Title

Triple Solutions for Second-order Three-point Boundary Value Problems

Abstract

We establish the existence of at least three positive solutions to the second-order three-point boundary value problem, u″ + f(t, u) = 0, u(0) = 0, αu(η) = u(1), where η: 0 lt; η < 1, 0 < α < 1/η, andf: [0, 1] × [0, ∞) → [0, ∞) is continuous. We accomplish this by making growth assumptions on f which can apply to many more cases than the sublinear and superlinear ones discussed in recent works.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Three-point boundary value problem; multiple solutions; fixed points; cone

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 Elsevier, All rights reserved.


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