## A conjecture by G. Ladas.(English)Zbl 0902.39003

Summary: A sufficient condition for boundedness and persistence of the solutions of the following delay difference equation is obtained: $$x_{n+1}=A/x^p_n+B/x^q_{n-1}$$, $$n=0,1,\dots$$, where $$A,B,p,q,x_{-1},x_0\in(0,\infty)$$. A conjecture by G. Ladas [J. Difference Equ. Appl. 1, No. 4, 413-419 (1995; Zbl 0853.39002)] is proved.