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Positive solutions for the nonhomogeneous three-point boundary value problem of second-order differential equations

โœ Scribed by Haibo Chen

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
214 KB
Volume
45
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

This paper is concerned with the existence of positive solutions to the nonhomogeneous three-point boundary value problem of the second-order ordinary differential equation

satisfying that there exists x 0 โˆˆ [0, 1] such that h(x 0 ) > 0, and f โˆˆ C([0, โˆž), [0, โˆž)). By applying Krasnosel'skii's fixed-point theorem in Banach spaces, some sufficient conditions guaranteeing the existence of at least one positive solution if f is either superlinear or sublinear are established for the above boundary value problem. The results obtained extend and complement some known results.

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