Open Access
April, 2018 Periodic Solutions of Sublinear Impulsive Differential Equations
Yanmin Niu, Xiong Li
Taiwanese J. Math. 22(2): 439-452 (April, 2018). DOI: 10.11650/tjm/8190

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 [18].

Citation

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Yanmin Niu. Xiong Li. "Periodic Solutions of Sublinear Impulsive Differential Equations." Taiwanese J. Math. 22 (2) 439 - 452, April, 2018. https://doi.org/10.11650/tjm/8190

Information

Received: 2 July 2017; Accepted: 16 July 2017; Published: April, 2018
First available in Project Euclid: 8 September 2017

zbMATH: 06965380
MathSciNet: MR3780727
Digital Object Identifier: 10.11650/tjm/8190

Subjects:
Primary: 34A37 , 34C25

Keywords: fixed point Theorem , impulsive differential equations , periodic solutions

Rights: Copyright © 2018 The Mathematical Society of the Republic of China

Vol.22 • No. 2 • April, 2018
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