Eventually periodic solutions of a max-type equation
نویسندگان
چکیده
منابع مشابه
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...
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We describe all the solutions of a rational difference equation from Putnam’s mathematical competition, which are eventually equal to its positive equilibrium x\over \tilda=1. As a consequence we give a new, elegant and short proof of the fact that the equation has a positive solution which is not eventually equal to one. Moreover, we show that almost all solutions of the equation are not event...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2013
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2012.10.010