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HYPER ORDER OF SOLUTIONS TO SOME LINEAR DIFFERENTIAL EQUATIONS IN THE UNIT DISC

HYPER ORDER OF SOLUTIONS TO SOME LINEAR DIFFERENTIAL EQUATIONS IN THE UNIT DISC
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摘要 In this paper, we investigate the growth of solutions to some linear diferential equations with analytic coefcients in the unit disc. When the coefcients of these equations have some special properties near a point on the boundary of the unit disc, the order and the hyper order of the solutions to these equations are estimated accurately. Especially, our conditions on the coefcients are more general and the results on the hyper order of the solutions are new to some extent. In this paper, we investigate the growth of solutions to some linear diferential equations with analytic coefcients in the unit disc. When the coefcients of these equations have some special properties near a point on the boundary of the unit disc, the order and the hyper order of the solutions to these equations are estimated accurately. Especially, our conditions on the coefcients are more general and the results on the hyper order of the solutions are new to some extent.
作者 Jing He Xiumin Zheng
机构地区 Institute of Math. and Information Science
出处 《Annals of Differential Equations》 2013年第4期406-414,共9页 微分方程年刊（英文版）
基金 supported by the National Natural Science Foundation of China(11301233 and 11171119) the Natural Science Foundation of Jiangxi Province(20114BAB211003 and 20122BAB211005)
关键词 analytic function unit disc order hyper order analytic function unit disc order hyper order
分类号 O175 [理学—基础数学]
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参考文献11

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共引文献23

Annals of Differential Equations
2013年 第4期

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