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

作　　者：范建生[1] 

机构地区：[1]福建商业高等专科学校,福建福州350012

出　　处：《福州大学学报（自然科学版）》2002年第4期409-412,共4页Journal of Fuzhou University(Natural Science Edition)

摘　　要：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.

关 键 词：二阶半线性微分积分方程 两点问题 两点边值问题 奇异摄动 渐近方法 对角化 形式渐近解 

分 类 号：O175.6[理学—数学] O175.8[理学—基础数学]