POSITIVE SOLUTIONS OF SOME NONLOCAL BOUNDARY VALUE PROBLEMS

POSITIVE SOLUTIONS OF SOME NONLOCAL BOUNDARY VALUE PROBLEMS

We establish the existence of positive solutions of some m ‐point boundary value problems under weaker assumptions than previously employed. In particular, we do not require all the parameters occurring in the boundary conditions to be positive. Our results allow more general behaviour for the nonli...

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Bibliographic Details
Published in:Abstract and Applied Analysis Vol. 2003; no. 18; pp. 1047 - 1060
Main Authors: Infante, Gennaro, Webb, J. R. L.
Format: Journal Article
Language:English
Published: Hindawi Limiteds 01-01-2003
Hindawi Publishing Corporation
Hindawi Limited
Subjects:
34B10
34B18
47H10
47H30
Online Access:Get full text
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Description
Summary:We establish the existence of positive solutions of some m ‐point boundary value problems under weaker assumptions than previously employed. In particular, we do not require all the parameters occurring in the boundary conditions to be positive. Our results allow more general behaviour for the nonlinear term than being either sub‐ or superlinear.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1085-3375
1687-0409
DOI:10.1155/S1085337503301034