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

被引：0
作者：
Ai-feng Wang
Mei Xu
Ming-kang Ni
机构：
[1] Huaiyin Normal University,School of Mathematical Science
[2] East China Normal University,Department of Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2016年 / 32卷
关键词：
singularly perturbed; differential-difference equation; delay argument; asymptotic expansion; impulsive solution; boundary function; 34C10; 34B15;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：333 / 342
页数：9
相关论文
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