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Article
Double Positive Solutions of a Three-point Boundary Value Problem for the One-dimensional P-Laplacian
Applied Mathematics Letters
  • Xiaoming He, Missouri University of Science and Technology
Abstract
We study the existence of positive solutions for the equation (φp(u′))′ + e(t) ƒ (u) = 0, where, φp(υ) ≔ |υ|p−2υ, p > 1, subject to nonlinear three-point boundary conditions. We show the existence of at least two positive solutions by using a three-functionals fixed-point theorem in a cone.
Department(s)
Mathematics and Statistics
Keywords and Phrases
  • P-Laplacian operator,
  • positive solution,
  • fixed points,
  • cone
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2004 Elsevier, All rights reserved.
Publication Date
1-1-2004
Citation Information
Xiaoming He. "Double Positive Solutions of a Three-point Boundary Value Problem for the One-dimensional P-Laplacian" Applied Mathematics Letters (2004)
Available at: http://works.bepress.com/xiaoming-he/24/