Properties Of Complex Oscillation Of The Solutions Of A Class Of Linear Differential Equations

In this thesis,we investigate the problem on the properties of complex oscillation of solutions of linear differential equations.In chapter 2,we study the orders of growth and the exponents of the zero-sequence of the solutions of a class of higher order linear differential equations with entire coefficients.Two theorems in chapter 2 get some familiar results and improve original results for equations with more general coefficients.In chapter 3,we investigate the growth of solutions of certain second order-linear differential equations.In Theorems 1, 2. we consider the equations with the general coefficients and obtain the precise estimates of hyper order of the solutions of the equations.In Theorems 3 , 4,we estimate the growth of the solutions of the equations and improve the results of Theorems 1 .2 when the orders of growth of the additional coefficients of the equations are n.In Theorems 5 , G. we study the equations with meromorphic coefficients. Futherinore,under some conditions.we obtain the precise estimates of hyper order of the meromorphic solutions of the equations.