Research On The Relative Growth Properties Of Solutions For A Class Of Second-Order Complex Linear Differential Equations

In this thesis,on the basis Nevanlinna theory of entire functions and meromorphic functions,we use the value distribution theory and the concept of relative growth to investigate the relative growth of solutions of a class of second-order homogeneous and non-homogeneous linear differential equations.In chapter 1,we introduce the basic knowledge of Nevanlinna value distribution theory.At the same time,we give some propositions needed in this thesis.In chapter 2,we investigate the effect of the relative order of the coefficients and the relative lower order of the coefficients of the solution of the second-order homogeneous linear differential equation on the relative growth of the solutions of the equation under certain conditions.We also investigate the relative hyper order and relative hyper lower order of the solutions of the equation.In chapter 3,we investigate the effect of the relative growth of the coefficients of the second order non-homogeneous linear differential equation on the relative growth of the solutions of the equation under certain conditions.