In this thesis, we investigate the problem on the properties of growth of solutions of higher order linear differential equations.In chapter 2, we study the further results on the properties of growth of solutions of one kind of higher order linear differential equations with entire coefficients, when there is one coefficient that is main dominating to the properties of the solutions, we obtain precise estimate of hyper - order of solutions of equations either homogeneous or non - homogeneous and relations between the solutions and functions with smaller growth.In chapter 3, we study the orders of growth of the solutions of higher order linear differential equation with meromorphic coefficients = 0.In chapter 4 , we study the exponents of convergence of the zero - sequence and the orders of growth of the meromorphic solutions of higher order linear differential equation...
|