Some boundedness results for systems of two rational difference equations

Gabriel Lugo, Frank J. Palladino

We study kth order systems of two rational difference equations $$x_n=\frac{α+\sum^{k}_{i=1}β_{i}x_{n-i} + \sum^{k}_{i=1}γ_{i}y_{n-i}}{A+\sum^{k}_{j=1}B_{j}x_{n-j} + \sum^{k}_{j=1}…