Periodic solutions of sublinear impulsive differential equations

2017/05/24 by Yanmin Niu, Xiong Li, Niu, Yanmin +1
Mathematics · #Nonlinear Differential Equations Analysis #Differential Equations and Numerical Methods #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.1705.08776

Abstract

In this paper, we consider sublinear second order differential equations with impulsive effects. Basing on the Poincaré-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 (\citeQian15).

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