Abstract
In this paper, we investigate the local stability, global stability, and boundedness of solutions of the recursive sequence
Sn+1 - Sn-p (alpha + bS(n-q)/cS(n-q) + dS(n-r)),
where cS(-q+k) not equal -dS(-r+k) for k = 0; 1;..., min(q, r), alpha, b, c is an element of (0, infinity) and d is an element of (0, infinity), p > q > r >= 0 with the initial values S(-)p; S-p+1;...; S-q; S-q+1;..., S-r; S-r+1;..., S-1, and S-0 is an element of (0, infinity). Some numerical examples will be given to illustrate our results.