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Successive Iteration of Positive Solutions for Fourth-Order Two-Point Boundary Value Problems

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  • Yongping Sun
  • Xiaoping Zhang
  • Min Zhao

Abstract

We are concerned with a fourth-order two-point boundary value problem. We prove the existence of positive solutions and establish iterative schemes for approximating the solutions. The interesting point of our method is that the nonlinear term is involved with all lower-order derivatives of unknown function, and the iterative scheme starts off with a known cubic function or the zero function. Finally we give two examples to verify the effectiveness of the main results.

Suggested Citation

  • Yongping Sun & Xiaoping Zhang & Min Zhao, 2013. "Successive Iteration of Positive Solutions for Fourth-Order Two-Point Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, July.
    • Handle: RePEc:hin:jnlaaa:621315
    DOI: 10.1155/2013/621315
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