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MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS

文献类型：期刊论文

作者Cheng, Xiyou2; Feng, Zhaosheng3; Zhang, Zhitao1
刊名COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
出版日期2020
卷号19期号:1页码:221-240
关键词Positive solution Hammerstein integral equations weighted functions fixed point index Dirichlet boundary condition
ISSN号1534-0392
DOI10.3934/cpaa.2020012
英文摘要We are concerned with the existence and multiplicity of component-wise positive solutions for nonlinear system of Hammerstein integral equations with the weighted functions and the associated nonlinear eigenvalue problem. Our discussions are based on the product formula of fixed point index on product cones and the fixed point index theory. Moreover, we establish the existence and multiplicity of component-wise positive solutions for the associated nonlinear systems of second-order ordinary differential equations under the mixed boundary value conditions.
资助项目NSF of China[11325107] ; NSF of China[11471148]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000475504300012
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/35149]  
专题数学所
通讯作者Feng, Zhaosheng
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
3.Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USA
推荐引用方式
GB/T 7714		 Cheng, Xiyou,Feng, Zhaosheng,Zhang, Zhitao. MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2020,19(1):221-240.
APA Cheng, Xiyou,Feng, Zhaosheng,&Zhang, Zhitao.(2020).MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,19(1),221-240.
MLA Cheng, Xiyou,et al."MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 19.1(2020):221-240.

入库方式： OAI收割

来源：数学与系统科学研究院

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