摘要
本文研究n阶非线性过值问题(NB)的奇异摄动。在较一般的条件下,应用高阶微分不等式理论证明了摄动解的存在性,并给出了摄动解直到n阶导函数的一致有效渐近展开式,推广和改进了已有的结果。
In the present paper, the singular perturbations for the nth-order nonlinear boundaryvalue problem (NB) are investigated. Under some mild conditions, the existence of theperturbed solution is proved and its uniformly valid asymptotic expansion up to its nth-or-der derivative function is given out by employing the higher order differential inequalities.So we extend and improve the existing results obtained.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1996年第2期167-172,共6页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词
非线性
边值问题
微分方程
奇摄动
渐近展开
nth-order Nonlinear Boundary Value Problem
Singular Perturbation
Higher Order Differential Inequality
Uniformly Valid Asymptotic Expansion
