with loadings. The Dzhumabaev parametrization method is applied to construct the numerical solutions. The application of the this method leads the considering problem to a system of algebraic equations and Cauchy problems for differential equation without delay argument that are easy to solve. Several illustrative examples are given to demonstrate the effectiveness of the proposed algorithm.Цитирования (OpenAlex) 8Цитирования (OpenCitations) 4