Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations

doi:10.1007/s11425-010-3012-0

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	Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations
	Zheng ZuoHuan2 ; Li XiLiang 1
	2010-08-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	53 期号:8 页码:2045-2059
摘要	In this article, we aim to establish necessary and sufficient conditions that guarantee the existence of equilibria and continuous equilibria for the continuous skew-product semiflow induced by a class of abstract non-autonomous finite-delay functional differential equations without any monotone conditions assumed. A minimal set is constructed in terms of which necessary and sufficient conditions for a continuous equilibrium to exist are also obtained. Several illustrative examples are employed to demonstrate our results.
关键词	continuous equilibrium non-autonomous functional differential equations skew-product semiflows topological dynamics
DOI	10.1007/s11425-010-3012-0
语种	英语
资助项目	Key Lab of Random Complex Structures and Data Science, CAS[2008DP173182] ; National Basic Research Program of China (973 Project)[2005CB321902]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000281011200014
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10462
专题	应用数学研究所
通讯作者	Li XiLiang
作者单位	1.Shandong Inst Business & Technol, Coll Math & Informat Sci, Yantai 264005, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zheng ZuoHuan,Li XiLiang. Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations[J]. SCIENCE CHINA-MATHEMATICS,2010,53(8):2045-2059.
APA	Zheng ZuoHuan,&Li XiLiang.(2010).Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations.SCIENCE CHINA-MATHEMATICS,53(8),2045-2059.
MLA	Zheng ZuoHuan,et al."Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations".SCIENCE CHINA-MATHEMATICS 53.8(2010):2045-2059.