Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays

This paper considers the existence of periodic solutions for shunting inhibitory cellular neural networks (SICNNs) with neutral delays. By applying the theory of abstract continuation theorem of k-set contractive operator and some analysis technique, a new result on the existence of periodic solutio...

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Main Author: Ninghua Chen
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/143706
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author Ninghua Chen
author_facet Ninghua Chen
author_sort Ninghua Chen
collection DOAJ
description This paper considers the existence of periodic solutions for shunting inhibitory cellular neural networks (SICNNs) with neutral delays. By applying the theory of abstract continuation theorem of k-set contractive operator and some analysis technique, a new result on the existence of periodic solutions is obtained.
format Article
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-d3068a8cdfdc456ba4d6b66a632b9fa62025-02-03T00:59:53ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/143706143706Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral DelaysNinghua Chen0Fujian Preschool Education College, Fuzhou, Fujian 350007, ChinaThis paper considers the existence of periodic solutions for shunting inhibitory cellular neural networks (SICNNs) with neutral delays. By applying the theory of abstract continuation theorem of k-set contractive operator and some analysis technique, a new result on the existence of periodic solutions is obtained.http://dx.doi.org/10.1155/2013/143706
spellingShingle Ninghua Chen
Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays
Discrete Dynamics in Nature and Society
title Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays
title_full Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays
title_fullStr Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays
title_full_unstemmed Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays
title_short Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays
title_sort existence of periodic solutions for shunting inhibitory cellular neural networks with neutral delays
url http://dx.doi.org/10.1155/2013/143706
work_keys_str_mv AT ninghuachen existenceofperiodicsolutionsforshuntinginhibitorycellularneuralnetworkswithneutraldelays