| Existence and Global Exponential Stability of Periodic Solutions for General Shunting Inhibitory Cellular Neural Networks with Delays |
| Received:November 04, 2008 Revised:May 04, 2010 |
| Key Words:
shunting inhibitory cellular neural networks global exponential stability periodic solution.
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| Fund Project:Supported by the Honghe University Master or Doctor Initial Fund (Grant No.XSS07001) and the Scientific Research Fund of Yunnan Provincial Education Department (Grant No.07Y10085). |
| Author Name | Affiliation | | De Fei ZHANG | Department of Mathematics, Honghe University, Yunnan 661100, P. R. China | | Xin Song YANG | Department of Mathematics, Honghe University, Yunnan 661100, P. R. China | | Yao LONG | Department of Mathematics, Honghe University, Yunnan 661100, P. R. China | | Ping HE | Department of Mathematics, Honghe University, Yunnan 661100, P. R. China |
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| Abstract: |
| By using the Leray-Schauder fixed point theorem, differential inequality techniques and constructing suitable Lyapunov functional, several sufficient conditions are obtained for the existence and global exponential stability of periodic solutions for general shunting inhibitory cellular neural networks with delays. Some new results are obtained and some previously known results are improved. An example is employed to illustrate our feasible results. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.06.023 |
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