Multiple positive solutions for boundary value problems of impulsive functional differential equations with p-Laplacian

Abstract

In this paper, we consider the existence of at least two positive solutions for the boundary value problem of impulsive functional differential equation with $p$-Laplacian. By using a twin fixed-point theorem in a cone introduced by Avery et al, we provide sufficient conditions for the existence of at least two positive solutions for the above boundary value problem. The conclusions in this paper essentially extend and improve the known results.