The Impulsive Solution for a Semi-linear Singularly Perturbed Differential-difference Equation

作     者：Ai-feng WANG Mei XU Ming-kang NI 

作者机构：School of Mathematical Science Huaiyin Normal University Department of Mathematics East China Normal University 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2016年第32卷第2期

页      面：333-342页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(N.11501236,N.11471118,N.30921064 and 90820307),the Innovation Project in the Chinese Academ Department of Mathematics,Shanghai Key Laboratory of PMMP,East China Normal University 

主　　题：singularly perturbed differential-difference equation delay argument asymptotic expansion im-pulsive solution boundary function 

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.