Title: Multiple positive solutions of three-point boundary value problem for differential equations with an advanced argument

Authors: Chengbo Zhai, Lingling Zhang, Guodong Han

Addresses: School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, PR China. ' Department of Mathematics, Taiyuan University of Technology, Taiyuan, 030024 Shanxi, PR China. ' College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, Shaanxi, PR China

Abstract: In this paper, we investigate the existence of multiple positive solutions to three-point boundary value problem for second order differential equations with an advanced argument. The methods employed are the Leggett-Williams fixed-point theorems. The results extend and improve the corresponding results. As an application, we also give an example to demonstrate our result.

Keywords: three-point boundary value problems; positive solution; cone; concave functional; differential equations; Leggett-Williams fixed-point theorems.

DOI: 10.1504/IJDSDE.2009.031111

International Journal of Dynamical Systems and Differential Equations, 2009 Vol.2 No.3/4, pp.313 - 323

Published online: 20 Jan 2010 *

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