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Mathematical Methods in the Applied Sciences

ISSN
0170-4214
1099-1476
Издатель
Wiley
Ключевые слова

Nonlinear Differentia...

Differential Equation...

Nonlinear Partial Dif...

Fractional Differenti...

Advanced Mathematical...

Фильтры

20251

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    Тип записи:Публикация,
    CMMSE: Solving Impulsive Boundary Value Problem for Nonlinear Differential Equations With Parameter
    (Wiley, 2025-10-23)
    Svetlana Temesheva
    ;
    A. T. Assanova
    ;
    Zh. М. Каdirbayeva
    ABSTRACT 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