The Order Of Growth And The Exponent Of Convergence Of The Solution Of Linear Differential Equations

In this thesis,we investigated the order of growth and the exponent of convergence of the solution of linear differential equations.In chapter 2,we discuss the problem of the relationship between the solution of non - homogeneous linear differential and small function. In chapter 3,we investigated the relationship between exponent of convergence to zero - sequence of the solution of certain homogeneous linear differential equation f(k) + A(z)f = 0 and the order of growth of A (z). In chapter 4,we researched the influence of the relative value of the coefficients of first terms of p1,p2 to the exponent of convergence to zero - sequence of solution of second order linear differential equation f+ (Q1eP1 + Q2ep2 + )f= 0. Moreover,we genalized the results to some more general equations.