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Article
Triple Solutions for Second-order Three-point Boundary Value Problems
Journal of Mathematical Analysis and Applications
  • Xiaoming He, Missouri University of Science and Technology
  • Weigao Ge
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.
Publication Date
1-1-2002
Citation Information
Xiaoming He and Weigao Ge. "Triple Solutions for Second-order Three-point Boundary Value Problems" Journal of Mathematical Analysis and Applications (2002)
Available at: http://works.bepress.com/xiaoming-he/35/