一类具有混合边界条件的奇摄动拟线性边值问题  

A Class of Singularly Perturbed Quasilinear Boundary Value Problems with Mixed Boundary Conditions

作　　者：明万元[1] 黄香蕉[1] 

机构地区：[1]南昌航空大学,江西南昌330063

出　　处：《南昌航空大学学报（自然科学版）》2008年第4期11-13,42,共4页Journal of Nanchang Hangkong University(Natural Sciences)

基　　金：南昌航空大学校级科研基金(EC200807189)

摘　　要：研究一类具有混合边界条件的奇摄动二阶拟线性边值问题,在构造形式渐近解的基础上,利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 second order quasilinear boundary value problems with mixed boundary conditions 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 混合边界 拟线性 边值问题 微分不等式 

分 类 号：O175.8[理学—数学]