Existence Of Positive Solutions Of Boundary Value Problems For Systems Of Ordinary Differential Equations

This thesis is concerned with the existence and multiplicity of positive solutions of boundary value problems for several classes of ordinary differential equations. The thesis contains five chapters.Chapter 1 introduces research backgrounds of boundary value problems of ordinary differential equations, public conditions, two theorems for fixed points, and main results.Boundary value problems of second, third, fourth, even order ordinary differential equations are considered in chapter 2-5, respectively. By using properties of Green functions, original problems are transferred into integral equations. By resorting to fixed point theorems, the existence and multiplicity of positive solutions are obtained under the suitable conditions. Examples are given to illustrate main results.