Existence Criteria for Second-Order Differential Equations with Integral Boundary Conditions

Abstract

Recently, numerous studies have been addressing boundary value problems for differential equations with nonlocal boundary conditions [4] and [19]. Boundary value problems for ordinary differential equations with integral boundary conditions constitute an important and fascinating class of problems. The aim of this study is to investigate the existence of positive solutions for boundary value problems of second order with integral boundary conditions. Integral boundary conditions of the studied problem consist of two nonnegative, continuous functions on R2 . Existence results of positive solutions are established by using fixed point theory.