Difference Analogue Of Second Main Theorem For Holomorphic Curves And Properties Of Solutions For Fermat Type Differential-Difference Equations

The Second Main Theorem plays an important role in Nevanlinna Value Distribution Theory,which is used for solving the problem of complex differential equations and difference equations.What is more,the Second Main Theorem can be used to estimate the existence and uniqueness of differential equations and difference equations.Therefore,the form of Second Main Theorem in Nevanlinna Theory is very important.We arrage this thesis as follows.In chapter 1.We introduce research backgrounds and main works of this thesis.In chapter 2.We introduce the basic knowledge of the Nevanlinna theory and using relevant knowledge in this thesis.In chapter 3.We sucessfully extend results of difference form of Second Main Theorem for sharing hyperplanes to results and its relative of difference form of Second Main Theorem for sharing hypersurfaces by using matrix theory and linear equations.In chapter 4.We obtain some results about the solution value distribution of Fermat type differential-difference equation.