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Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces

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成果类型:
期刊论文
作者:
Wang, Wansheng*;Fan, Qin;Zhang, Yuan;Li, Shoufu
通讯作者:
Wang, Wansheng
作者机构:
[Fan, Qin; Wang, Wansheng; Zhang, Yuan] Changsha Univ Sci & Technol, Sch Math & Computat Sci, Hunan 410114, Peoples R China.
[Li, Shoufu] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China.
通讯机构:
[Wang, Wansheng] C
Changsha Univ Sci & Technol, Sch Math & Computat Sci, Hunan 410114, Peoples R China.
语种:
英文
关键词:
Asymptotic stability;Banach spaces;Delay integro-differential equations of "Hale's" form;Neutral functional differential equations;Volterra functional differential equations;Volterra partial functional differential equations
期刊:
Applied Mathematics and Computation
ISSN:
0096-3003
年:
2014
卷:
237
页码:
217-226
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11001033, 11171282, 11371074]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [13JJ1020]; Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [13A108]; Open Fund Project of Key Research Institute of Philosophies and Social Sciences in Hunan Universities
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
This paper is concerned with the asymptotic stability properties of the solution to nonlinear neutral and Volterra functional differential equations. Some sufficient conditions for the asymptotic stability of the systems are given. As an illustration of the applications of these investigations, the contractivity and asymptotic stability results of the solution to Volterra partial functional differential equations and delay integro-differential equations of “Hale’s” form are obtained respectively. These results form the basis for obtaining ...

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