Weighted Pseudo-Almost Periodic Solutions for Shunting Inhibitory Cellular Neural Networks on Time Scales

In this paper, by using the exponential dichotomy of linear dynamic equations on time scales, a fixed point theorem and the theory of calculus on time scales, we obtain sufficient conditions for the existence, uniqueness and global exponential stability of weighted pseudo-almost periodic solutions o...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2019-09, Vol.42 (5), p.2055-2074
Hauptverfasser: Yu, Xuxu, Wang, Qiru
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, by using the exponential dichotomy of linear dynamic equations on time scales, a fixed point theorem and the theory of calculus on time scales, we obtain sufficient conditions for the existence, uniqueness and global exponential stability of weighted pseudo-almost periodic solutions of a class of shunting inhibitory cellular neural networks with mixed delays on time scales. A numerical example is also presented to illustrate the feasibility of our results.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-017-0595-4