The Existence Of The Solutions Of A Class Of Boundary Value Problems For Systems Of Second Order Ordinary Differential Equations

This dissertation is devoted to the existence of solutions of a class of Sturm-Liouville boundary value problems for systems of ordinary differential equations.The dissertation contains three parts: In Chapter 1, the basic application background ,progese of the study and advanced studies, the main idea of this dissertation and the prepare knowledge are introduced. In Chapter 2,I consider the Sturm-Liouville boundary value problems for systems of second order ordinary differential equations:whereandI transfer the equations into the integral equation and apply the topological method and the cone theory to obtain the existence of positive solutions of the boundary value problems.In Chapter 3, I consider the Sturm-Liouville boundary value problems for systems of nonlinear second order ordinary differential equations:is the real Banach space.I also transfer the equations into the integral equation equh alently and apply the Green function to obtain the method of getting the form of the solutions.