On The Theory Of Complex Oscillation Of The Solutions Of Some Linear Differential Equations

In this thesis,we study the exponents of convergence of the zero - sequence and the hyper -order of solutions of linear differential equations.In chapter 2,we investigate the problem on the orders of growth and the convergences of the zero - sequence of the solutions of second linear differential equations with entire coefficients to the functions with smaller order of growth.In chapter 3,we investigate the hyper-orders of solutions of one kind of higher order linear differential equation with meromorphic coefficients. Under some conditions,we obtain the precise estimates of the orders of growth and of the exponents of convergence of the zero - sequence of the solutions of the above equations.