一类具有界面条件的二阶拟线性奇异摄动边值问题  

A class of second-order quasilinear singularly perturbed boundary value problems with interface conditions

作　　者：吴成龙[1] 谢峰[1] 

机构地区：[1]东华大学应用数学系,上海201602

出　　处：《应用数学与计算数学学报》2016年第2期272-279,共8页Communication on Applied Mathematics and Computation

基　　金：上海市自然科学基金资助项目(15ZR1400800)

摘　　要：研究了具有界面条件和不连续系数的一类拟线性二阶微分方程边值问题.原问题的解因一阶导数系数的不连续性和界面条件而在不连续点处出现内层现象,用合成展开法得到原问题一致有效的渐近解.A class of boundary value problems for second-order quasilinear differential equations with discontinuous coefficients and interface conditions is studied.Due to the discontinuity of the coefficient of first derivative and the interface conditions,the solution exhibits the interior layer phenomenon at the discontinuous point.The method of composite expansions is used to obtain the uniformly valid asymptotic solution of the original problem.

关 键 词：奇异摄动 分段光滑 界面条件 合成展开 

分 类 号：O175.8[理学—数学]