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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 8, Pages 1339–1350
DOI: https://doi.org/10.31857/S0044466920080037 (Mi zvmmf11115) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Identification problem for telegraph-parabolic equations

A. Ashyralyevabc, M. Ashyralyyevd, M. A. Ashyralyevae

a Near East University, Nicosia, 99138 TRNC Turkey
b Institute of Mathematics and Mathematical Modeling, Almaty, 050010 Kazakhstan
c Peoples' Friendship University of Russia (RUDN University), Moscow, 117198 Russia
d Bahcesehir University, Istanbul, 34353 Turkey
e Turkmen State University, Ashgabat, 744000 Turkmenistan
Citations (10)
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DOI: https://doi.org/10.31857/S0044466920080037
Abstract: An identification problem for an equation of mixed telegraph-parabolic type with an unknown parameter depending on spatial variables is considered. The unique solvability of this problem is proved, and stability inequalities for its solution are established. As applications, stability estimates are obtained for the solutions of four identification problems for telegraph-parabolic equations with an unknown source depending on spatial variables.
Key words: source identification problem, telegraph-parabolic equation, stability, Hilbert space.
Received: 15.02.2020
Revised: 15.02.2020
Accepted: 09.04.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 8, Pages 1294–1305
DOI: https://doi.org/10.1134/S0965542520080035
Bibliographic databases:
Document Type: Article
UDC: 517.956.2
Language: Russian
Citation: A. Ashyralyev, M. Ashyralyyev, M. A. Ashyralyeva, “Identification problem for telegraph-parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020), 1339–1350; Comput. Math. Math. Phys., 60:8 (2020), 1294–1305
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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