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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 3, Pages 28–40
DOI: https://doi.org/10.17377/sibjim.2016.19.303 (Mi sjim926) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Inverse problems of the determination of external sources in the equation of longitudinal wave propagation

G. V. Namsaraeva

East Siberian State University of Technology and Management, 40V Klyuchevskaya str., 670023 Ulan-Ude
Full-text PDF (223 kB) Citations (7) English version article
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DOI: https://doi.org/10.17377/sibjim.2016.19.303
Abstract: We consider inverse problems for the equation of longitudinal wave propagation with overdetermination conditions of final and integral types. The main purpose of the research is the proof of the existence of regular solutions to the inverse determination problems together with the solution of the also unknown external sources. One of the proposed approaches is based on the reduction of the inverse problem to an integro-differential equation.
Keywords: equation of longitudinal wave propagation, inverse problem, integro-differential equation, a priori estimate, regular solution, existence, uniqueness.
Received: 26.11.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 3, Pages 386–396
DOI: https://doi.org/10.1134/S1990478916030091
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: G. V. Namsaraeva, “Inverse problems of the determination of external sources in the equation of longitudinal wave propagation”, Sib. Zh. Ind. Mat., 19:3 (2016), 28–40; J. Appl. Industr. Math., 10:3 (2016), 386–396
Citation in format AMSBIB
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\jour J. Appl. Industr. Math.
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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