On solutions of the difference equation $x_{n+1}=x_{n-3}/(-1+x_{n}x_{n-1}x_{n-2}x_{n-3})$
نویسندگان
چکیده
منابع مشابه
On the nature of solutions of the difference equation $mathbf{x_{n+1}=x_{n}x_{n-3}-1}$
We investigate the long-term behavior of solutions of the difference equation[ x_{n+1}=x_{n}x_{n-3}-1 ,, n=0 ,, 1 ,, ldots ,, ]noindent where the initial conditions $x_{-3} ,, x_{-2} ,, x_{-1} ,, x_{0}$ are real numbers. In particular, we look at the periodicity and asymptotic periodicity of solutions, as well as the existence of unbounded solutions.
متن کاملon the nature of solutions of the difference equation $mathbf{x_{n+1}=x_{n}x_{n-3}-1}$
we investigate the long-term behavior of solutions of the difference equation[ x_{n+1}=x_{n}x_{n-3}-1 ,, n=0 ,, 1 ,, ldots ,, ]noindent where the initial conditions $x_{-3} ,, x_{-2} ,, x_{-1} ,, x_{0}$ are real numbers. in particular, we look at the periodicity and asymptotic periodicity of solutions, as well as the existence of unbounded solutions.
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2007
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2007.134123