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Mathematical Methods in the Applied Sciences
ISSN
0170-4214
1099-1476
Издатель
Wiley
2 результаты
Показано: 1 - 2 из 2
- Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, CMMSE: Solving Impulsive Boundary Value Problem for Nonlinear Differential Equations With ParameterABSTRACT 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 boundary condition. The main objective is to establish sufficient conditions for the existence of an isolated solution within some set. To achieve this, we apply the Dzhumabaev parametrization method. Based on this approach, we develop a constructive algorithm for finding the solution. The method effectively addresses the discontinuities introduced by the impulses and ensures solvability under clearly defined conditions. A numerical example is presented to illustrate the efficiency and practical applicability of the proposed algorithm. The results demonstrate the method's potential for solving a wide range of nonlinear impulsive boundary value problems with parameters.Цитирования (OpenAlex) 1 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, CMMSE: Numerical Method for Solving Problem for Delay Integro‐Differential EquationABSTRACT The object of interests of this paper is the two‐point linear boundary value problem for a delay Fredholm integro–differential equation. To solve this problem numerically, a Dzhumabaev parameterization method is presented, which is based on the dividing the given interval into subintervals and introducing additional parameters, which enables to transform the given problem into a respective system of algebraic equations. Numerical illustrations confirm our theoretical analysis.