Summary: This paper studies the behavior of positive solutions to the following particular case of a difference equation by S. Stević
[Discrete Dyn. Nat. Soc. 2007, Article ID 40963, 9 p. (2007; Zbl 1151.39011
, and presents theoretically computable explicit lower and upper bounds for the positive solutions to this equation. Besides, a concrete example is given to show the computing approaches which are effective for small parameters. Some analogous results are also established for the corresponding Stević max-type difference equation.