Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays

The shunting inhibitory cellular neural networks with continuously distributed delays and pseudo almost periodic coefficients are considered. First, we make a generalization of the Halanay inequality, and then establish some sufficient conditions for the existence and asymptotical stability of pseud...

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Detalles Bibliográficos
Autores principales: Lu, Yueming, Ji, Desheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5624988/
https://www.ncbi.nlm.nih.gov/pubmed/29046605
http://dx.doi.org/10.1186/s13660-017-1515-8
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author Lu, Yueming
Ji, Desheng
author_facet Lu, Yueming
Ji, Desheng
author_sort Lu, Yueming
collection PubMed
description The shunting inhibitory cellular neural networks with continuously distributed delays and pseudo almost periodic coefficients are considered. First, we make a generalization of the Halanay inequality, and then establish some sufficient conditions for the existence and asymptotical stability of pseudo almost periodic solutions. Finally, a numerical simulation is presented to illustrate the theoretical results.
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spelling pubmed-56249882017-10-16 Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays Lu, Yueming Ji, Desheng J Inequal Appl Research The shunting inhibitory cellular neural networks with continuously distributed delays and pseudo almost periodic coefficients are considered. First, we make a generalization of the Halanay inequality, and then establish some sufficient conditions for the existence and asymptotical stability of pseudo almost periodic solutions. Finally, a numerical simulation is presented to illustrate the theoretical results. Springer International Publishing 2017-10-02 2017 /pmc/articles/PMC5624988/ /pubmed/29046605 http://dx.doi.org/10.1186/s13660-017-1515-8 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Lu, Yueming
Ji, Desheng
Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
title Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
title_full Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
title_fullStr Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
title_full_unstemmed Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
title_short Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
title_sort pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5624988/
https://www.ncbi.nlm.nih.gov/pubmed/29046605
http://dx.doi.org/10.1186/s13660-017-1515-8
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