Bifurcation type phenomena for positive solutions of a class of impulsive differential equations

Abstract

In this paper, we are concerned with the existence, nonexistence, and multiplicity of positive solutions for a impulsive periodic boundary value problem with positive parameter . Using the critical point theorem, we obtain a bifurcation type result about positive solutions; that is, there exists such that our problem has at least two positive solutions for all , one positive solution for , and no positive solution for under the appropriate conditions.