On positive periodic solutions of a nonautonomous neutral delay n-species competitive system
文献类型：期刊论文
| 作者 | Liu, Zhijun1,2; Chen, Lansun1,3 |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2008-03-15 |
| 卷号 | 68期号:6页码:1409-1420 |
| 关键词 | positive periodic solution neutral delay existence theorem competition system |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2006.12.026 |
| 英文摘要 | The purpose of this paper is to investigate a general neutral delay n-species competitive nonautonomous system. Different from Gaines and Mawhin's continuation theorem [R.E. Gaines, J.L. Mawhin, Coincidence Degree and Nonlinear Differential Equations, Springer-Verlag, Berlin, 1977] and abstract continuation theory for k-set contraction [W. Petryshyn, Z. Yu, Existence theorem for periodic solutions of higher order nonlinear periodic boundary value problems, Nonlinear Anal. 6 (1982) 943-969; R.E. Gaines, J.L. Mawhin, Lecture Notes in Mathematics, vol. 586, Springer-Verlag, Berlin, 1977], a new existence theorem is introduced. With the help of the theorem and some techniques, a set of sufficient conditions are derived for the existence of at least one strictly positive (componentwise) periodic solution. As an application, we also examine some special cases which have been studied extensively in the literature. Some known results are improved and generalized. (C) 2007 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000253882100001 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6100]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, Zhijun |
| 作者单位 | 1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R China 2.Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China 3.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Zhijun,Chen, Lansun. On positive periodic solutions of a nonautonomous neutral delay n-species competitive system[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2008,68(6):1409-1420. |
| APA | Liu, Zhijun,&Chen, Lansun.(2008).On positive periodic solutions of a nonautonomous neutral delay n-species competitive system.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,68(6),1409-1420. |
| MLA | Liu, Zhijun,et al."On positive periodic solutions of a nonautonomous neutral delay n-species competitive system".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 68.6(2008):1409-1420. |
入库方式： OAI收割
来源：数学与系统科学研究院
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