Research On The Meromorphic Solutions Of A Type Of Systems Of Complex Difference Equations And Complex Partial Difference Equations On C~n

In this paper, mainly using the theory of Nevanlinna value distribution and the difference analogue of the lemma on the logarithmic derivative of meromorphic functions and the properties of values distribution of difference polynomial, we investigate the expression of meromorphic solutions of a type of systems of complex difference equations; we investigate the meromorphic solutions and its properties of a type of systems of complex partial difference equations onC~n. Further popularized and improved the conclusions of some of the previous references. At the same time, the examples also shows that some conclusions in this paper are better. This thesis is divided into three chapters:The first chapter, we mainly introduced the knowledge of Nevanlinna theory, some commonly used symbols and some basic theorems related to complex difference.The second chapter, we investigate the expression of meromorphic solutions of a type of complex difference equations, improve some results of I.Laine etc and the example shows that the conditions and the conclusions of the theorem in this chapter are percious.The third chapter, we investigate the meromorphic solutions and its properties of a type of systems of complex partial difference equations onC~n, and obtain some better results. The examples show that the conditions and the conclusions of theorem in this chapter are percious.