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arXiv · 1705.08776

Periodic solutions of sublinear impulsive differential equations

Abstract

In this paper, we consider sublinear second order differential equations with impulsive effects. Basing on the Poincar\'{e}-Bohl fixed point theorem, we first will prove the existence of harmonic solutions. The existence of subharmonic solutions is also obtained by a new twist fixed point theorem recently established by Qian etc in 2015 (\cite{Qian15}).

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BibTeXRIS

Yanmin Niu, Xiong Li. 2017-05-24. Periodic solutions of sublinear impulsive differential equations. https://arxiv.org/abs/1705.08776

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