On the exponential dichotomy of linear difference equations

• Datum: 1996
• Hauptverfasser: Tkachenko, V. I., Ткаченко, В. І.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1996
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5226
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider a system of linear difference equationsx n+1 =A (n)xn in anm-dimensional real or complex spaceVsum with detA(n) = 0 for some or alln εZ. We study the exponential dichotomy of this system and prove that if the sequence {A(n)} is Poisson stable or recurrent, then the exponential dichotomy...