奇摄动三阶非线性边值问题  

Singularly Perturbed Third Order Nonlinear Boundary Value Problems

作　　者：黄香蕉[1] 明万元[1] 

机构地区：[1]南昌航空大学数学与信息科学学院,江西南昌330063

出　　处：《数学的实践与认识》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)

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.

关 键 词：奇摄动 边值问题 微分不等式 

分 类 号：O175.8[理学—数学]