含两参数的三阶非线性常微分方程Robin边值问题的奇摄动(Ⅰ)  

Singular perturbation of Robin boundary value problem for third order nonliear ordinary differential equations involving two small parameters (Ⅰ)

作　　者：林苏榕[1] 

机构地区：[1]福建广播电视大学数学系,福建福州350003

出　　处：《宁夏大学学报（自然科学版）》2001年第3期259-262,共4页Journal of Ningxia University(Natural Science Edition)

摘　　要：研究含两参数的三阶非线性常微分方程Robin边值问题的奇摄动 ,在适当的条件下讨论了当 (ε/ μ2 )→ 0 (μ→ 0 )The singularly perturbed Robin boundary value problem for third order nonlinear ordinary differential equation involving two small parameters is considered in this paper.Under appropriate conditions,for the case that ( ε/μ 2)→0 (μ→0) the existence of solution and the uniformly valid asymptotic estimation are obtained.

关 键 词：三阶非线性常微分方程 ROBIN边值问题 奇摄动 渐近展开 渐近估计 

分 类 号：O175.14[理学—数学] O175.8[理学—基础数学]