The Growth of Solutions of Higher Order Differential Equations with Coefficients Having the Same Order

被引：0
|
作者：
Yanyan ZHAN [1 ]
Lipeng XIAO [1 ]
机构：
[1] College of Mathematics and Information Science,Jiangxi Normal University
来源：
Journal of Mathematical Research with Applications | 2015年 / 35卷 / 04期
基金：
中国国家自然科学基金;
关键词：
order of growth; hyper-order; exponent of convergence of zero sequence; differential equation;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,we consider the growth of solutions of some homogeneous and nonhomogeneous higher order differential equations.It is proved that under some conditions for entire functions F,A;and polynomials P;（z）,Q;（z）(j=0,1,…,k-1;i=1,2)with degree n≥1,the equation f;+(A;（z）e;p;（z）)+A;（z）e;Q;)/;+…+(A;（z）e;+A;（z）e;)f=F,where k≥2,satisfies the properties:When F ≡0,all the non-zero solutions are of infinite order;when F=0,there exists at most one exceptional solution fo with finite order,and all other solutions satisfy λ（f）=λ（f）=σ（f）=∞.
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页码：387 / 399
页数：13
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