On continuous dependence of solutions of linear differential equations on a parameter in a Banach space

• Datum: 1999
• Hauptverfasser: Nguen, Tkhe Khoan, Fam, Ngok Boi, Нгуен, Тхе Хоан, Фам, Нгок Бой
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4610
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove the reduction theorem for linear differential equations in a Banach space in the case where the convergence is strong. This result is used to obtain the necessary and sufficient conditions for continuous dependence of solutions on a parameter.