Some Properties Of Solutions Of Several Kinds Of Complex Linear Differential Equations

In this paper, the value distribution theory and its basic methods are widely used, the properties of several kind of solution of differential equation are well researched. The article is divided into the following four chapters.Chapter 1:It mainly reviews the status of research on the theory of differenti-al equation of complex oscillation, as well as the research background of this article. It also describes relevant notation, definitions and the relevant prior knowledge.Chapter 2:This chapter deals with the higher order linear differential equations ,where Q(z) is a transcendental entire function of j＝1 finite order, and Pj(e-z)are non-constant polynomials, then we will find when giving some conditions on Q(z) which can guarantee that every non-rivial solution of the equation is infinite order, the growth of solutions to the corresponding non-homogene-ous differential equation is discussed.Chapter 3:We investigate the relationship between solutions and their derivatives of the differential equation where A(z), B(z)((?)0) and F(z)((?)O)are meromorphic functions of finite interated p-order in the unit disc We obtain some oscillation theorems for is a solution and (?)(z) is a small function.Chapter 4:We investigate the [p, q]-order of solution of second order linear differential equation vhere A0(z),A1,(z)and F(z)are analytic functions in the unit disc. We obtain several theorems about the growth and oscillation of solutions of differential equations.