GROWTH OF MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Wang, Lijun [1 ]
Liu, Huifang [1 ]
机构：
[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年
基金：
中国国家自然科学基金;
关键词：
Meromorphic function; differential equations; growth; order; F'';
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we investigate the growth of meromorphic solutions of the differential equations f((k)) + A(k-1)f((k-1)) + center dot center dot center dot + A(0)f = 0, f((k)) + A(k-1)f((k-1)) + center dot center dot center dot + A(0)f = F, where A(j), F (j = 0,..., k - 1) are meromorphic functions. When there exists one dominant coefficient with lower order less than 1/2, we obtain some estimations of the hyper order and the hyper convergence exponent of zeros of meromorphic solutions of the above equations.
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页数：11
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