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arXiv · 1504.03180

Weighted pseudo-almost periodic functions on time scales with applications to cellular neural networks with discrete delays

Yongkun Li·Lili Zhao
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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.

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Yongkun Li, Lili Zhao. 2015-04-13. Weighted pseudo-almost periodic functions on time scales with applications to cellular neural networks with discrete delays. https://doi.org/10.1002/mma.4107

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