Periodic solutions of sublinear impulsive differential equations
Classical Analysis and ODEs
2017-05-25 v1
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}).
Cite
@article{arxiv.1705.08776,
title = {Periodic solutions of sublinear impulsive differential equations},
author = {Yanmin Niu and Xiong Li},
journal= {arXiv preprint arXiv:1705.08776},
year = {2017}
}