Positive solutions to superlinear attractive singular impulsive differential equation

Qiuyue Li, Yaoming Zhou, Fuzhong Cong and Hu Liu

Applied Mathematics and Computation, 2018, vol. 338, issue C, 822-827

Abstract: 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.

Keywords: Impulsive differential equation; Superlinear; Attractive singular; Alternative principle; Fixed point theorem (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:338:y:2018:i:c:p:822-827

DOI: 10.1016/j.amc.2018.07.003

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