摘要
本文研究奇摄动二阶常微分方程非线性混合边值问题。利用复合展开法,构造了高阶边界层形式渐近解,并借助微分不等式技巧,证明了原问题的解的存在性,且给出解的一致有效渐近估计。
In this paper we investigate the nonlinear mixed boundary value problem for the second order ordinary differential equation.By means of the method of composite expansion,we construct the higher order formally asympt- otic solution involving boundary layer,and using the technique of differenti- al inequality,we prove the existence of solution of the original problem,and give the uniformly valid asymptotic estimation of the solution.
基金
国家自然科学基金
关键词
奇摄动
混合边值问题
非线性方程
Singular perturbation
Nonlinear mixed boundary value problem
Differential inequality
Existence
Estimation of solution
