纺织高校基础科学学报2018，Vol.31Issue(1)：38-44,7.DOI:10.13338/j.issn.1006-8341.2018.01.008
具有积分边界条件的二阶奇摄动问题的内层
The internal layer of second order singular perturbation problem with integral boundary conditions
摘要
Abstract
The existence and asymptotic estimates of solutions for a class of singularly perturbed boundary value with the internal layer problem is investigated.Assume that the solution of the degenerate equation is not smooth at the defined interval,by using the boundary function method and the sewing method,the formal asymptotic solution is constructed.Then the exist-ence of the solution are proved by using the theorem of lower-upper solutions,and an exact so-lution is estimated.Finally,an numerical example is presented as an illustration.关键词
内层/积分边界条件/奇摄动/缝接法/上下解定理Key words
internal layer/integral boundary conditions/singular perturbation/sewing method/theorem of lower-upper solutions分类
数理科学引用本文复制引用
占家兴,谢峰..具有积分边界条件的二阶奇摄动问题的内层[J].纺织高校基础科学学报,2018,31(1):38-44,7.基金项目
上海市自然科学基金(15ZR1400800) （15ZR1400800）
