研究了系数函数是有限个极点的亚纯函数的高阶慢增长系数线性微分方程,得到了当方程系数受到很小的扰动时其解的复振荡的一个结果.推广了Alotaibi等作者的结果.
This article is devoted to studying the higher order linear differential equations f^(k) + Ak-2f^(k-2) +… + A1f' + A0f = 0, where Aj(z) (j = O,i,...,k- 2) are meromorphic functions with at most finitely many poles. We show that small perturbations of such equations lead to solutions whose zeros must have infinite exponent of convergence. Extends some results of Alotaibi etc.