Almost periodic solutions to dynamic equations on time scales and applications
type: Item
instance of: scholarly article
title: Almost periodic solutions to dynamic equations on time scales and applications
zbMATH Open document ID: 1251.34060
DOI: 10.1155/2012/463913
author: Chao Wang
author: Yongkun Li
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We first introduce the concept of admitting an exponential dichotomy to a class of linear dynamic equations on time scales and study the existence and uniqueness of almost periodic solution and its expression form to this class of linear dynamic equations on time scales. Then, as an application, using these concepts and results, we establish sufficient conditions for the existence and exponential stability of almost periodic solution to a class of Hopfield neural networks with delays. Finally, two examples and numerical simulations given to illustrate our results are plausible and meaningful.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34N05
zbMATH DE Number: 6106218
zbMATH Keywords: exponential dichotomy
zbMATH Keywords: dynamic equations on time scales
Wikidata QID: Q58905918
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/463913
OpenAlex ID: W2034335536
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description: scientific article; zbMATH DE number 6106218