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EXISTENCE OF POSITIVE SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRAL OR DIFFERENTIAL EQUATIONS
Cheng, Xiyou1,2; Zhang, Zhitao1
2009-12-01
Source PublicationTOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
ISSN1230-3429
Volume34Issue:2Pages:267-277
AbstractIn this paper, we axe concerned with existence of positive solutions for systems of nonlinear Hammerstein integral equations, in which one nonlinear term is superlinear and the other is sublinear. The discussion is based on the product formula of fixed point index on product cone and fixed point index theory in cones. As applications, we consider existence of positive solutions for systems of second-order ordinary differential equations with different boundary conditions.
KeywordPositive solution Hammerstein integral equations fixed point index product cone
Language英语
Funding ProjectNSFC of China[10671195] ; NSFC of China[10471056] ; NSFC of China[10831005] ; NSF of Jiangsu Province of China[06kJD110092]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000273066000005
PublisherJULIUSZ SCHAUDER CTR NONLINEAR STUDIES
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/7095
Collection数学所
Corresponding AuthorCheng, Xiyou
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
2.Nanjing Audit Univ, Dept Appl Math, Nanjing 210029, Peoples R China
Recommended Citation
GB/T 7714
Cheng, Xiyou,Zhang, Zhitao. EXISTENCE OF POSITIVE SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRAL OR DIFFERENTIAL EQUATIONS[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,2009,34(2):267-277.
APA Cheng, Xiyou,&Zhang, Zhitao.(2009).EXISTENCE OF POSITIVE SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRAL OR DIFFERENTIAL EQUATIONS.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,34(2),267-277.
MLA Cheng, Xiyou,et al."EXISTENCE OF POSITIVE SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRAL OR DIFFERENTIAL EQUATIONS".TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 34.2(2009):267-277.
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