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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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/4412527 |
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| _version_ | 1832568479306219520 |
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| author | Zhong-Hua Wu |
| author_facet | Zhong-Hua Wu |
| author_sort | Zhong-Hua Wu |
| collection | DOAJ |
| 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 |
| id | doaj-art-2011dc1817594f08b6e109fed40f9319 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-2011dc1817594f08b6e109fed40f93192025-02-03T00:58:55ZengWileyAdvances in Mathematical Physics1687-91392021-01-01202110.1155/2021/4412527Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing TermsZhong-Hua Wu0Faculty of Information TechnologyThrough 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.http://dx.doi.org/10.1155/2021/4412527 |
| spellingShingle | Zhong-Hua Wu Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms Advances in Mathematical Physics |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/4412527 |
| work_keys_str_mv | AT zhonghuawu asymptoticbehaviorofsolutionforfunctionalevolutionequationswithstepanovforcingterms |