非线性奇摄动方程的脉冲解  

Spike-like solutions of nonlinear singularly perturbed equations

作　　者：朱振波[1,2] 林武忠[1,2] 

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-研究院上海交通大学研究所,上海200030

出　　处：《华东师范大学学报（自然科学版）》2009年第1期37-42,共6页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(10671070);上海市教育委员会E-研究院资助项目(E03004);地理信息科学教育部重点实验室开放课题

摘　　要：对一类比较一般的施图姆-刘维尔型奇摄动问题,揭示了其脉冲解的存在性,并相应地给出了脉冲解的存在性条件.利用边界层函数法构造其一致有效渐近解,以及进行余项估计.最后通过一个例子来进一步验证前面的结论.The existence of spike-like solutions of a class of Sturm-Liouville singularly perturbed problem was investigated and its sufficient condition was given. Meanwhile, the uniformly valid asymptotic solutions were constructed by the method of boundary layer functions and remainder estimation was presented. Finally, an example was given to illustrate the obtained results.

关 键 词：奇摄动 边界层函数 脉冲解 

分 类 号：O175.4[理学—数学]