The Order Of Growth And The Exponent Of Convergence Of The Solutions Of Some Linear Differential Equations

In this thesis, we investigate the hyper-order and the hyper-exponent of convergence of the distinct zeros of solutions of linear differential equations.In chapter 2, we investigate the hyper-order and the hyper-exponent of convergence of the distinct zeros of solutions of higher order non-homogeneous linear differential equations with meromorphic coefficients.In chapter 3,we investigate the problem on the hyper-order of solutions of a kind of higher order linear differential equations.In chapter 4,we investigate the hyper-order of solutions of higher order linear differential equations f(k)+hlepf'+h2eQf = 0 . Under some conditions, we obtain the precise estimates of the hyper- order and the hyper-exponent of convergence of the distinct zeros of solutions of the above equations.