摘要
文中讨论了一类具有n阶转向点的大参数奇摄动方程。首先利用Liouville-Green变换构造出方程的外部解;然后引入伸展变量,利用Bessel函数,构造方程在转向点x=a附近的内层解;最后利用匹配原理确定外部解和内层解中的任意常数,从而得到方程在整个区域上一致有效的渐近解的表达式。
A class of singularly perturbed problems for larger parameter with turning point of n-th order is considered. Firstly,the outer solution is obtained using the Liouville-Green transform. Then,the interior layer solution near the x = a is constructed by introducing stretching transform and using the Bessel function. Finally,the arbitrary constants is selected for the outer solution and interior layer solution by using the matching principle. Thus,the representations for the uniformly valid asymptotic solution in the entire region are obtained.
出处
《西北大学学报（自然科学版）》
CAS
CSCD
北大核心
2015年第5期699-702,共4页
Journal of Northwest University（Natural Science Edition）
基金
国家自然科学基金资助项目(11202106)
安徽省高校自然科学基金资助项目(KJ2015A418)
国内访学基金资助项目
