Functions of shift operator and their applications to difference equations

• Datum: 2010
• Hauptverfasser: Chaikovs'kyi, A. V., Чайковський, А. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2965
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the representation for functions of shift operator acting upon bounded sequences of elements of a Banach space. An estimate is obtained for the bounded solution of a linear difference equation in the Banach space. For two types of differential equations in Banach spaces, we present sufficie...