Geodesic
Singular perturbations in first-order partial differential equations with matrix-differential operators
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 4, Tome 173 (2019), pp. 132-139

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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, parameter, boundary layer.
Mots-clés : small perturbation 
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     author = {V. I. Uskov},
     title = {Singular perturbations in first-order partial differential equations with matrix-differential operators},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {132--139},
     publisher = {mathdoc},
     volume = {173},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_173_a10/}
}
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V. I. Uskov. Singular perturbations in first-order partial differential equations with matrix-differential operators. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 4, Tome 173 (2019), pp. 132-139. http://geodesic.mathdoc.fr/item/INTO_2019_173_a10/