Multiple positive solutions for nonlinear first-order periodic impulsive boundary-value systems with sign changing nonlinearities

Abstract

In this paper, we establish the existence of positive solutions to a periodic boundary problem associated with a first-order system under impulses effect and when the nonlinearities change sign. Our approach is based on the Krasnoselskii theorem in double cones. We generalize some recent results.MSC: 34B18, 34B37