一类双参数三阶半线性方程边值问题的奇摄动  

Singular Perturbation Boundary Value Problem for A Class of Third-order Semilinear Equation with Two Parameters

作　　者：黄蔚章[1] 陈育森[1] 

机构地区：[1]福建师大福清分校,福建福清350300

出　　处：《数学研究》2003年第3期273-281,共9页Journal of Mathematical Study

基　　金：福建省教育厅科研项目(JB0040)

摘　　要：研究一类双参数三阶半线性方程边值问题的奇摄动,讨论了摄动解随两参数的不同量级所呈现的不同性态的边界层现象,并给出了解的一致有效的渐近展开式。In this paper , we study the singular perturbation of boundary value problem for a class of thira-order semilinear equation with two parameters. By the different quantity step of two parameters, we disscuss the boundary layer phenomena of different characters of perturbed solution, and give the umiformly valid asymptotic expansion of the different characters of perturbed solution, and give the umifornly valid asymptotic expansion of the solution.

关 键 词：半线性 双参数 奇摄动 渐近展开 

分 类 号：O175.8[理学—数学]