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  • Research Article
  • Open Access

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

Boundary Value Problems20082008:723828

https://doi.org/10.1155/2008/723828

  • Received: 13 July 2007
  • Accepted: 29 January 2008
  • Published:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
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Authors’ Affiliations

(1)
Department of Mathematics, Beihua University, Jilin City, 132013, China

Copyright

© Y. Gao and M. Pei. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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