Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Copyright © 2010 Jian-Ping Sun and Fan-Xia Jin. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.