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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 180, Number 2, Pages 206–216
DOI: https://doi.org/10.4213/tmf8667 (Mi tmf8667) 		 
Transport equations

N. B. Engibaryan, A. G. Barseghyan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, Armenia
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DOI: https://doi.org/10.4213/tmf8667
Abstract: We study questions of the general theory and solution methods for linear transport problems in a homogenous half-space and in a plane layer of finite thickness. We propose developing a factorization interpretation of the operator approach and consider the nonlinear factorization equations and generalized Ambartsumian equation in combination with the possibilities of two analytic semigroups.
Keywords: transport equation in a plane case, operator approach, factorization, analytic semigroup.
Received: 24.02.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 180, Issue 2, Pages 932–941
DOI: https://doi.org/10.1007/s11232-014-0189-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. B. Engibaryan, A. G. Barseghyan, “Transport equations”, TMF, 180:2 (2014), 206–216; Theoret. and Math. Phys., 180:2 (2014), 932–941
Citation in format AMSBIB
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