| 复区域上线性微分方程解的振荡结果 |
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| 引用本文： | 叶中秋. 复区域上线性微分方程解的振荡结果[J]. 江西师范大学学报(自然科学版), 2002, 26(1): 10-14 |
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| 作者姓名： | 叶中秋 |
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| 作者单位： | 江西师范大学,数学与信息科学学院,江西,南昌,330027 |
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| 基金项目： | 国家自然科学基金资助项目(19761002) |
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| 摘 要： | 考虑二阶微分方程f ″+[exp(P1)+exp(P 2)+Q(z)]f=0,这里P1=p1zn+…,P2=p2zn+…是非常数多项式,Q(z)是阶小于 n的整函数, 该文研究当-1＜p2/p1＜0时,方程解的振荡结果.
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| 关 键 词： | 复振荡 Nevanlinna理论 值分布 |
| 文章编号： | 1000-5862(2002)01-0010-05 |
| 修稿时间： | 2001-10-08 |
Oscillation Result for Solutions of Linear Differential Equati ons in the Complex Domain |
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| Abstract: | We consider the second order equation f ″+(eP1+eP2 +Q(z))f=0,where P1(z)=p1zn+...,P2(z)=p2zn+...,are non-constant polynomials,Q(z) is an entire function and order of Q is less than n.Bank, Laine and Langley studied the cases when Q is a polynomial and p1/p2 is either no n-re al negative, Ishizaki and Tohge studied the cases when p1=p2 ,p1/p 2 is non-real or p2/p1＜1/2.In this paper we treat the case when -1＜p2/p1＜0. |
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| Keywords: | complex oscillation Nevanlinna theorem value dist ribution |
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