THE INTERIOR LAYER FOR A NONLINEAR SINGULARLY PERTURBED DIFFERENTIAL-DIFFERENCE EQUATION

被引:0
作者
王爱峰 [1 ,2 ,3 ]
倪明康 [1 ,3 ]
机构
[1] Department of Mathematics,East China Normal University
[2] School of Mathematical Science,Huaiyin Normal University
[3] Division of Computational Science,E-Institute of Shanghai Universities at SJTU
基金
上海市自然科学基金;
关键词
Differential-difference equation; interior layer; asymptotic expansion; boundary function;
D O I
暂无
中图分类号
O175.7 [差分微分方程];
学科分类号
070104 ;
摘要
In this article,the interior layer for a second order nonlinear singularly perturbed differential-difference equation is considered.Using the methods of boundary function and fractional steps,we construct the formula of asymptotic expansion and point out that the boundary layer at t = 0 has a great influence upon the interior layer at t = σ.At the same time,on the basis of differential inequality techniques,the existence of the smooth solution and the uniform validity of the asymptotic expansion are proved.Finally,an example is given to demonstrate the effectiveness of our result.The result of this article is new and it complements the previously known ones.
引用
收藏
页码:695 / 709
页数:15
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