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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

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