具有阶梯状空间对照结构的奇摄动  

Singular perturbation with step-type contrast structures

作　　者：倪明康[1] 林武忠 

机构地区：[1]华东师范大学数学系,上海200062 [2]上海高校计算科学E-研究院上海交大研究所,上海200062

出　　处：《高校应用数学学报（A辑）》2009年第3期290-300,共11页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(10671070);上海市教育委员会E-研究院建设项目(E03004);上海市重点学科建设项目(B407);上海市浦江人才计划(05PJ14040)

摘　　要：针对二阶半线性Dirichlet问题用边界层函数法构造了渐近解,给出了转移点的渐近表达式,并用微分不等式方法证明了阶梯状空间对照结构的存在性和进行了余项估计.In this paper, a second-order semi-linear Robin problem is discussed. Firstly, the asymptotic solution of the problem by boundary layer function method is constructed and the asymptotic expression of the point of transition is given. Secondly, the existence of the solution with step-type contrast structures is proved by using differential inequality, and the remainder estimate is presented.

关 键 词：奇摄动 空间对照结构 微分不等式 

分 类 号：O175.14[理学—数学]