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 ZuoHuan1; Li XiLiang2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2010 |
| 卷号 | 53期号:8页码:2045-2059 |
| 关键词 | COMPETITIVE DYNAMICAL-SYSTEMS MONOTONE CONVERGENCE ATTRACTORS SEMIFLOWS continuous equilibrium non-autonomous functional differential equations skew-product semiflows topological dynamics |
| ISSN号 | 1674-7283 |
| 其他题名 | necessaryandsufficientconditionsfortheexistenceofequilibriuminabstractnonautonomousfunctionaldifferentialequations |
| 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. |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4078039 |
| 源URL | [http://ir.yic.ac.cn/handle/133337/35005]  |
| 专题 | 中国科学院烟台海岸带研究所 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.中国科学院烟台海岸带研究所 |
| 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：烟台海岸带研究所
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