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

Existence and location results for fully nonlinear boundary value problem of $n$th-order nonlinear system

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 $n$th-order differential equations with nonlinear boundary conditions. We give an example showing that the results are sharp. Our results extend many existing results.