The Internal Layer of Boundary Value Problem for a Class of System of Singularly Perturbed Equations with Discontinuous Right-Hand Side

Ruixiang Li; Mingkang Ni

doi:10.1134/S0965542524701367

The Internal Layer of Boundary Value Problem for a Class of System of Singularly Perturbed Equations with Discontinuous Right-Hand Side

Ruixiang Li, Mingkang Ni

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract: This article discusses a class of singularly perturbed system of equations with discontinuous right-hand side when the small parameters before the highest-order derivative are the same. Sufficient conditions for existence of a smooth solution with internal layer of the problem are introduced and its asymptotic expansion is constructed.

Original language	English
Pages (from-to)	2429-2441
Number of pages	13
Journal	Computational Mathematics and Mathematical Physics
Volume	64
Issue number	10
DOIs	https://doi.org/10.1134/S0965542524701367
State	Published - Oct 2024

Keywords

asymptotic method
discontinuous right-hand side
internal layer
quasilinear system of equations

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10.1134/S0965542524701367

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title = "The Internal Layer of Boundary Value Problem for a Class of System of Singularly Perturbed Equations with Discontinuous Right-Hand Side",

abstract = "Abstract: This article discusses a class of singularly perturbed system of equations with discontinuous right-hand side when the small parameters before the highest-order derivative are the same. Sufficient conditions for existence of a smooth solution with internal layer of the problem are introduced and its asymptotic expansion is constructed.",

keywords = "asymptotic method, discontinuous right-hand side, internal layer, quasilinear system of equations",

author = "Ruixiang Li and Mingkang Ni",

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AU - Li, Ruixiang

AU - Ni, Mingkang

N1 - Publisher Copyright: © Pleiades Publishing, Ltd. 2024.

PY - 2024/10

Y1 - 2024/10

N2 - Abstract: This article discusses a class of singularly perturbed system of equations with discontinuous right-hand side when the small parameters before the highest-order derivative are the same. Sufficient conditions for existence of a smooth solution with internal layer of the problem are introduced and its asymptotic expansion is constructed.

AB - Abstract: This article discusses a class of singularly perturbed system of equations with discontinuous right-hand side when the small parameters before the highest-order derivative are the same. Sufficient conditions for existence of a smooth solution with internal layer of the problem are introduced and its asymptotic expansion is constructed.

KW - asymptotic method

KW - discontinuous right-hand side

KW - internal layer

KW - quasilinear system of equations

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DO - 10.1134/S0965542524701367

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JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

IS - 10

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The Internal Layer of Boundary Value Problem for a Class of System of Singularly Perturbed Equations with Discontinuous Right-Hand Side

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