Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale

Let T be a periodic time scale. The purpose of this paper is to use Krasnoselskii's fixed point theorem to prove the existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale. We invert these equations to construct a sum of a con...

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Main Authors:	Abdelouaheb Ardjouni, Ahcene Djoudi
Format:	Article
Language:	English
Published:	Sociedade Brasileira de Matemática 2018-04-01
Series:	Boletim da Sociedade Paranaense de Matemática
Subjects:	Positive periodic solutions nonlinear neutral dynamic equations fixed point theorem time scales
Online Access:	http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31030

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spelling	doaj-2166f387514f42f9bb1cd9429cd912882020-11-24T21:56:11ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882018-04-0136218519810.5269/bspm.v36i2.3103015444Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scaleAbdelouaheb Ardjouni0Ahcene Djoudi1Univ Souk AhrasUniv Souk AhrasLet T be a periodic time scale. The purpose of this paper is to use Krasnoselskii's fixed point theorem to prove the existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale. We invert these equations to construct a sum of a contraction and a compact map which is suitable for applying the Krasnoselskii's theorem. The results obtained here extend the work of Candan <cite>c1</cite>.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31030Positive periodic solutionsnonlinear neutral dynamic equationsfixed point theoremtime scales
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abdelouaheb Ardjouni Ahcene Djoudi
spellingShingle	Abdelouaheb Ardjouni Ahcene Djoudi Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale Boletim da Sociedade Paranaense de Matemática Positive periodic solutions nonlinear neutral dynamic equations fixed point theorem time scales
author_facet	Abdelouaheb Ardjouni Ahcene Djoudi
author_sort	Abdelouaheb Ardjouni
title	Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale
title_short	Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale
title_full	Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale
title_fullStr	Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale
title_full_unstemmed	Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale
title_sort	existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale
publisher	Sociedade Brasileira de Matemática
series	Boletim da Sociedade Paranaense de Matemática
issn	0037-8712 2175-1188
publishDate	2018-04-01
description	Let T be a periodic time scale. The purpose of this paper is to use Krasnoselskii's fixed point theorem to prove the existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale. We invert these equations to construct a sum of a contraction and a compact map which is suitable for applying the Krasnoselskii's theorem. The results obtained here extend the work of Candan <cite>c1</cite>.
topic	Positive periodic solutions nonlinear neutral dynamic equations fixed point theorem time scales
url	http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31030
work_keys_str_mv	AT abdelouahebardjouni existenceofpositiveperiodicsolutionsfornonlinearneutraldynamicequationswithvariablecoefficientsonatimescale AT ahcenedjoudi existenceofpositiveperiodicsolutionsfornonlinearneutraldynamicequationswithvariablecoefficientsonatimescale
_version_	1725859180865126400

Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale

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