Oscillation Properties Of Solutions Of Several Kinds Of Complex Linear Differential Equations

In this paper,we use some basic knowledge of Nevanlinna value distribution theory to investigate the maximum number of linearly independent solutions for complex linear differential equations,we also study the complex oscillation properties of solutions of several classes of higher order linear differential equations with exponential coefficients.In chapter 1,we introduce some basic definitions and usual notations about entire functions and meromorphic functions,we also introduce some theorems about Nevanlinna value distribution theory.In chapter 2,when the coefficient type plays a controlling role in complex linear differential equations,we use standards order reduction process to investigate maximum number of linear independent solution of complex linear differential equations.In chapter 3,we study the growth and zeros of solutions of several kinds of higher order linear differential equations whose coefficients are exponential functions with the some order and different type and some results are obtained,which enrich and perfect some original results.