On solutions defined on an axis for differential equations with shifts of the argument

• Datum: 2011
• Hauptverfasser: Chaikovs'kyi, A. V., 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/2806
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider linear first-order differential equations with shifts of arguments with respect to functions with values in a Banach space. Sufficient conditions for the existence of nontrivial solutions of homogeneous equations are obtained. Ordinary differential equations are constructed for which all...