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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 204, Number 1, Pages 142–150
DOI: https://doi.org/10.4213/tmf9866 (Mi tmf9866) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Nontrivial solvability of the homogeneous Wiener–Hopf multiple integral equation in the conservative case and the Peierls equation

L. G. Arabadzhyanab, G. L. Arabajyanc

a Armenian State Teachers' Training University named after Khachatur Abovian, Yerevan, Armenia
b Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, Armenia
c Institute of Radiophysics & Electronics, National Academy of Sciences of Armenia, Ashtarak, Armenia
Full-text PDF (402 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9866
Abstract: We describe the process of constructing a positive solution of the homogeneous Wiener–Hopf integral equation in an octant in a special (conservative) case. Applying the obtained general results to the homogeneous stationary Peierls equation allows studying the behavior of the solutions of this equation for large argument values. These problems are particularly interesting in the theory of radiation transfer.
Keywords: Wiener–Hopf multiple integral equation, stationary Peierls equation, conservativity condition, asymptotic solution behavior.
Received: 28.12.2019
Revised: 28.12.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 204, Issue 1, Pages 957–965
DOI: https://doi.org/10.1134/S0040577920070090
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. G. Arabadzhyan, G. L. Arabajyan, “Nontrivial solvability of the homogeneous Wiener–Hopf multiple integral equation in the conservative case and the Peierls equation”, TMF, 204:1 (2020), 142–150; Theoret. and Math. Phys., 204:1 (2020), 957–965
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9866
  • https://www.mathnet.ru/eng/tmf/v204/i1/p142
    • This publication is cited in the following 3 articles:
    1. Kh. A. Khachatryan, A. S. Petrosyan, “Odnoparametricheskoe semeistvo neogranichennykh polozhitelnykh reshenii dlya odnogo klassa nelineinykh trekhmernykh integralnykh uravnenii s operatorom tipa Gammershteina–Nemytskogo”, Tr. MMO, 84, no. 1, MTsNMO, M., 2023, 37–53  mathnet
    2. Kh. A. Khachatryan, H. S. Petrosyan, “Solvability of two-dimensional integral equations with concave nonlinearity in the plane”, J. Math. Sci., 269:2 (2023), 239  crossref  mathscinet
    3. Kh. A. Khachatryan, H. S. Petrosyan, “Alternating bounded solutions of a class of nonlinear two-dimensional convolution-type integral equations”, Trans. Moscow Math. Soc., 82 (2021), 259–271  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:390
    Full-text PDF :88
    References:60
    First page:16
     
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