Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales

Abstract In this paper, a class of fourth-order nonlinear neutral dynamic equations on time scales is investigated. We obtain some sufficient conditions for the existence of nonoscillatory solutions tending to zero with some characteristics of the equations by Krasnoselskii’s fixed point theorem. Fi...

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Main Author:	Yang-Cong Qiu
Format:	Article
Language:	English
Published:	SpringerOpen 2021-08-01
Series:	Advances in Difference Equations
Subjects:	Nonoscillatory solution Tending to zero Fourth-order Neutral dynamic equation Time scale
Online Access:	https://doi.org/10.1186/s13662-021-03529-z

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spelling	doaj-b884bbeccccb4405b8c1b4109add75402021-08-08T11:09:29ZengSpringerOpenAdvances in Difference Equations1687-18472021-08-012021111610.1186/s13662-021-03529-zExistence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scalesYang-Cong Qiu0School of Humanities, Shunde PolytechnicAbstract In this paper, a class of fourth-order nonlinear neutral dynamic equations on time scales is investigated. We obtain some sufficient conditions for the existence of nonoscillatory solutions tending to zero with some characteristics of the equations by Krasnoselskii’s fixed point theorem. Finally, two interesting examples are presented to show the significance of the results.https://doi.org/10.1186/s13662-021-03529-zNonoscillatory solutionTending to zeroFourth-orderNeutral dynamic equationTime scale
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yang-Cong Qiu
spellingShingle	Yang-Cong Qiu Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales Advances in Difference Equations Nonoscillatory solution Tending to zero Fourth-order Neutral dynamic equation Time scale
author_facet	Yang-Cong Qiu
author_sort	Yang-Cong Qiu
title	Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales
title_short	Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales
title_full	Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales
title_fullStr	Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales
title_full_unstemmed	Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales
title_sort	existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2021-08-01
description	Abstract In this paper, a class of fourth-order nonlinear neutral dynamic equations on time scales is investigated. We obtain some sufficient conditions for the existence of nonoscillatory solutions tending to zero with some characteristics of the equations by Krasnoselskii’s fixed point theorem. Finally, two interesting examples are presented to show the significance of the results.
topic	Nonoscillatory solution Tending to zero Fourth-order Neutral dynamic equation Time scale
url	https://doi.org/10.1186/s13662-021-03529-z
work_keys_str_mv	AT yangcongqiu existenceofnonoscillatorysolutionstendingtozerooffourthordernonlinearneutraldynamicequationsontimescales
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Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales

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