标题:
单位圆内线性微分方程解的[p,q]级[p,q] -Order of Solutions of Linear Differential Equations in the Unit Disc
作者:
龚攀, 肖丽鹏
关键字:
微分方程, [p, q]级, 单位圆Differential Equations, [p, q] -Order, Unit Disc
期刊名称:
《Pure Mathematics》, Vol.4 No.5, 2014-09-01
摘要:
主要研究单位圆内二阶线性微分方程 f”+A1(z) f’+ A0(z) f=F(z)解的[p,q]级，其中A0(z)，A1(z)和F(z)是单位圆内解析函数。我们将得到一些微分方程解的复振荡结论。
In this paper, we investigate the [p,q]-order of solution of second-order linear differential equa-tion f”+A1(z) f’+ A0(z) f=F(z), where A0(z), A1(z) and F(z) are analytic functions in the unit disc. We obtain several theorems about the growth and oscillation of solutions of differential equations.