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Solvability for Two Classes of Higher-Order Multi-Point Boundary Value Problems at Resonance

Abstract

Using the theory of coincidence degree, we establish existence results of positive solutions for higher-order multi-point boundary value problems at resonance for ordinary differential equation , with one of the following boundary conditions: , and , , where is a continuous function, , all the have not the same sign. We also give some examples to demonstrate our results.

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Correspondence to Minghe Pei.

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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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Gao, Y., Pei, M. Solvability for Two Classes of Higher-Order Multi-Point Boundary Value Problems at Resonance. Bound Value Probl 2008, 723828 (2008). https://doi.org/10.1155/2008/723828

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Full Article