Dynamical behavior of a system of second-order nonlinear difference equations (Q274805)

Summary: This paper is concerned with local stability, oscillatory character of positive solutions to the system of the two nonlinear difference equations \(x_{n + 1} = A + x_{n - 1}^p / y_n^p \text{ and } y_{n + 1} = A + y_{n - 1}^p / x_n^p\), \(n = 0,1, \ldots\), where \(A \in(0, \infty)\), \(p \in [1, \infty)\), \(x_i \in(0, \infty)\), and \(y_i \in(0, \infty)\), \(i = - 1,0\).