Weighted pseudo‐almost periodic functions on time scales with applications to cellular neural networks with discrete delays. (25th July 2016)

• Record Type: Journal Article
• Authors: Li, Yongkun; Zhao, Lili
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 6(2017)
• Page Start: 1905
• Page End: 1921
• Publication Date: 2016-07-25
• Subjects: weighted pesudo‐almost periodic solutions -- global exponential stability -- neural networks -- exponential dichotomy -- time scales; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4107
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we first propose a concept of weighted pseudo‐almost periodic functions on time scales and study some basic properties of weighted pseudo‐almost periodic functions on time scales. Then, we establish some results about the existence of weighted pseudo‐almost periodic solutions to linear dynamic equations on time scales. Finally, as an application of our results, we study the existence and global exponential stability of weighted pseudo‐almost periodic solutions for a class of cellular neural networks with discrete delays on time scales. The results of this paper are completely new. Copyright © 2016 John Wiley & Sons, Ltd.