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Matematicheskie Zametki, 2015, Volume 98, Issue 3, Pages 436–447
DOI: https://doi.org/10.4213/mzm10598 (Mi mzm10598) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Problem of the Propagation of Waves in an Inhomogeneous Medium with Memory

A. N. Tsaritsanskiy

Lomonosov Moscow State University
Full-text PDF (431 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm10598
Abstract: A certain wave equation for a medium with memory is considered. Its classical solution is constructed by using the classical solution of the transport system and the propagating wave formula.
Keywords: wave equation, inhomogeneous medium with memory, transport system, Kelvin–Voight law of viscoelastic oscillations.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00155
This work was supported by the Russian Foundation for Basic Research under grant 12-01-00155.
Received: 26.10.2014
English version:
Mathematical Notes, 2015, Volume 98, Issue 3, Pages 492–502
DOI: https://doi.org/10.1134/S0001434615090151
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. N. Tsaritsanskiy, “Problem of the Propagation of Waves in an Inhomogeneous Medium with Memory”, Mat. Zametki, 98:3 (2015), 436–447; Math. Notes, 98:3 (2015), 492–502
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm10598
  • https://www.mathnet.ru/eng/mzm/v98/i3/p436
    • This publication is cited in the following 3 articles:
    1. A. V Borovskikh, “Metod rasprostranyayushchikhsya voln”, Differencialʹnye uravneniâ, 59:5 (2023), 619  crossref
    2. A. V. Borovskikh, “Traveling Wave Method”, Diff Equat, 59:5 (2023), 629  crossref
    3. A. N. Tsaritsanskii, “Diskretnyi i nepreryvnyi sluchai v zadache o rasprostranenii voln v srede s pamyatyu”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 19:3 (2015), 489–503  mathnet  crossref  zmath  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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