Boundary Value Problems
Volume 2007 (2007), Article ID 76493, 12 pages
doi:10.1155/2007/76493
Research Article
Positive Solutions of Boundary Value Problems for System of Nonlinear Fourth-Order Differential Equations
1Department of Mathematics, Suzhou College, Suzhou 234000, China
2School of Mathematics Science, Xuzhou Normal University, Xuzhou 221116, China
Received 23 March 2006; Revised 8 October 2006; Accepted 5 December 2006
Academic Editor: P. Joseph Mckenna
Copyright © 2007 Shengli Xie and Jiang Zhu. 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
Some existence theorems of the positive solutions and the
multiple positive solutions for singular and nonsingular systems of nonlinear
fourth-order boundary value problems are proved by using topological degree
theory and cone theory.