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

^*Corresponding author for this work

School of Mathematical Sciences

Huaiyin Normal University

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

2 Scopus citations

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.

Original language	English
Pages (from-to)	333-342
Number of pages	10
Journal	Acta Mathematicae Applicatae Sinica
Volume	32
Issue number	2
DOIs	https://doi.org/10.1007/s10255-016-0557-x
State	Published - 1 Jun 2016

Keywords

asymptotic expansion
boundary function
delay argument
differential-difference equation
impulsive solution
singularly perturbed

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10.1007/s10255-016-0557-x

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title = "The impulsive solution for a semi-linear singularly perturbed differential-difference equation",

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

PY - 2016/6/1

Y1 - 2016/6/1

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

U2 - 10.1007/s10255-016-0557-x

DO - 10.1007/s10255-016-0557-x

M3 - 文章

AN - SCOPUS:84964712072

SN - 0168-9673

VL - 32

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EP - 342

JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 2

ER -

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

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Keywords

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