Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case

Min Kan Ni; Ai Feng Wang

doi:10.1134/S0012266116120053

Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case

Min Kan Ni^*
, Ai Feng Wang

^*此作品的通讯作者

数学科学学院

Huaiyin Normal University
East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

For an n-dimensional singularly perturbed system of differential equations, we construct the asymptotics of a solution with a step-like contrast structure in the critical case. We prove the existence of a solution and obtain an estimate for the remainder terms of the asymptotic representation of this solution.

源语言	英语
页（从-至）	1575-1584
页数	10
期刊	Differential Equations
卷	52
期	12
DOI	https://doi.org/10.1134/S0012266116120053
出版状态	已出版 - 1 12月 2016

访问文件

10.1134/S0012266116120053

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{680ab8d407364592bcf8b9e68575eea1,

title = "Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case",

abstract = "For an n-dimensional singularly perturbed system of differential equations, we construct the asymptotics of a solution with a step-like contrast structure in the critical case. We prove the existence of a solution and obtain an estimate for the remainder terms of the asymptotic representation of this solution.",

author = "Ni, \{Min Kan\} and Wang, \{Ai Feng\}",

note = "Publisher Copyright: {\textcopyright} 2016, Pleiades Publishing, Ltd.",

year = "2016",

month = dec,

day = "1",

doi = "10.1134/S0012266116120053",

language = "英语",

volume = "52",

pages = "1575--1584",

journal = "Differential Equations",

issn = "0012-2661",

publisher = "Pleiades Publishing",

number = "12",

}

TY - JOUR

T1 - Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case

AU - Ni, Min Kan

AU - Wang, Ai Feng

PY - 2016/12/1

Y1 - 2016/12/1

N2 - For an n-dimensional singularly perturbed system of differential equations, we construct the asymptotics of a solution with a step-like contrast structure in the critical case. We prove the existence of a solution and obtain an estimate for the remainder terms of the asymptotic representation of this solution.

AB - For an n-dimensional singularly perturbed system of differential equations, we construct the asymptotics of a solution with a step-like contrast structure in the critical case. We prove the existence of a solution and obtain an estimate for the remainder terms of the asymptotic representation of this solution.

UR - https://www.scopus.com/pages/publications/85010046815

U2 - 10.1134/S0012266116120053

DO - 10.1134/S0012266116120053

M3 - 文章

AN - SCOPUS:85010046815

SN - 0012-2661

VL - 52

SP - 1575

EP - 1584

JO - Differential Equations

JF - Differential Equations

IS - 12

ER -

Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case

摘要

访问文件

其它文件与链接

学术指纹

引用此