On a Nonlocal Problem for Nonlinear Impulse Systems of Second-Order Differential Equations with Nonlinea Boundary Conditions
Abduvahobov T.A. Tankeyeva A.K. Yuldashev T.K.
November 2024Pleiades Publishing
Lobachevskii Journal of Mathematics
2024#45Issue 115750 - 5763 pp.
Abstract: A nonlocal two-point boundary value problem for impulsive systems of second-order ordinary differential equations with nonlinear conditions, including derivatives of an unknown vector function, is studied. The system of differential equations contains the product of two nonlinear vector functions, for each of them the Lipschitz condition is satisfied. The existence, uniqueness and continuous dependence of the solution from given functions are proved. The problem reduces to a system of nonlinear functional integral equations in a Banach space. The method of successive approximations in combination with the method of contraction mappings is used to prove the existence and uniqueness of solution to nonlinear systems of functional integral equations.
continuous dependence of the solution from given functions , existence and uniqueness of a solution , nonlinear boundary conditions , nonlocal problem , product of two nonlinear functions , second-order impulse system
Text of the article Перейти на текст статьи
Tashkent State University of Economics, Tashkent, 100066, Uzbekistan
Zhubanov Aktobe Regional University, Aktobe, Kazakhstan
Tashkent State University of Transport, Tashkent, 100066, Uzbekistan
Tashkent State University of Economics
Zhubanov Aktobe Regional University
Tashkent State University of Transport
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026