具有内层的三阶非线性边值问题的奇摄动  

Singular Perturbation of Third Order Nonlinear Boundary Value Problem with the Interior Layer

作　　者：倪守平[1] 

机构地区：[1]福建师范大学数学系

出　　处：《福建师范大学学报（自然科学版）》1989年第4期9-14,共6页Journal of Fujian Normal University：Natural Science Edition

摘　　要：本文在弱光滑退化解的情形下,研究一类三阶奇摄动边值问题解的存在性和当ε→0^+时解的渐近性态,利用微分不等式得到解和它的导函数的一致有效渐近展开式。In this paper we study the existence and asymptotic behavior as ε→0^+ of solution for a class of third order singularly perturbed boundary problem, under weakly smooth case of the reduced solution. Using the differential inequality, we obtain the uniformly valid asymptotic expansions of the solution and whose derivative.

关 键 词：非线性 边值问题 奇摄动 内层现象 

分 类 号：O175.13[理学—数学]