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Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem

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  • Yongping Sun
  • Qian Sun
  • Xiaoping Zhang

Abstract

This paper is concerned with the existence and nonexistence of positive solutions for a nonlinear higher-order three-point boundary value problem. The existence results are obtained by applying a fixed point theorem of cone expansion and compression of functional type due to Avery, Henderson, and O’Regan.

Suggested Citation

  • Yongping Sun & Qian Sun & Xiaoping Zhang, 2014. "Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, January.
    • Handle: RePEc:hin:jnlaaa:513051
    DOI: 10.1155/2014/513051
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    Cited by:

    1. Pedro Almenar Belenguer & Lucas Jódar, 2020. "The Sign of the Green Function of an n -th Order Linear Boundary Value Problem," Mathematics, MDPI, vol. 8(5), pages 1-22, April.

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