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Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives

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Listed:
  • Fei Yang
  • Yuanjian Lin
  • Juan Zhang
  • Quanfu Lou
  • Yansheng Liu

Abstract

In this paper, by the use of a new fixed point theorem and the Green function of BVPs, the existence of at least one positive solution for the third-order boundary value problem with the integral boundary conditions is considered,where there is a nonnegative continuous function. Finally, an example which to illustrate the main conclusions of this paper is given.

Suggested Citation

  • Fei Yang & Yuanjian Lin & Juan Zhang & Quanfu Lou & Yansheng Liu, 2022. "Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives," Journal of Applied Mathematics, Hindawi, vol. 2022, pages 1-6, March.
    • Handle: RePEc:hin:jnljam:8411318
    DOI: 10.1155/2022/8411318
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