摘要
利用奇摄动的边界层校正法,研究一类具有小延迟的非线性微分-差分方程的初值问题.在一定条件下,得到了该问题的一致有效渐近解,并给出了两项边界层校正项,且这种边界层校正项具有阶梯形结构和连续指数型衰减的特点.
A class of initial value problems for nonlinear differential-difference equation with small time delay was studied with the corrective method of boundary layer. Under some definite conditions, the uniformly valid asymptotic solution of the problems was obtained. Especially, two corrective terms of boundary layer were given. They are decreasing continuously and exponentially and have the characteristic of ladder structure.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2008年第4期628-632,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10471039)
上海市教委E-研究院建设计划项目基金(批准号:E03004)
浙江省自然科学基金(批准号:Y606268)
关键词
非线性
奇摄动
初值问题
渐近解
边界层
nonlinear
singular perturbation
initial value problem
asymptotic solution
boundary layer
