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...
Guardado en:
Autor principal: | |
---|---|
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 |