【摘要】 运用差分特征列方法来求解一组有理差分方程，即一类非线性差分方程。首先介绍了差分方程及特征列方法的理论知识，进而运用差分特征列方法对一类非线性差分方程组进行化简，通过有效化、判断一致性、可约分解等步骤，最终根据整序定理和零点分解定理得到这类非线性零点集。更多还原

【Abstract】 The differential characteristic set method has been used to solve a set of rational difference equations, namely a class of non-linear difference equations. The theoretical knowledge of difference equations and characteristic set methods is introduced firstly. Then, the difference characteristic set method is applied to simplify a class of nonlinear difference equation systems. Through steps such as effectiveness, consistency judgment and reducible decomposition, the zero point set based on the whole order theorem and zero decomposition theorem is finally obtained.更多还原