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Positive solutions for a multi-parameter system of second-order ordinary differential equations
Cheng XiYou1,2; Zhang ZhiTao2
2011-05-01
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Volume54Issue:5Pages:959-972
AbstractIn 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.
Keywordpositive solution ordinary differential systems fixed point index
DOI10.1007/s11425-011-4213-x
Language英语
Funding ProjectNatural 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000290768800008
PublisherSCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/12560
Collection数学所
Corresponding AuthorCheng XiYou
Affiliation1.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
Recommended Citation
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.
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