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

被引：18

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.

引用

页码：365 / 372

页数：8

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