摘要
运用角域上值分布的理论和方法,研究了高阶非齐次线性微分方程的无穷级解沿径向上的振荡性质,得到了方程的无穷级解沿Borel方向上的超级和超级零点收敛指数的估计.
It is investigated that the radial oscillation of infinite order solutions of higher order nonhomogeneous linear differential equation, by using the fundamental theory and method of value distribution in angular domain. It was obtained that the estimations on the hyper order and the hyper order convergence exponent of the sequence of zero of infinite order solutions along it＇ s Borel direction of hyper order.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2014年第2期162-166,共5页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(11171170)资助项目
关键词
微分方程
解
角域
径向
BOREL方向
超级
differential equations
solutions
angular domain
radial
Borel direction
hyper order
