Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms. (27th October 2021) - Wu, Zhong-Hua
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 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.