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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 4, Pages 715–721 (Mi zvmmf13)  
This article is cited in 2 scientific papers (total in 2 papers)

About one system of integral equations in kinetic theory

Ts. È. Terdzhyana, A. Kh. Khachatryanb

a Armenian Agraryan State University, 74, Teryansts, Yerevan, 0009, Armenia
b Institute of Mathematics, Academy of Sciences of Armenia, 24a Bagramyana ave., Yerevan, 0019, Armenia
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Abstract: One system of integral convolution equations is considered on a half-line with an noninvertible matrix integral operator whose symbol has a fourth-order zero. The application of a special factorization method makes it possible to distinguish noninvertible factors in the original noninvertible operator and reduce the system to a new system with a nonsingular integral operator. The structural theorem of the existence of a solution to the original system is proved.
Key words: noninvertible operator, factorization, symbol of the operator, system of Wiener–Hopf integral equations, matrix integral operator, structural theorem of the existence of solutions.
Received: 10.06.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 4, Pages 691–697
DOI: https://doi.org/10.1134/S0965542509040137
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: Ts. È. Terdzhyan, A. Kh. Khachatryan, “About one system of integral equations in kinetic theory”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009), 715–721; Comput. Math. Math. Phys., 49:4 (2009), 691–697
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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