Trivial differential equations in spaces $L_p, 0 < p< 1$

A description of the set $X_p$  of all solutions of the trivial Cauchy problem in $L_p, 0 < p< 1$ is presented. The principal result is Theorem 2, which asserts that $X_p$ is a closed subspace of the $p$ -Banach space $H_p$ of all curves in $L_p$ that satisfy a Höl...

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Bibliographic Details
Date:1992
Main Authors: Popova , L. V., Попова , Л. В.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8176
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal