Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations
文献类型：期刊论文
| 作者 | Zheng ZuoHuan2 ; Li XiLiang1
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2010-08-01 |
| 卷号 | 53期号:8页码:2045-2059 |
| 关键词 | continuous equilibrium non-autonomous functional differential equations skew-product semiflows topological dynamics |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-3012-0 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000281011200014 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10461]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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