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Open Access Research Article

Existence of Positive Solution to Second-Order Three-Point BVPs on Time Scales

Jian-Ping Sun

Author Affiliations

Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

Boundary Value Problems 2009, 2009:685040  doi:10.1155/2009/685040

Published: 28 September 2009

Abstract

We are concerned with the following nonlinear second-order three-point boundary value problem on time scales , , , , where with and . A new representation of Green's function for the corresponding linear boundary value problem is obtained and some existence criteria of at least one positive solution for the above nonlinear boundary value problem are established by using the iterative method.