Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 12040, 12 pages

Differential inequalities method to nth-order boundary value problems

Guangwa Wang, Mingru Zhou, and Li Sun

Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China

Received 31 March 2005; Revised 18 October 2005; Accepted 7 December 2005

Copyright © 2006 Guangwa Wang et al. 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.


By the theory of differential inequality, bounding function method, and the theory of topological degree, this paper presents the existence criterions of solutions for the general nth-order differential equations under nonlinear boundary conditions, and extends many existing results.