ON THE ZEROS OF SOLUTIONS OF A CLASS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS

被引：3

作者：

Tu, Jin ^{[1
]}

Yang, Xiang-Dong ^{[2
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R China

[2] Kunming Univ Sci & Technol, Dept Math, Kunming 650093, Peoples R China

来源：

KODAI MATHEMATICAL JOURNAL | 2010年 / 33卷 / 02期

关键词：

linear differential equation; entire function; zero; OSCILLATION;

D O I：

10.2996/kmj/1278076341

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the exponent of convergence of the zero-sequence of solutions of the second order linear differential equation f(n) + (Sigma(l)(j=1) Q(j)(z)e(Pj(z))) f = 0, where P-j(z) (j = 1, 2, ..., l >= 3) are polynomials of degree n >= 1, Q(j)(z) are entire functions of order less than n, and obtain some results which improve and generalize the previous results in [8, 9, 13].

引用

页码：251 / 266

页数：16

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