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^*

^*此作品的通讯作者

数学科学学院

East China Normal University
Ministry of Education of the People's Republic of China

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	2429-2441
页数	13
期刊	Computational Mathematics and Mathematical Physics
卷	64
期	10
DOI	https://doi.org/10.1134/S0965542524701367
出版状态	已出版 - 10月 2024

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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",

note = "Publisher Copyright: {\textcopyright} Pleiades Publishing, Ltd. 2024.",

year = "2024",

month = oct,

doi = "10.1134/S0965542524701367",

language = "英语",

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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

UR - https://www.scopus.com/pages/publications/85211352867

U2 - 10.1134/S0965542524701367

DO - 10.1134/S0965542524701367

M3 - 文章

AN - SCOPUS:85211352867

SN - 0965-5425

VL - 64

SP - 2429

EP - 2441

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

IS - 10

ER -

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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