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Positive solutions for semipositone (k,n-k) boundary value problems
He, XM; Cao, DM; Ge, WG
2002-09-01
发表期刊INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
ISSN0019-5588
卷号33期号:9页码:1361-1371
摘要For the (k, n - k) conjugate boundary value problem (-1)(n-k) u((n)) = lambdaf (t, u), 0 < t < 1, u((i)) (0) = 0, 0 less than or equal to i less than or equal to k - 1. u((j)) (1) = 0, 0 less than or equal to j less than or equal to n - k - 1, where lambda > 0, we shall show the existence of positive solutions for lambda on a suitable interval by means of a fixed point theorem in a cone, The existence results obtained improve some previous results in the recent literature.
关键词conjugate boundary value problem cone positive solutions Krasnoselskii's fixed point theorem
语种英语
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:000179694800005
出版者INDIAN NAT SCI ACAD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/17116
专题应用数学研究所
作者单位1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
2.Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
推荐引用方式
GB/T 7714
He, XM,Cao, DM,Ge, WG. Positive solutions for semipositone (k,n-k) boundary value problems[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS,2002,33(9):1361-1371.
APA He, XM,Cao, DM,&Ge, WG.(2002).Positive solutions for semipositone (k,n-k) boundary value problems.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS,33(9),1361-1371.
MLA He, XM,et al."Positive solutions for semipositone (k,n-k) boundary value problems".INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 33.9(2002):1361-1371.
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