纺织高校基础科学学报2016，Vol.29Issue(4)：435-442,8.DOI:10.13338/j.issn.1006-8341.2016.04.004
含不连续系数的时滞微分方程奇摄动边值问题
Singularly perturbed boundary value problems of differential equations with delay and discontinuous coefficients
摘要
Abstract
A class of singularly perturbed problems of second-order delay differential equations with discontinuous coefficients are studied.The original problem can be viewed as the coupling of the left and right problem.Asymptotic solutions of the left and right problem are constructed by using the method of boundary function respectively,so that the solution of zero order approximation is obtained.To make the solution set up on the whole interval,the sewing method is used.At last,the existence of solution are proved by the theorem of lower and upper solutions.关键词
时滞/不连续系数/奇摄动/上下解/缝接法Key words
delay/discontinuity coefficients/singular perturbation/lower and upper solution/sewing method分类
数理科学引用本文复制引用
阳广志,谢峰..含不连续系数的时滞微分方程奇摄动边值问题[J].纺织高校基础科学学报,2016,29(4):435-442,8.基金项目
上海市自然科学基金资助项目(15ZR1400800) （15ZR1400800）
