A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance

Abstract In this paper, we establish a Lazer-Leach-type condition depending on the delay for the existence of positive periodic solutions for singular differential equations with a deviating argument at resonance. The proof of the main result is based on the phase-plane analysis and topological degr...

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Main Author:	Jin Li
Format:	Article
Language:	English
Published:	SpringerOpen 2017-07-01
Series:	Advances in Difference Equations
Subjects:	periodic solutions deviating argument singular at resonance Lazer-Leach-type condition
Online Access:	http://link.springer.com/article/10.1186/s13662-017-1240-0

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spelling	doaj-9d13918f650044419da80ae6587d50692020-11-25T00:21:26ZengSpringerOpenAdvances in Difference Equations1687-18472017-07-012017111510.1186/s13662-017-1240-0A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonanceJin Li0School of Science, Jiujiang UniversityAbstract In this paper, we establish a Lazer-Leach-type condition depending on the delay for the existence of positive periodic solutions for singular differential equations with a deviating argument at resonance. The proof of the main result is based on the phase-plane analysis and topological degree methods.http://link.springer.com/article/10.1186/s13662-017-1240-0periodic solutionsdeviating argumentsingularat resonanceLazer-Leach-type condition
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jin Li
spellingShingle	Jin Li A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance Advances in Difference Equations periodic solutions deviating argument singular at resonance Lazer-Leach-type condition
author_facet	Jin Li
author_sort	Jin Li
title	A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance
title_short	A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance
title_full	A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance
title_fullStr	A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance
title_full_unstemmed	A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance
title_sort	lazer-leach-type condition for singular differential equations with a deviating argument at resonance
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2017-07-01
description	Abstract In this paper, we establish a Lazer-Leach-type condition depending on the delay for the existence of positive periodic solutions for singular differential equations with a deviating argument at resonance. The proof of the main result is based on the phase-plane analysis and topological degree methods.
topic	periodic solutions deviating argument singular at resonance Lazer-Leach-type condition
url	http://link.springer.com/article/10.1186/s13662-017-1240-0
work_keys_str_mv	AT jinli alazerleachtypeconditionforsingulardifferentialequationswithadeviatingargumentatresonance AT jinli lazerleachtypeconditionforsingulardifferentialequationswithadeviatingargumentatresonance
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A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance

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