On the reducibility of countable systems of linear difference equations

• Datum: 1995
• Hauptverfasser: Samoilenko, A. M., Teplinsky, Yu. V., Самойленко, А. М., Теплинский, Ю. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1995
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5544
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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-dim...