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Positive solutions for semipositone (k,n-k) boundary value problems
He, XM; Cao, DM; Ge, WG
2002-09-01
Source PublicationINDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
ISSN0019-5588
Volume33Issue:9Pages:1361-1371
AbstractFor 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.
Keywordconjugate boundary value problem cone positive solutions Krasnoselskii's fixed point theorem
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000179694800005
PublisherINDIAN NAT SCI ACAD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17116
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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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