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

Shengli Xie1 and Jiang Zhu2

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

Recommended by P. Joseph Mckenna

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.