The interior layer phenomena for a class of singularly perturbed delay-differential equations

Na Wang; Mingkang Ni

doi:10.1016/S0252-9602(13)60017-X

The interior layer phenomena for a class of singularly perturbed delay-differential equations

Na Wang^*
, Mingkang Ni

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai Institute of Technology
Shanghai Jiao Tong University

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

3 Scopus citations

Abstract

In this article, we study a kind of vector singularly perturbed delay-differential equation. Using boundary layer function method and geometric analysis skill, the asymptotic expression of the system is constructed and the uniform validity of asymptotic solution is also proved.

Original language	English
Pages (from-to)	532-542
Number of pages	11
Journal	Acta Mathematica Scientia
Volume	33
Issue number	2
DOIs	https://doi.org/10.1016/S0252-9602(13)60017-X
State	Published - Mar 2013

Keywords

Delay
Interior layer
Singular perturbation
Vector

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10.1016/S0252-9602(13)60017-X

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title = "The interior layer phenomena for a class of singularly perturbed delay-differential equations",

abstract = "In this article, we study a kind of vector singularly perturbed delay-differential equation. Using boundary layer function method and geometric analysis skill, the asymptotic expression of the system is constructed and the uniform validity of asymptotic solution is also proved.",

keywords = "Delay, Interior layer, Singular perturbation, Vector",

author = "Na Wang and Mingkang Ni",

year = "2013",

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AU - Wang, Na

AU - Ni, Mingkang

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AB - In this article, we study a kind of vector singularly perturbed delay-differential equation. Using boundary layer function method and geometric analysis skill, the asymptotic expression of the system is constructed and the uniform validity of asymptotic solution is also proved.

KW - Delay

KW - Interior layer

KW - Singular perturbation

KW - Vector

UR - https://www.scopus.com/pages/publications/84875103974

U2 - 10.1016/S0252-9602(13)60017-X

DO - 10.1016/S0252-9602(13)60017-X

M3 - 文章

AN - SCOPUS:84875103974

SN - 0252-9602

VL - 33

SP - 532

EP - 542

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 2

ER -

The interior layer phenomena for a class of singularly perturbed delay-differential equations

Abstract

Keywords

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