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Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems

Abstract

We establish the existence of multiple positive solutions for a singular nonlinear third-order periodic boundary value problem. We are mainly interested in the semipositone case. The proof relies on a nonlinear alternative principle of Leray-Schauder, together with a truncation technique.

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Correspondence to Yigang Sun.

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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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Sun, Y. Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems. Bound Value Probl 2008, 574842 (2008). https://doi.org/10.1155/2008/574842

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Periodic Solution
  • Functional Equation