Existence and Global Asymptotic Behavior of S-Asymptotically ω-Periodic Solutions for Evolution Equation with Delay. (19th November 2020)

• Record Type: Journal Article
• Authors: Qiao, Hong; Li, Qiang; Yuan, Tianjiao
• Other Names: McKibben Mark A. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-11-19
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/1540383
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper is concerned with the abstract evolution equation with delay. Firstly, we establish some sufficient conditions to ensure the existence results for the S -asymptotically periodic solutions by means of the compact semigroup. Secondly, we consider the global asymptotic behavior of the delayed evolution equation by using the Gronwall-Bellman integral inequality involving delay. These results improve and generalize the recent conclusions on this topic. Finally, we give an example to exhibit the practicability of our abstract results.