Multiple positive solutions for p-Laplacian equations with integral boundary conditions

Abstract

In this paper, we consider a class of boundary value problems for p-Laplacian equation (Φp(u′))′+h(t)f(t,u(t),u′(t))=0 with integral boundary conditions u(0)−αu′(0)=∫01g1(s)u(s)ds,u(1)+βu′(1)=∫01g2(s)u(s)ds. By using the Avery–Peterson fixed point theorem, we obtain the existence of at least three positive solutions.