Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 173, Pages 132–139
DOI: https://doi.org/10.36535/0233-6723-2019-173-132-139 (Mi into562) 		 
Singular perturbations in first-order partial differential equations with matrix-differential operators

V. I. Uskov

Voronezh State University of Forestry and Technologies named after G.F. Morozov
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DOI: https://doi.org/10.36535/0233-6723-2019-173-132-139
Abstract: In this paper, we consider differential equations whose degeneracy is due to the presence of a matrix-differential operator coefficient of the derivative perturbed by a small parameter. Properties of this operator are used in the study of initial-boundary-value problems for equations considered for the presence of a boundary layer. Regularity conditions of degeneracy are determined.
Keywords: Banach space, matrix-differential operator, first-order differential equation, small perturbation, parameter, boundary layer.
Document Type: Article
UDC: 517.922, 517.928, 517.95
MSC: 35F40
Language: Russian
Citation: V. I. Uskov, “Singular perturbations in first-order partial differential equations with matrix-differential operators”, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 173, VINITI, Moscow, 2019, 132–139
Citation in format AMSBIB
\Bibitem{Usk19}
\by V.~I.~Uskov
\paper Singular perturbations in first-order partial differential equations with matrix-differential operators
\inbook Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 173
\pages 132--139
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into562}
\crossref{https://doi.org/10.36535/0233-6723-2019-173-132-139}
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