Positive solutions to superlinear attractive singular impulsive differential equation

摘要

In this paper, we study positive periodic solutions to impulsive differential equation with the attractive singular perturbation. The existence theorem is proved using the Leray Schauder alternative principle and the fixed point theorem. The perturbation term in the equation we are mainly interested in is that it has not only an attractive singularity but also the superlinearity. (C) 2018 Elsevier Inc. All rights reserved.