Solutions to a Three-Point Boundary Value Problem

By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the existence of multiple solutions to the three-point boundary value problem , ; ; , where , are constants, is a parameter, and , are given functions. New existence theorems are obtained, which extend and com...

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Veröffentlicht in:	Advances in difference equations 2011-01, Vol.2011 (1), p.1-20
Hauptverfasser:	Liang, Jin, Lv, Zhi-Wei
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Difference and Functional Equations Functional Analysis Mathematics Mathematics and Statistics Nonlinear Integrodifferential Difference Equations and Related Topics Ordinary Differential Equations Partial Differential Equations Research Article
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Beschreibung
Zusammenfassung:	By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the existence of multiple solutions to the three-point boundary value problem , ; ; , where , are constants, is a parameter, and , are given functions. New existence theorems are obtained, which extend and complement some existing results. Examples are also given to illustrate our results.
ISSN:	1687-1839 1687-1847
DOI:	10.1155/2011/894135