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

We study conditions for convergence and the rate of convergence of random functional series from the space subφ(Ω) in various norms. The results obtained 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/4870
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal