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

Zhong-Hua Wu

Advances in Mathematical Physics, 2021, vol. 2021, 1-9

Abstract:

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 - 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 - pseudo almost periodic solution to the equation by Lipschitz condition and contraction mapping principle. Finally, an example is used to demonstrate our theoretical findings.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4412527

DOI: 10.1155/2021/4412527

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