含两参数的二阶常微分方程Cauchy问题解的多重层性质  

Multiple Boundary Layer Property of Solution of Cauchy's Problem of Second Order Orinary Differential Equation

作　　者：林苏榕[1] 

机构地区：[1]福建广播电视大学计算机系,福州350003

出　　处：《大学数学》2010年第2期94-98,共5页College Mathematics

摘　　要：研究含两参数的二阶常微分方程Cauchy问题解的多重层性质,根据不同层次引用不同的伸长变量,分别构造了具有不同量级的边界层校正项,从而证得关于解的一致有效的渐近展开式和有关的余项估计.The author studied the multiple boundary layer property of solution of Cauchy＇s problem of second order ordinary differential equation. According to the various layer sequence she used various stretch variables and respectively constructed boundary layer correction terms with various quantitative order. Thereby the uniformly valid asymptotic expansion of solution and the estimation of corresponding the remainder term are obtained.

关 键 词：双参数 CAUCHY问题 多重层性质 

分 类 号：O175.12[理学—数学]