On a generalized max-type difference equation from automatic control theory

Abstract This paper studies the boundedness character of positive solutions of the following generalization of a max-type difference equation from automatic control theory (see, Mishkis, (1977) [18] and Popov (1966) [21] ) x n + 1 = max { A , x n p x n − 1 q x n − 2 r } , n ∈ N 0 , where the parameters A , p , q and r are positive numbers. In the study of the equation we also introduce a new method called Oachkatzlschwoif.

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