الفهرس | Only 14 pages are availabe for public view |
Abstract In thesis we are concerned with the existence and uniqueness of solution of two nonlocal boundary value problems of a coupled system of integro - differential equations of Urysohn, Volterra and Fredholm types. To prove the existence of a unique solution we used the Banach fixed point theorem [see(17)]. The first chapter : we collect some concepts, definitions and some auxiliary facts explored in the thesis. The second chapter : consists of two parts, the first part deals with the existences of a unique solution in C [0, 1] or L1 [0, 1] for the integro - differential equation of Urysohn type with nonlocal boundary condition. The second part deals with the existence of a unique solution in C [0, 1] or L1 [0, 1] for the integro - differential equation of Volterra- Urysohn type with the nonlocal boundary condition. The Third chapter : consists of two parts, the first part deals with the existences of a unique solution in C [0, 1] or L1 [0, 1] for the coupled system of integro -differential equations of Fredholm type with the nonlocal boundary conditions. The second part deals with the existence of a unique solution in C [0, 1] or L1 [0, 1] for the coupled system of integro- differential equations of Voltrra type with the nonlocal boundary conditions. |