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Matematicheskie Zametki, 2011, Volume 90, Issue 1, Pages 113–136
DOI: https://doi.org/10.4213/mzm4510 (Mi mzm4510) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Existence of Solutions of a Nonlinear Integro-Differential System of Transport Equations

R. S. Makin
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DOI: https://doi.org/10.4213/mzm4510
Abstract: We consider the system of equations describing transport processes in inhomogeneous distributed media, such as those in nuclear reactors. For a given system of equations, a mixed problem is posed. Under certain conditions on the initial data, we prove the global solvability of the problem in the weak generalized sense by using the standard scheme of nonlinear functional analysis.
Keywords: nonlinear integro-differential system, transport equations, inhomogeneous distributed media, Banach space, Lyapunov surface, diffusion operator, Sobolev space, Cauchy problem, Gronwall–Bellman lemma.
Received: 06.02.2008
English version:
Mathematical Notes, 2011, Volume 90, Issue 1, Pages 102–124
DOI: https://doi.org/10.1134/S000143461107011X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: R. S. Makin, “On the Existence of Solutions of a Nonlinear Integro-Differential System of Transport Equations”, Mat. Zametki, 90:1 (2011), 113–136; Math. Notes, 90:1 (2011), 102–124
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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    		Математические заметки Mathematical Notes
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