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Journal of Inequalities and Applications
Erschienen in: Journal of Inequalities and Applications 1/2010

Open Access 01.12.2010 | Research Article

Existence and Stability of Antiperiodic Solution for a Class of Generalized Neural Networks with Impulses and Arbitrary Delays on Time Scales

verfasst von: Yongkun Li, Erliang Xu, Tianwei Zhang

Erschienen in: Journal of Inequalities and Applications | Ausgabe 1/2010

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Abstract

By using coincidence degree theory and Lyapunov functions, we study the existence and global exponential stability of antiperiodic solutions for a class of generalized neural networks with impulses and arbitrary delays on time scales. Some completely new sufficient conditions are established. Finally, an example is given to illustrate our results. These results are of great significance in designs and applications of globally stable anti-periodic Cohen-Grossberg neural networks with delays and impulses.
Vorheriger Artikel Almost Sure Central Limit Theorem for a Nonstationary Gaussian Sequence
Nächster Artikel An Estimate of the Essential Norm of a Composition Operator from to in the Unit Ball

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Metadaten
Titel
Existence and Stability of Antiperiodic Solution for a Class of Generalized Neural Networks with Impulses and Arbitrary Delays on Time Scales
verfasst von
Yongkun Li
Erliang Xu
Tianwei Zhang
Publikationsdatum
01.12.2010
Verlag
Springer International Publishing
Erschienen in
Journal of Inequalities and Applications / Ausgabe 1/2010
Elektronische ISSN: 1029-242X
DOI
https://doi.org/10.1155/2010/132790

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