On the recursive sequence xn+1=A∏i=lkxn−2i−1B+C∏i=lk−1xn−2i

The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation xn+1=A∏i=lkxn−2i−1B+C∏i=lk−1xn−2i,n=0,1,… where A,B,CA,B,C are nonnegative real numbers and l,kl,k are nonnegative integers, l