General time-dependent bounded perturbation of a strongly continuous semigroup

• Datum: 2005
• Hauptverfasser: Kartashov, M. V., Карташов, М. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3714
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider an evolution family whose generator is formed by a time-dependent bounded perturbation of a strongly continuous semigroup. We do not use the condition of the continuity of a perturbation. We prove a formula for a variation of a parameter and the corresponding generalization of the Dyson-...