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Journal of Inequalities and Applications

Erschienen in:

Open Access 01.12.2006 | Research Article

Existence and multiplicity of solutions for some three-point nonlinear boundary value problems

verfasst von: Xu Xian, Donal O'Regan

Erschienen in: Journal of Inequalities and Applications | Ausgabe 1/2006

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Abstract

We study the existence and multiplicity of solutions for the three-point nonlinear boundary value problem

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;

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, where

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and

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are assumed to be positive and have some singularities, and

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is a positive parameter. Under certain conditions, we prove that there exists

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such that the three-point nonlinear boundary value problem has at least two positive solutions for

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, at least one solution for

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, and no solution for

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Vorheriger Artikel Existence results for nonlocal and nonsmooth hemivariational inequalities

Nächster Artikel Extension and generalization inequalities involving the Khatri-Rao product of several positive matrices

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Titel: Existence and multiplicity of solutions for some three-point nonlinear boundary value problems
verfasst von: Xu Xian
Donal O'Regan
Publikationsdatum: 01.12.2006
Verlag: Springer International Publishing
Erschienen in: Journal of Inequalities and Applications / Ausgabe 1/2006
Elektronische ISSN: 1029-242X
DOI: https://doi.org/10.1155/JIA/2006/79653

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