Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms. (27th October 2021)

• Record Type: Journal Article
• Authors: Wu, Zhong-Hua
• Other Names: Xiong Naixue Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2021(2021)
• Publication Date: 2021-10-27
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2021/4412527
• Languages: English
• ISSNs: 1687-9120

Abstract

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.