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Solvability of Three-Point Boundary Value Problems at Resonance with a -Laplacian on Finite and Infinite Intervals

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  • Hairong Lian
  • Patricia J. Y. Wong
  • Shu Yang

Abstract

Three-point boundary value problems of second-order differential equation with a p -Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly.

Suggested Citation

  • Hairong Lian & Patricia J. Y. Wong & Shu Yang, 2012. "Solvability of Three-Point Boundary Value Problems at Resonance with a -Laplacian on Finite and Infinite Intervals," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, December.
    • Handle: RePEc:hin:jnlaaa:658010
    DOI: 10.1155/2012/658010
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