Necessary and sufficient conditions for the existence of periodic solution to singular problems with impulses

In this article we give a necessary sufficient conditions for the existence of periodic solutions to impulsive periodic solution for a singular differential equation. The proof is based on the variational method.

Bibliographic Details
Main Authors: Juntao Sun, Jifeng Chu
Format: Article
Language:English
Published: Texas State University 2014-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/94/abstr.html
_version_ 1818126991994388480
author Juntao Sun
Jifeng Chu
author_facet Juntao Sun
Jifeng Chu
author_sort Juntao Sun
collection DOAJ
description In this article we give a necessary sufficient conditions for the existence of periodic solutions to impulsive periodic solution for a singular differential equation. The proof is based on the variational method.
first_indexed 2024-12-11T07:10:16Z
format Article
id doaj.art-4ae7814d8b3447f699ac383aa6889a95
institution Directory Open Access Journal
issn 1072-6691
language English
last_indexed 2024-12-11T07:10:16Z
publishDate 2014-04-01
publisher Texas State University
record_format Article
series Electronic Journal of Differential Equations
spelling doaj.art-4ae7814d8b3447f699ac383aa6889a952022-12-22T01:16:22ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-04-01201494,110Necessary and sufficient conditions for the existence of periodic solution to singular problems with impulsesJuntao Sun0Jifeng Chu1 Shandong Univ. of Technology, Zibo, Shandong, China Hohai Univ., Nanjing, Jiangsu, China In this article we give a necessary sufficient conditions for the existence of periodic solutions to impulsive periodic solution for a singular differential equation. The proof is based on the variational method.http://ejde.math.txstate.edu/Volumes/2014/94/abstr.htmlPositive periodic solutionsingular differential equationsimpulsesvariational methods
spellingShingle Juntao Sun
Jifeng Chu
Necessary and sufficient conditions for the existence of periodic solution to singular problems with impulses
Electronic Journal of Differential Equations
Positive periodic solution
singular differential equations
impulses
variational methods
title Necessary and sufficient conditions for the existence of periodic solution to singular problems with impulses
title_full Necessary and sufficient conditions for the existence of periodic solution to singular problems with impulses
title_fullStr Necessary and sufficient conditions for the existence of periodic solution to singular problems with impulses
title_full_unstemmed Necessary and sufficient conditions for the existence of periodic solution to singular problems with impulses
title_short Necessary and sufficient conditions for the existence of periodic solution to singular problems with impulses
title_sort necessary and sufficient conditions for the existence of periodic solution to singular problems with impulses
topic Positive periodic solution
singular differential equations
impulses
variational methods
url http://ejde.math.txstate.edu/Volumes/2014/94/abstr.html
work_keys_str_mv AT juntaosun necessaryandsufficientconditionsfortheexistenceofperiodicsolutiontosingularproblemswithimpulses
AT jifengchu necessaryandsufficientconditionsfortheexistenceofperiodicsolutiontosingularproblemswithimpulses