The Existence Of Positive Solutions Of Singular Boundary Value Problems For Some Kinds Of Ordinary Differential Systems

This paper mainly considered the existence of positive solutions of a singular boundary value problems of second-order three-point differential systems and the existence of positive solutions of singular boundary value problems for two kinds of second order three dimension systems of differential equations.The thesis is composed of the following chapters:Chapter 1 mainly introduces the general situation of domestic and foreign research, the aim, the method and results of the research, as well as some preparaory knowledge.Chapter 2, using a special fixed point theorem, investigated the following singular boundary value problems of second order three point differential systems problems under certain conditions:Finally two examples are developed to demonstrate our main results.Chapter 3, applying the fixd point theorem and approximation to study the following singular boundary value problems of second order three-dimensional differential systems:where we obtained the existence of positive solutions under certain conditions and finally two examples are developed to demonstrate our main results.On the basis of chapter 3, chapter 4 using the fixed point theorem of cone expasion and compression and approximation to investigated the existence of the singular BVPs for second order three dimensional differential systems under certain special conditions: and then two examples are developed to demonstrate the main result.