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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Veröffentlicht in:Abstract and Applied Analysis 2003-01, Vol.2003 (18), p.1047-1060
Hauptverfasser: Infante, Gennaro, Webb, J. R. L.
Format: Artikel
Sprache:eng
Schlagworte:
34B10
34B18
47H10
47H30
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/S1085337503301034