Boundary value problems for higher order nonlinear ordinary differential systems

Abstract

In this paper we study two-point boundary value problems for systems of nonlinear differential equations of order greater than or equal to two. So far the results concerning this class of problems are rare. A new Nagumo condition for systems of higher order differential equations is presented, which is more convenient for applications. Under this new Nagumo condition some existence theorems of solutions for these boundary value problems are proved.