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Existence of Positive Solutions for Fourth-Order Three-Point Boundary Value Problems

Abstract

We are concerned with the nonlinear fourth-order three-point boundary value problem,,,,. By using Krasnoselskii's fixed point theorem in a cone, we get some existence results of positive solutions.

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Correspondence to Chuanzhi Bai.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Bai, C. Existence of Positive Solutions for Fourth-Order Three-Point Boundary Value Problems. Bound Value Probl 2007, 068758 (2008). https://doi.org/10.1155/2007/68758

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Point Theorem