摘要
讨论了一类含有脉冲状解的奇摄动边值问题.由于这类问题自身的不稳定性而无法采用微分不等式方法.利用边界层函数法构造了形式渐近解,并运用"缝接法"证明了问题解的存在性以及进行了余项估计.
A kind of singularly perturbed boundary value problems with spike-type solution is discussed in this article.The differential inequality theorem is not valid because of the instability of the spike-type solution.Using the method of boundary layer function, formal asymptotic solution is constituted.Finally,by sewing connection method not only the existence of the solution is proved but also the estimation of remainder terms is finished.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第4期202-208,共7页
Mathematics in Practice and Theory
基金
National Laboratory of Biomacromolecules
Institute of Biophysics
Chinese Academy of Sciences
RFBR(09-01-00170)
上海市自然科学基金(10ZR1409200)
国家自然科学基金(11071075)
关键词
奇摄动
脉冲状解
缝接法
singularly perturbation
spike-type solution
sewing connection method
