| 变系数变时滞BAM神经网络概周期解的存在性与全局吸引性 |
| |
| 引用本文： | 张丽娟.变系数变时滞BAM神经网络概周期解的存在性与全局吸引性[J].生物数学学报,2007,22(3):403-412. |
| |
| 作者姓名： | 张丽娟 |
| |
| 作者单位： | 海军航空工程学院,应用数学研究所,山东,烟台,264005;烟台大学,数学与信息科学学院,山东,烟台,264005 |
| |
| 基金项目： | This Work was Supported by Distinguished Expert Science Foundation of Naval Aeronautical Institute and the Younger Foundation of Yantai University （SX06Z9） |
| |
| 摘 要： | 利用指数二分性、Banach不动点定理与微分不等式分析技巧，在不要求激活函数有界的条件下，给出了变系数变时滞的BAM神经网络概周期解的存在唯一性和全局吸引性的充分条件．所得结果推广和改进了相应文献的结果。对设计BAM神经网络概周期振荡有重要意义．
|
| 关 键 词： | BAM神经网络 概周期解 全局吸引性 指数二分性 不动点定理 |
| 文章编号： | 1001-9626（2007）03-0403-10 |
| 收稿时间： | 2006-03-07 |
| 修稿时间： | 2006年3月7日 |
Existence and Global Attractivity of Almost Periodic Solution for BAM Neural Networks with Variable Coefficients and Delays |
| |
| ZHANG Li-juan.Existence and Global Attractivity of Almost Periodic Solution for BAM Neural Networks with Variable Coefficients and Delays[J].Journal of Biomathematics,2007,22(3):403-412. |
| |
| Authors: | ZHANG Li-juan |
| |
| Institution: | 1 Institute of Applied Math., Naval Aeronautical Engineerin.q Institute, Yantai Shandong 264005 China;2 School of Mathematics and In f ormation Science, Yantai University, Yantai Shandong 264005 China |
| |
| Abstract: | By using exponential dichotomy, the Banach fixed point theory and some inequality analysis technology, some sufficient conditions are derived ensuring existence, uniqueness and global attractivity of almost periodic solution for BAM neural networks with variable coefficients and delays. Without assuming the boundedness of signal function, these results obtained are significant in design and applications of almost periodic oscillatory BAM neural networks. We extend and improve previously known results. |
| |
| Keywords: | BAM neural networks Almost periodic solution Global attractivity Exponential dichotomy Fixed point theory |
| 本文献已被 维普 万方数据 等数据库收录！ |
