Some Studies On Oscillation Properties Of Soiutions Of Complex Linear Differential Equations

In this paper,we make use of the knowledge of Nevanlinna Theory to investigate the complex oscillation properties of solutions of second order or high order linear differential equations.This thesis is made up of three chapters.In chapter 1,we mainly introduce some basic definitions,properties and usual notations of entire functions and meromorphic functions.In chapter 2,the author mainly makes use of the minimum modulus of entire function and meromorphic function of [p,q]-order to study the growth of solutions of second order linear differential equations with meromorphic coefficients of [p,q]-order,we obtain some results which improve and generalize some previous resluts.In chapter 3,the author mainly investigates the existence of subnormal solutions of second order complex linear differential equations,we obtain some results which improve and enrich some previous resluts.In chapter 4,the author mainly gives the summary and prospect of this paper.