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
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ISSN | 1230-3429 |
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 |
推荐引用方式 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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