Global behavior of a higher-order rational difference equation. (English) Zbl 1140.39312
Summary: We investigate in this paper the global behavior of the following difference equation: , under appropriate assumptions, where , , with , and the initial conditions . We prove that the unique equilibrium of that equation is globally asymptotically stable.
|39A11||Stability of difference equations (MSC2000)|
|39A20||Generalized difference equations|