摘要
研究含两参数的非线性高阶常微分方程 Robin边值问题的奇摄动 ,在适当的条件下利用两参数展开法和微分不等式理论得到给定问题的三种情形ε/μ2 → 0 (μ→ 0 ) ,μ2 /ε→ 0 (ε→ 0 )和ε=μ2
The singular perturbation of Robin boundary value problem for nonlinear higher order ordinary differential equation involving two small parameters is considered.Under appropriate assumtions,for the three cases ε/μ 2→0(μ→0),μ 2/ε→0(ε→0) and ε=μ 2 the uniformly valid asymptotic solutions of given problem are obtbained by using the method of two parameters expansions and the differential inequality theory.
出处
《福建师范大学学报(自然科学版)》
CAS
CSCD
2001年第4期1-6,共6页
Journal of Fujian Normal University:Natural Science Edition