Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient

• Datum: 2011
• Hauptverfasser: Il'chenko, Yu. V., Chaikovs'kyi, A. V., Ільченко, Ю. В., Чайковський, А. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2784
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The concept of strongly positive operator is generalized, and properties of the operators introduced are analyzed. The solutions of the Cauchy problem for a linear inhomogeneous differential equation with generalized strongly positive operator coefficient are found.