Please use this identifier to cite or link to this item:
https://elib.bsu.by/handle/123456789/323139
Title: | CURVILINEAR PARALLELOGRAM IDENTITY AND MEAN-VALUE PROPERTY FOR A SEMILINEAR HYPERBOLIC EQUATION OF THE SECOND ORDER |
Authors: | Korzyuk, V.I. Rudzko, J.V.L. |
Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Кибернетика |
Issue Date: | 2024 |
Publisher: | L.N. Gumilyov Eurasian National University |
Citation: | Eurasian Mathematical Journal .2024; 15(2): 61-74 |
Abstract: | In this paper, we discuss some of important qualitative properties of solutions of second-order hyperbolic equations, whose coefficients of the terms involving the second-order derivatives are independent of the desired function and its derivatives. Solutions of these equations have a special property called curvilinear parallelogram identity (or mean-value property), which can be used to solve some initial-boundary value problem |
URI: | https://elib.bsu.by/handle/123456789/323139 |
DOI: | 10.32523/2077-9879-2024-15-2-61-74 |
Scopus: | 85200364227 |
Licence: | info:eu-repo/semantics/openAccess |
Appears in Collections: | Кафедра био- и наномеханики (статьи) |
Files in This Item:
File | Description | Size | Format | |
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2204.09408v2.pdf | 1,49 MB | Adobe PDF | View/Open |
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