Abstract:
We will present the existence and uniqueness of a non-negative solution of non- linear integral equations of the type u(x) — f^K(x,y) F(y,u(y)} dy, where O is a closed and bounded domain in JJ^, K(., .) is non-negative and satisfies some integral inequalities and F(x, u(x)} is a-concave in the variable u. As an application, the existence of a unique positive solution of boundary value problem for a uniformly elliptic differential equation with the forcing function F(x^u(x)) is given
