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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Zhong-Hua Wu
Formato: article
Lenguaje:EN
Publicado: Hindawi Limited 2021
Materias:
Acceso en línea:https://doaj.org/article/2011dc1817594f08b6e109fed40f9319
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:doaj.org-article:2011dc1817594f08b6e109fed40f9319
record_format dspace
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