Positive solutions for a multi-parameter system of second-order ordinary differential equations

doi:10.1007/s11425-011-4213-x

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	Positive solutions for a multi-parameter system of second-order ordinary differential equations
	Cheng XiYou 1,2; Zhang ZhiTao2
	2011-05-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	54 期号:5 页码:959-972
摘要	In this paper, we establish the product formula for the fixed point index on product cone, and then, as applications, consider the existence, nonexistence and multiplicity of positive solutions for a second-order ordinary differential system with parameters. The discussion is based on the product formula and the fundamental properties of the fixed point index.
关键词	positive solution ordinary differential systems fixed point index
DOI	10.1007/s11425-011-4213-x
语种	英语
资助项目	Natural Science Foundation in Jiangsu Province[10KJB110004] ; Natural Science Foundation in Jiangsu Province[08KJD110010] ; China Postdoctoral Science Foundation[20090450601] ; National Natural Science Foundation of China[10971046] ; National Natural Science Foundation of China[10831005] ; National Natural Science Foundation of China[10671195]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000290768800008
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/12560
专题	数学所
通讯作者	Cheng XiYou
作者单位	1.Nanjing Audit Univ, Dept Appl Math, Nanjing 210029, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cheng XiYou,Zhang ZhiTao. Positive solutions for a multi-parameter system of second-order ordinary differential equations[J]. SCIENCE CHINA-MATHEMATICS,2011,54(5):959-972.
APA	Cheng XiYou,&Zhang ZhiTao.(2011).Positive solutions for a multi-parameter system of second-order ordinary differential equations.SCIENCE CHINA-MATHEMATICS,54(5),959-972.
MLA	Cheng XiYou,et al."Positive solutions for a multi-parameter system of second-order ordinary differential equations".SCIENCE CHINA-MATHEMATICS 54.5(2011):959-972.