具有积分边界条件的二阶半线性奇摄动方程脉冲状对照结构(英文)  

The Spike-type Contrast Structure for a Second-order Semi-linear Singularly Perturbed Differential Equation with Integral Boundary Condition

作　　者：王爱峰[1,2] 

机构地区：[1]华东师范大学数学系,上海200062 [2]淮阴师范学院数学科学学院,江苏淮阴223300

出　　处：《应用数学》2012年第2期363-368,共6页Mathematica Applicata

基　　金：Supported by the National Natural Science Funds(11071075);the Natural ScienceFoundation of Shanghai(10ZR1409200);the National Laboratory of Biomacromolecules,Institute of Biophysics,Chinese Academy of Sciences,the E-Institutes of Shanghai Municipal Education Commissions(E03004)

摘　　要：本文讨论了带有积分边界条件的二阶半线性奇摄动方程的脉冲状对照结构.借助于边界函数法,在一定条件下,构造了该问题的形式渐近解.利用缝接法证明了该问题解的存在性和形式渐近解的一致有效性.In this paper,we investigate the spike-type contrast structure for a second order semi-lin- ear singularly perturbed differential equation with integral boundary condition. Under suitable condi- tions, using the boundary function method, we construct the asymptotic solution for this problem. At the same time, the existence of the solution and the uniform validity of the formal approximation are proved bv the rn^h~r! ~.~ ;

关 键 词：奇摄动 小参数 脉冲状对照结构 边界函数 缝接 

分 类 号：O175.14[理学—数学]