Boundary Value Problems
Volume 2009 (2009), Article ID 791548, 17 pages
doi:10.1155/2009/791548
Research Article

Existence and Location Results for Fully Nonlinear Boundary Value Problem of nth-Order Nonlinear System

Li Sun,1 Mingru Zhou,1 and Guangwa Wang1,2

1Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China
2Department of Mathematics, Suzhou University, Suzhou 215006, China

Received 16 August 2008; Revised 10 December 2008; Accepted 21 January 2009

Academic Editor: Ivan T. Kiguradze

Copyright © 2009 Li Sun 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.

Abstract

By appropriate bounding function pair and modified functions, using the theory of differential inequalities, this paper presents the existence and location criteria of solutions for the system of general nth-order differential equations with nonlinear boundary conditions. We give an example showing that the results are sharp. Our results extend many existing results.