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

doi:10.3934/cpaa.2020012

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	MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS
	Cheng, Xiyou 1; Feng, Zhaosheng 2; Zhang, Zhitao3
	2020
发表期刊	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
ISSN	1534-0392
卷号	19 期号:1 页码:221-240
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.
关键词	Positive solution Hammerstein integral equations weighted functions fixed point index Dirichlet boundary condition
DOI	10.3934/cpaa.2020012
语种	英语
资助项目	NSF of China[11325107] ; NSF of China[11471148]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000475504300012
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35150
专题	数学所
通讯作者	Feng, Zhaosheng
作者单位	1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China 2.Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
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.