摘要
研究了二阶非线性奇摄动微分方程的边值问题.利用匹配原则和微分不等式原理,得到一阶非线性问题的渐近解,进而得到二阶奇摄动问题的解的渐近估计.
The boundary value problem for a second-order nonlinear singularly perturbed differential equation is discussed.By using the methods of matching techniques and differential inequalities,the asymptotic solution to the first-order nonlinear problem is obtained.Then,the asymptotic estimate of the solution to the second-order nonlinear singularly perturbed problem is obtained.
出处
《应用数学与计算数学学报》
2014年第1期72-77,共6页
Communication on Applied Mathematics and Computation
基金
supported by the National Natural Science Foundations of China(11071205,11101349)
the Natural Science Foundation of Jiangsu Province of China(BK2011042)
关键词
奇异摄动
渐近解
边界层
微分不等式
singular perturbation
asymptotic solution
boundary layer
differential inequalities theory
