Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks
A class of BAM neural networks with variable coefficients and neutral delays are investigated. By employing fixed-point theorem, the exponential dichotomy, and differential inequality techniques, we obtain some sufficient conditions to insure the existence and globally exponential stability of almos...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/482584 |
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| author | Tetie Pan Bao Shi Jian Yuan |
| author_facet | Tetie Pan Bao Shi Jian Yuan |
| author_sort | Tetie Pan |
| collection | DOAJ |
| description | A class of BAM neural networks with variable coefficients and neutral delays are investigated. By employing fixed-point theorem, the exponential dichotomy, and differential inequality techniques, we obtain some sufficient conditions to insure the existence and globally exponential stability of almost periodic solution. This is the first time to investigate the almost periodic solution of the BAM neutral neural network and the results of this paper are new, and they extend previously known results. |
| format | Article |
| id | doaj-art-fce2209232ae41179ed1bfb4e0d847e6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-fce2209232ae41179ed1bfb4e0d847e62025-02-03T01:12:35ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/482584482584Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural NetworksTetie Pan0Bao Shi1Jian Yuan2Institute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaA class of BAM neural networks with variable coefficients and neutral delays are investigated. By employing fixed-point theorem, the exponential dichotomy, and differential inequality techniques, we obtain some sufficient conditions to insure the existence and globally exponential stability of almost periodic solution. This is the first time to investigate the almost periodic solution of the BAM neutral neural network and the results of this paper are new, and they extend previously known results.http://dx.doi.org/10.1155/2012/482584 |
| spellingShingle | Tetie Pan Bao Shi Jian Yuan Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks Abstract and Applied Analysis |
| title | Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks |
| title_full | Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks |
| title_fullStr | Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks |
| title_full_unstemmed | Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks |
| title_short | Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks |
| title_sort | global stability of almost periodic solution of a class of neutral type bam neural networks |
| url | http://dx.doi.org/10.1155/2012/482584 |
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