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EXISTENCE OF POSITIVE SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRAL OR DIFFERENTIAL EQUATIONS
Cheng, Xiyou1,2; Zhang, Zhitao1
2009-12-01
发表期刊TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
ISSN1230-3429
卷号34期号:2页码:267-277
摘要In 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.
关键词Positive solution Hammerstein integral equations fixed point index product cone
语种英语
资助项目NSFC of China[10671195] ; NSFC of China[10471056] ; NSFC of China[10831005] ; NSF of Jiangsu Province of China[06kJD110092]
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:000273066000005
出版者JULIUSZ SCHAUDER CTR NONLINEAR STUDIES
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/7095
专题数学所
通讯作者Cheng, Xiyou
作者单位1.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
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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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