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Chyzhykov, I.E., Gundersen, G.G. and Heittokangas, J. (2003) Linear differential equations and loga-rithmic derivative estimates. Proceedings of the London Mathematical Society, 86, 735-754.

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• 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.