The impulsive solution for a semi-linear singularly perturbed differential-difference equation

Ai feng Wang; Mei Xu; Ming kang Ni

doi:10.1007/s10255-016-0557-x

The impulsive solution for a semi-linear singularly perturbed differential-difference equation

Ai feng Wang^*
, Mei Xu
, Ming kang Ni

^*此作品的通讯作者

数学科学学院

Huaiyin Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

The impulsive solution for a semi-linear singularly perturbed differential-difference equation is studied. Using the methods of boundary function and fractional steps, we construct the formula asymptotic expansion of the problem. At the same time, Based on sewing techniques, the existence of the smooth impulsive solution and the uniform validity of the asymptotic expansion are proved.

源语言	英语
页（从-至）	333-342
页数	10
期刊	Acta Mathematicae Applicatae Sinica
卷	32
期	2
DOI	https://doi.org/10.1007/s10255-016-0557-x
出版状态	已出版 - 1 6月 2016

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abstract = "The impulsive solution for a semi-linear singularly perturbed differential-difference equation is studied. Using the methods of boundary function and fractional steps, we construct the formula asymptotic expansion of the problem. At the same time, Based on sewing techniques, the existence of the smooth impulsive solution and the uniform validity of the asymptotic expansion are proved.",

keywords = "asymptotic expansion, boundary function, delay argument, differential-difference equation, impulsive solution, singularly perturbed",

author = "Wang, \{Ai feng\} and Mei Xu and Ni, \{Ming kang\}",

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AU - Wang, Ai feng

AU - Xu, Mei

AU - Ni, Ming kang

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N2 - The impulsive solution for a semi-linear singularly perturbed differential-difference equation is studied. Using the methods of boundary function and fractional steps, we construct the formula asymptotic expansion of the problem. At the same time, Based on sewing techniques, the existence of the smooth impulsive solution and the uniform validity of the asymptotic expansion are proved.

AB - The impulsive solution for a semi-linear singularly perturbed differential-difference equation is studied. Using the methods of boundary function and fractional steps, we construct the formula asymptotic expansion of the problem. At the same time, Based on sewing techniques, the existence of the smooth impulsive solution and the uniform validity of the asymptotic expansion are proved.

KW - asymptotic expansion

KW - boundary function

KW - delay argument

KW - differential-difference equation

KW - impulsive solution

KW - singularly perturbed

UR - https://www.scopus.com/pages/publications/84964712072

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DO - 10.1007/s10255-016-0557-x

M3 - 文章

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The impulsive solution for a semi-linear singularly perturbed differential-difference equation

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