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
DOI: 10.12677/PM.2014.45023, PDF, HTML, 下载: 2,717  浏览: 7,468  国家自然科学基金支持
作者: 龚 攀, 肖丽鹏：江西师范大学数学与信息科学学院，南昌
关键词: 微分方程；[p；q]级；单位圆；Differential Equations；[p；q] -Order； Unit Disc
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。
Abstract: 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.
文章引用：龚攀, 肖丽鹏. 单位圆内线性微分方程解的[p,q]级[J]. 理论数学, 2014, 4(5): 151-160. http://dx.doi.org/10.12677/PM.2014.45023

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