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 Zh. Vychisl. Mat. Mat. Fiz., 2009, Volume 49, Number 4, Pages 715–721 (Mi zvmmf13)

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

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.

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English version:
Computational Mathematics and Mathematical Physics, 2009, 49:4, 691–697

Bibliographic databases:

UDC: 519.642

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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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. A. Kh. Khachatryan, Kh. A. Khachatryan, “Qualitative difference between solutions of stationary model Boltzmann equations in the linear and nonlinear cases”, Theoret. and Math. Phys., 180:2 (2014), 990–1004
2. A. Kh. Khachatryan, Kh. A. Khachatryan, “Some problems concerning the solvability of the nonlinear stationary Boltzmann equation in the framework of the BGK model”, Trans. Moscow Math. Soc., 77 (2016), 87–106
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