| 一类具有脉冲的时滞神经网络模型周期解的存在性和稳定性 |
| |
| 引用本文： | 李宝麟,蒲武军.一类具有脉冲的时滞神经网络模型周期解的存在性和稳定性[J].数学研究及应用,2009,29(3):517-527. |
| |
| 作者姓名： | 李宝麟 蒲武军 |
| |
| 作者单位： | 西北师范大学数信学院, 甘肃 兰州 730070;陇南师范专科学校数学系, 甘肃成县 742500 |
| |
| 基金项目： | 国家自然科学基金(No.10671158); 西北师范大学科技创新工程-212资助项目;甘肃省-555-创新人才资助项目. |
| |
| 摘 要： | By using the continuation theorem of Mawhin＇s coincidence degree theory, Hoelder inequality and some analysis techniques, some effective results are obtained ensuring existence and global exponential stability of periodic solutions in delayed cellular neural networks with impulses. An illustrative example is given to demonstrate the effectiveness of the obtained results.
|
| 关 键 词： | 全局指数稳定性 细胞神经网络 周期解 延迟 Hoelder 脉冲 重合度理论 定理 |
| 收稿时间： | 4/2/2007 12:00:00 AM |
| 修稿时间： | 1/2/2008 12:00:00 AM |
Existence and Stability of Periodic Solutions in Delayed Cellular Neural Networks with Impulses |
| |
| LI Bao Lin and PU Wu Jun.Existence and Stability of Periodic Solutions in Delayed Cellular Neural Networks with Impulses[J].Journal of Mathematical Research with Applications,2009,29(3):517-527. |
| |
| Authors: | LI Bao Lin and PU Wu Jun |
| |
| Institution: | Department of Mathematics, Northwest University, Gansu 730070, China;Department of Mathematics, Longnan Teacher's College, Gansu 742500, China |
| |
| Abstract: | By using the continuation theorem of Mawhin's coincidence degree theory, H\"{o}lder inequality and some analysis techniques, some effective results are obtained ensuring existence and global exponential stability of periodic solutions in delayed cellular neural networks with impulses. An illustrative example is given to demonstrate the effectiveness of the obtained results. |
| |
| Keywords: | neural networks periodic solution exponential stability delay impulses |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
