Oscillation Theorems for Higher Order Periodic Linear Differential Equations

被引：0
|
作者：
Xiao, L. P. [1 ]
Chen, Z. X. [2 ]
机构：
[1] Jiangxi Normal Univ, Inst Math & Informat, Nanchang 330022, Jiangxi, Peoples R China
[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2010年 / 34卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Differential equation; Periodic; Linearly dependent; Complex oscillation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the higher linear differential equation Y-(k) + Sigma(k-2)(j-0) A(j)(z)y((j))(z) = 0, where k >= 3 and A(0),center dot center dot center dot, A(k-2) are entire functions of period 2 pi i, with Al the dominant coefficient. We obtain that under certain condition, every non -trivial solution of Eq. (*) satisfies the exponent of convergence of zeros equals to infinity.
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页码：537 / 551
页数：15
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