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

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...

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Bibliographic Details
Published in:Boundary value problems 2008-01, Vol.2008 (1), p.723828
Main Authors: Gao, Yunzhu, Pei, Minghe
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Research Article
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Summary: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.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1155/2008/723828