Using differential characteristic set method to accurately solve a class of nonlinear rational difference equations
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.
difference equationcharacteristic set methodnonlinearzero point set