Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces

Abstract

Abstract By obtaining intervals of the parameter λ, this article investigates the existence of a positive solution for a class of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in abstract spaces. The arguments are based upon a specially constructed cone and the fixed point theory in cone for a strict set contraction operator. MSC: 34B15; 34B16.

Keywords

• boundary value problem
• positive solution
• fixed point theorem
• measure of noncompactness