【摘要】 考虑了一类具有转向点的奇摄动二阶线性微分方程。利用中间变量匹配法,通过选择适当的尺度变量,将外展开式与内层的内展开式进行匹配,从而构造出复合展开式,得到该方程在整个区间上一致有效的近似解。更多还原

【Abstract】 Some singularly perturbed second order linear differential equations with turning points are considered. Using the immediate variable matching procedure,a composite expansion is constructed to match the outer expansion with the inner expansion by choosing appropriate scale variable. An approximation solution that is uniformly valid over the whole interval is obtained.更多还原