Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 12040, 12 pages
doi:10.1155/JIA/2006/12040

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

Abstract

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.