二阶半线性微分积分方程两点问题的奇摄动

Singular perturbation of two point boundary value problem for second order semi-linear differentio-integral equation

利用渐近方法和对角化技巧研究了二阶半线性微分积分方程两点边值问题的奇摄动 ,在适当的假设下 ,证得此摄动问题的解存在 。

We are studying sinular perturbation of two point boundary value problem for second order semi-linear differentio-integral equation by using asymptotic method and diagonalization technique. Under some proper conditions, we prove the existence of solution for the perturbation problem and give the solution of the higher order asymptotic approximation about ε.