Problem without initial conditions for linear and almost linear degenerate operator differential equations

• Datum: 2009
• Hauptverfasser: Dmytryshyn, Yu. B., Дмитришин, Ю. Б.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3022
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the problem without initial conditions for linear and almost linear degenerate operator differential equations in Banach spaces. The uniqueness of a solution of this problem is proved in the classes of bounded functions and functions with exponential behavior as t → –∞. We also establish su...