On the reducibility of countable systems of linear difference equations
We solve the problem of reducibility of a countable linear system of standard difference equations with unbounded right-hand sides by the method of construction of iterations with accelerated convergence. For systems of this type with bounded right-hand sides, this problem is reduced to a finite-dimensional case.
English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 11, pp 1750-1759.
Citation Example: Samoilenko A. M., Teplinsky Yu. V. On the reducibility of countable systems of linear difference equations // Ukr. Mat. Zh. - 1995. - 47, № 11. - pp. 1533–1541.