Open Access Research Article

Existence of Solution and Positive Solution for a Nonlinear Third-Order -Point BVP

Jian-Ping Sun* and Fan-Xia Jin

Author Affiliations

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

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Fixed Point Theory and Applications 2010, 2010:126192 doi:10.1155/2010/126192

Published: 19 December 2010

Abstract

In this paper, we are concerned with the following nonlinear third-order -point boundary value problem: , , , , . Some existence criteria of solution and positive solution are established by using the Schauder fixed point theorem. An example is also included to illustrate the importance of the results obtained.