[1]姚慧丽,孙海彤,卜宪江.一类带可变延迟细胞神经网络的渐近概周期解[J].哈尔滨理工大学学报,2017,(05):130-136.[doi:10. 15938/j. jhust. 2017. 05. 024]
 YAO Hui-li,SUN Hai-tong,BU Xian-jiang.Asymptotically Almost Periodic Solutions for a Class of Cellular Neural Networks with Varying Delays[J].哈尔滨理工大学学报,2017,(05):130-136.[doi:10. 15938/j. jhust. 2017. 05. 024]
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一类带可变延迟细胞神经网络的渐近概周期解()
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《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

卷:
期数:
2017年05期
页码:
130-136
栏目:
材料科学与工程
出版日期:
2017-12-30

文章信息/Info

Title:
Asymptotically Almost Periodic Solutions for a Class of Cellular Neural Networks with Varying Delays
文章编号:
1007-2683(2017)05-0130-07
作者:
姚慧丽 孙海彤 卜宪江
(哈尔滨理工大学 应用科学学院,黑龙江 哈尔滨 150080)
Author(s):
YAO Hui-li SUN Hai-tong BU Xian-jiang
(School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China)
关键词:
细胞神经网络渐近概周期解指数二分法不动点延迟
Keywords:
cellular neural networks asymptotically almost periodic solutions exponential dichotomy fixed pointdelay
分类号:
O175
DOI:
10. 15938/j. jhust. 2017. 05. 024
文献标志码:
A
摘要:
自一类特殊的微分方程即带有延迟的细胞神经网络被建立以来,讨论其各种解的存在性和唯一性成为重要研究内容,特别是对概周期型解的研究。为了探讨渐近概周期函数在一类带可变延迟细胞神经网络中的应用,依据 Banach 不动点定理和指数二分法的有关知识,并结合已有文献对这类细胞神经网络概周期解的研究,讨论了这类细胞神经网络的渐近概周期解的存在及唯一性问题,证明了该类方程在一定的充分条件下有唯一的渐近概周期解。
Abstract:
Since a class of specific differential equations called cellular neural networks with delays have been established,the discussion on existence and uniqueness of all kinds of solutions for this class of equation become important study contents,especially the study on almost periodic type solutions. In order to study asymptotically almost functions,applications on a class of cellular neural networks with varying delays,the existence and uniqueness of asymptotically almost periodic solutions on this class of cellular neural networks are discussed by using Banach fixed point theorem and some knowledge on exponential dichotomy,combining with the research of almost periodic solutions on this class of cellular neural networks in some literature,and it is proved that this class of cellular neural networks has unique asymptotically almost periodic solution under some sufficient conditions.

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[1]姚慧丽,张娜,薛寒.一类具有逐段常变量扰动系统的渐近概周期解[J].哈尔滨理工大学学报,2015,(01):89.
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[3]姚慧丽,卜宪江.一类分流抑制细胞神经网络的渐近概周期解[J].哈尔滨理工大学学报,2016,(04):122.[doi:10.15938/j.jhust.2016.04.023]
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更新日期/Last Update: 2017-11-28