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Positive Solutions of a Third-Order Three-Point BVP with Sign-Changing Green’s Function

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  • Li-Juan Gao
  • Jian-Ping Sun

Abstract

We are concerned with the following third-order three-point boundary value problem: and where and . Although the corresponding Green’s function is sign-changing, we still obtain the existence of at least two positive and decreasing solutions under some suitable conditions on by using the two-fixed-point theorem due to Avery and Henderson.

Suggested Citation

  • Li-Juan Gao & Jian-Ping Sun, 2014. "Positive Solutions of a Third-Order Three-Point BVP with Sign-Changing Green’s Function," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-6, September.
    • Handle: RePEc:hin:jnlmpe:406815
    DOI: 10.1155/2014/406815
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