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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 5, Pages 834–844
DOI: https://doi.org/10.7868/S004446691405010X (Mi zvmmf10037) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Solvability of an integrodifferential equation arising in the nonlocal interaction of waves

N. B. Engibaryan, A. Kh. Khachatryan

Institute of Mathematics, Academy of Sciences of Armenia, pr. Marshala Bagramyana 14/5, Yerevan, 0019, Armenia
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DOI: https://doi.org/10.7868/S004446691405010X
Abstract: The solvability of an integrodifferential equation arising in the problem of nonlocal wave interaction is analyzed. A mathematically substantiated method based on applying an Ambartsumyan-type equation is proposed for the analytical solution of the problem. Some numerical results are presented.
Key words: Wiener–Hopf operators, operator symbol, factorization, monotonicity, Ambartsumyan equation, interaction of waves.
Received: 13.09.2013
Revised: 21.11.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 5, Pages 834–844
DOI: https://doi.org/10.1134/S0965542514050091
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: N. B. Engibaryan, A. Kh. Khachatryan, “Solvability of an integrodifferential equation arising in the nonlocal interaction of waves”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014), 834–844; Comput. Math. Math. Phys., 54:5 (2014), 834–844
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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