二阶半线性微分方程奇摄动边值问题的研究

摘要

The construction of higher order asymptotic solution of boundary value problem for semilinear second order differential equations with sigular perturbation is studied .Then using the relevant theory of differential ineqalities, the esistence of solution can be proved and the error estimate of asymptotic solution and exact solution can be got.%研究奇异摄动二阶半线性微分方程边值问题高阶渐近近似解的构造,利用相关微分不等式理论证明解的存在性,并给出高阶渐近解的一致有效估计。