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

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.

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Bibliographic Details
Date:	2011
Main Authors:	Il'chenko, Yu. V., Chaikovs'kyi, A. V., Ільченко, Ю. В., Чайковський, А. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2011
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2784
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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