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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Veröffentlicht in:	Boundary value problems 2008-01, Vol.2008 (1), p.723828
Hauptverfasser:	Gao, Yunzhu, Pei, Minghe
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Approximations and Expansions Difference and Functional Equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Research Article
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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