Existence of Positive Solution for Boundary Value Problems

Abstract

I am studying the boundary value problem :-

0 (b)y (a)y bta , f(y) g(t) λy  

Values of the parameter (  ) are determined for which this problem has a positive solution .The methods used here extend recent works by a simple application of a Fixed Point Theorem in cones . I show the existence of at least one positive solution of this boundary value problem.