考虑了一类带高阶转向点的奇摄动特征值问题,采用Langer变换等方法,得到方程的由Bessel函数表示的一致有效的渐近解,并给出问题的特征值,进一步推广了已有结论.
In this paper, an eigenvalue problem with turning points of high order is studied. Using the Lan ger transformation, the uniformly valid asymptotic solution, expressed by Bessel functions, of the equa tion is considered and the eigenvalues of the problem are given, which generalize the known results.