Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms

Through the use of the measure theory, evolution family, “Acquistapace–Terreni” condition, and Hölder inequality, the core objective of this work is to seek to analyze whether there is unique μ-pseudo almost periodic solution to a functional evolution equation with Stepanov forcing terms in a Banach...

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Auteur principal:	Zhong-Hua Wu
Format:	article
Langue:	EN
Publié:	Hindawi Limited 2021
Sujets:	Physics QC1-999
Accès en ligne:	https://doaj.org/article/2011dc1817594f08b6e109fed40f9319
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spelling	oai:doaj.org-article:2011dc1817594f08b6e109fed40f93192021-11-08T02:37:24ZAsymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms1687-913910.1155/2021/4412527https://doaj.org/article/2011dc1817594f08b6e109fed40f93192021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/4412527https://doaj.org/toc/1687-9139Through the use of the measure theory, evolution family, “Acquistapace–Terreni” condition, and Hölder inequality, the core objective of this work is to seek to analyze whether there is unique μ-pseudo almost periodic solution to a functional evolution equation with Stepanov forcing terms in a Banach space. Certain adequate conditions are derived guaranteeing there is unique μ-pseudo almost periodic solution to the equation by Lipschitz condition and contraction mapping principle. Finally, an example is used to demonstrate our theoretical findings.Zhong-Hua WuHindawi LimitedarticlePhysicsQC1-999ENAdvances in Mathematical Physics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Zhong-Hua Wu Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms
description	Through the use of the measure theory, evolution family, “Acquistapace–Terreni” condition, and Hölder inequality, the core objective of this work is to seek to analyze whether there is unique μ-pseudo almost periodic solution to a functional evolution equation with Stepanov forcing terms in a Banach space. Certain adequate conditions are derived guaranteeing there is unique μ-pseudo almost periodic solution to the equation by Lipschitz condition and contraction mapping principle. Finally, an example is used to demonstrate our theoretical findings.
format	article
author	Zhong-Hua Wu
author_facet	Zhong-Hua Wu
author_sort	Zhong-Hua Wu
title	Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms
title_short	Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms
title_full	Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms
title_fullStr	Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms
title_full_unstemmed	Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms
title_sort	asymptotic behavior of solution for functional evolution equations with stepanov forcing terms
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/2011dc1817594f08b6e109fed40f9319
work_keys_str_mv	AT zhonghuawu asymptoticbehaviorofsolutionforfunctionalevolutionequationswithstepanovforcingterms
_version_	1718442979276881920

Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms

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