C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales

On a new type of almost periodic time scales, a class of BAM neural networks is considered. By employing a fixed point theorem and differential inequality techniques, some sufficient conditions ensuring the existence and global exponential stability of C1-almost periodic solutions for this class of...

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Main Authors: Yongkun Li, Lili Zhao, Li Yang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2015/727329
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author Yongkun Li
Lili Zhao
Li Yang
author_facet Yongkun Li
Lili Zhao
Li Yang
author_sort Yongkun Li
collection DOAJ
description On a new type of almost periodic time scales, a class of BAM neural networks is considered. By employing a fixed point theorem and differential inequality techniques, some sufficient conditions ensuring the existence and global exponential stability of C1-almost periodic solutions for this class of networks with time-varying delays are established. Two examples are given to show the effectiveness of the proposed method and results.
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institution Kabale University
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publishDate 2015-01-01
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series The Scientific World Journal
spelling doaj-art-d924e14d41634cc39e7df91655371b102025-02-03T05:48:12ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/727329727329C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time ScalesYongkun Li0Lili Zhao1Li Yang2Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaOn a new type of almost periodic time scales, a class of BAM neural networks is considered. By employing a fixed point theorem and differential inequality techniques, some sufficient conditions ensuring the existence and global exponential stability of C1-almost periodic solutions for this class of networks with time-varying delays are established. Two examples are given to show the effectiveness of the proposed method and results.http://dx.doi.org/10.1155/2015/727329
spellingShingle Yongkun Li
Lili Zhao
Li Yang
C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales
The Scientific World Journal
title C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales
title_full C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales
title_fullStr C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales
title_full_unstemmed C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales
title_short C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales
title_sort c1 almost periodic solutions of bam neural networks with time varying delays on time scales
url http://dx.doi.org/10.1155/2015/727329
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AT lilizhao c1almostperiodicsolutionsofbamneuralnetworkswithtimevaryingdelaysontimescales
AT liyang c1almostperiodicsolutionsofbamneuralnetworkswithtimevaryingdelaysontimescales