On a Max-Type Difference Equation

On a max-type and a min-type difference equation

This note shows that every positive solution to the following third order non–autonomous max-type difference equation

Research Article On a Max-Type Difference Equation

On the Global Attractivity of a Max-Type Difference Equation

On the Max-Type Difference Equation xn+1=max{A/xn,xn-3}

The study of max-type difference equations attracted recently a considerable attention, see, for example, 1–27 , and the references listed therein. This type of difference equations stems from, for example, certain models in automatic control theory see 28 . In the beginning of the study of these equations experts have been focused on the investigation of the behavior of some particular cases o...

Eventually Periodic Solutions of a Max-Type Difference Equation

We study the following max-type difference equation xn = max{A(n)/x(n-r), x(n-k)}, n = 1,2,…, where {A(n)} n=1 (+∞) is a periodic sequence with period p and k, r ∈ {1,2,…} with gcd(k, r) = 1 and k ≠ r, and the initial conditions x(1-d), x(2-d),…, x 0 are real numbers with d = max{r, k}. We show that if p = 1 (or p ≥ 2 and k is odd), then every well-defined solution of this equation is eventuall...