Theorems on the average values and non-oscillating character of the solutions of the partial differential equations in the spaces $E^n$ and $P^n$

Analogs of the mean-value theorem are obtained for the Poisson equation with the Laplace-Beltrami operator in Euclidean and spherical spaces.

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Bibliographic Details
Date:2024
Main Authors: Bugir, M.K., Бугир, М.К.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8248
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal