On the growth of solutions of second order linear differential equations with extremal coefficients

被引：15
|
作者：
Long, Jian Ren [1 ]
Wu, Peng Cheng [1 ]
Zhang, Zheng [1 ]
机构：
[1] Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Entire function; deficient value; Borel direction; order; OSCILLATION;
D O I：
10.1007/s10114-012-0648-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the differential equation faEuro(3) +A(z)f' +B(z)f = 0, where A and B a parts per thousand cent 0 are entire functions. Assume that A is extremal for Yang's inequality, then we will give some conditions on B which can guarantee that every non-trivial solution f of the equation is of infinite order.
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页码：365 / 372
页数：8
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