Asymptotic Behavior of Solutions for a Class of Difference EquationsU

where k is a positive integer, F and G are continuous, and F is increasing on R. We show that when F y.GG y. for ygR, every solution of 1. tends to either a constant or y` as nª`; while when F y.FG y. for ygR, every solution of 1. tends to either a constant or ` as nª`. In particular, if F y.ʹG y. for ygR, then every solution of 1. tends to a constant as nª`.