On a solvable class of product-type systems of difference equations
Keyword(s):
It is shown that the following class of systems of difference equations zn+1 = ?zanwbn, wn+1 = ?wcnzdn-2, n ? N0, where a,b,c,d ? Z, ?, ?, z-2, z-1, z0,w0 ? C \ {0}, is solvable, continuing our investigation of classification of solvable product-type systems with two dependent variables. We present closed form formulas for solutions to the systems in all the cases. In the main case, when bd ? 0, a detailed investigation of the form of the solutions is presented in terms of the zeros of an associated polynomial whose coefficients depend on some of the parameters of the system.
Keyword(s):
Keyword(s):
2015 ◽
Vol 2015
(1)
◽
Keyword(s):
2016 ◽
Vol 8
(1)
◽
pp. 29-51
◽
Keyword(s):
Keyword(s):
Keyword(s):