摘要
研究了一类奇摄动三阶非线性边值问题,在构造形式渐近解的基础上,用微分不等式理论证明了解的存在性,并得出了解的任意阶的一致有效展开式.
A class of singularly perturbed third order nonline boundary value problems are studied. Under the construction of a formal approximation of the boundary value problem, the existence of solution is proved and the uniformly valid asymptotic expansions of arbitrary order are obtained by the theories of differential inequalities.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第8期177-181,共5页
Mathematics in Practice and Theory
基金
南昌航空大学校级基金(YC2008031)
关键词
奇摄动
边值问题
微分不等式
singular perturbation
boundary value problems
differential inequality
