Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions
Mısır J. MardanovInstitute of Mathematics and Mechanics, ANAS, AZ1141 Baku, AzerbaijanYagub A. SharifovDepartment of Mathematical Methods of Applied Analysis, Baku State University, AZ1148 Baku, AzerbaijanYusif S. GasimovDepartment of Mathematics and Informatics, Azerbaijan University, AZ1007 Baku, AzerbaijanCarlo CattaniDepartment of Mathematics and Informatics, Azerbaijan University, AZ1007 Baku, Azerbaijan
2021en
ABI
Аннотация
This paper considers boundary value problem (BVP) for nonlinear first-order differential problems with multipoint and integral boundary conditions. A suitable Green function was constructed for the first time in order to reduce this problem into a corresponding integral equation. So that by using the Banach contraction mapping principle (BCMP) and Schaefer’s fixed point theorem (SFPT) on the integral equation, we can show that the solution of the multipoint problem exists and it is unique.
Перевод пока недоступен
Идентификаторы
Цитирования и источники
Цитирований: 2Использованных источников: 0