Asymptotic Points For A Class Of Nonlinear Ordinary Differential Equations

This paper is concerned with the asymptotic behavior of solutions of a class of second-order nonlinear differential equations locally near infinity. These equations are often used for mathematical modelling of various physical,chemical and biological systems and attracts constant interest of researcher. A great deal of papers published during the last three decades are concerned with local and global existence of solutions of them. Using the Schauder-Tikhonov fixed point theorem,the existence of solutions with different asymptotic representations at infinity is establishd.In chapter 1 we introduce an application of asymptotic integration of nonlinear differential equation. In chapter 2 we enumerate some basic knowledge we will use late. In chapter 3 we review the background, development, main methods and the existed results in this filed. In chapter 4 we present the main result of this paper and prove them in the chapter 5.