| In this thesis, we make use of the value distribution theory of meromorphic functions to study the growth of solutions of several classes of linear differential equations, the exponent of convergence of zeros. This thesis is made up of three chapters.In chapter 1, we mainly introduce some basic definitions and research background about the value distribution theory of meromorphic functions.In chapter 2, we investigate the growth of solutions of the complex oscillation of second order linear differential equationsf + B(z)f + A(z)f = F(z),where A(z), B(z), F(z) are analytic coefficients with σ(A) = σ(B) = 1, σ(F) < 1.In chapter 3, we study the complex oscillation of linear differential equationsf(k)+ Ak-1(z)f(k-1)+ · · · + A0(z)f = F(z),where Aj(z)(j = 0, 1, · · ·, k- 1), F(z) are analytic coefficients, and obtain some results. |
