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^*

^*Corresponding author for this work

School of Mathematical Sciences

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

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

1 Scopus citations

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

Access to Document

10.1134/S0965542524701367

Cite this

@article{7468c575d54b4c2baea4277f2bbbe166,

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",

volume = "64",

pages = "2429--2441",

journal = "Computational Mathematics and Mathematical Physics",

issn = "0965-5425",

publisher = "Pleiades Publishing",

number = "10",

}

TY - JOUR

T1 - The Internal Layer of Boundary Value Problem for a Class of System of Singularly Perturbed Equations with Discontinuous Right-Hand Side

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this