On positive periodic solutions of a nonautonomous neutral delay n-species competitive system

doi:10.1016/j.na.2006.12.026

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	On positive periodic solutions of a nonautonomous neutral delay n-species competitive system
	Liu, Zhijun 1,2; Chen, Lansun 1,3
	2008-03-15
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	68 期号:6 页码:1409-1420
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.
关键词	positive periodic solution neutral delay existence theorem competition system
DOI	10.1016/j.na.2006.12.026
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000253882100001
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6101
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.