Details

Autor(en) / Beteiligte

• Wu, Zhong-Hua
• Xiong, Naixue
• Naixue Xiong

Titel

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

Ist Teil von

• Advances in Mathematical Physics, 2021-10, Vol.2021, p.1-9

Ort / Verlag

New York: Hindawi

Erscheinungsjahr

2021

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.