On the equation n(n+d)⋅⋅⋅(n+(i0-1)d)(n+(i0+1)d)⋅⋅⋅(n+(k-1)d)=ylwith 0<i0<k-1
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.
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Some exact solutions of the (2+1)-dimensional integrable classical continuous isotropic Heisenberg spin chain (the M-XX equation) are obtained by using Hirota's method. These solutions are characterized by an integer topological charge.
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2007
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa129-1-1