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

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.

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Bibliographic Details
Date:	1999
Main Authors:	Nguen, Tkhe Khoan, Fam, Ngok Boi, Нгуен, Тхе Хоан, Фам, Нгок Бой
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1999
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4610
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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