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.