The Growth And Zeros Of Solutions Of Several Kinds Of Linear(Differential)Difference Equations

In this paper,We use some basic knowledge of the value distribution theory and its difference analogues to investigate the growth and zeros of solutions of homogeneous and non-homogeneous complex linear difference equations,and the logarithmic order of meromorphic solutions of complex linear(differential)q-shift difference equations.This paper is divided into three chapters according to the content.In Chapter 1,we introduce some basic definitions,theory and common sym-bols of Nevanlinna value distribution theory.In Chapter 2,we study the several kinds of the homogeneous and non-homogeneous complex linear difference equations,when there exists only one coefficient having the maximal order,and the above coefficient satisfies certain conditions.We obtain some results of the growth and zeros of solutions of the complex linear difference equations.Some results are improved and generalized.In Chapter 3,we extend the contents of chapter 2 to the homogeneous and non-homogeneous complex linear(differential)q-shift difference equation,when the coefficient of the equation having a finite logarithmic order and satisfies cer-tain conditions,we study the logarithmic growth order of meromorphic solutions of equations.Then we obtain some results.