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Boundary-Value problems with random initial conditions and functional series from subφ (Ω). I

We study conditions for convergence and the rate of convergence of random functional series from the space subφ (Ω) in various norms. The results are applied to the investigation of a boundary-value problem for a hyperbolic equation with random initial conditions.

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Bibliographic Details
Date:	1998
Main Authors:	Koval’chuk, Yu. A., Kozachenko, Yu. V., Ковальчук, Ю. А., Козаченко, Ю. В.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4920
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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