Admissible meromorphic solutions of algebraic differential-difference equations

被引：3
|
作者：
Wang, Qiong-Yan [1 ]
机构：
[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 09期
关键词：
admissible solution; differential-difference equation; hyper-order; Nevanlinna theory; GROWTH;
D O I：
10.1002/mma.5564
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using Nevanlinna theory, we generalize a result given by Wittich to complex differential-difference equations. The result obtained is that the differential-difference equation in f which is of only one dominant term, has no admissible meromorphic solution f with hyper-order less than 1 provided N(r,f) = S(r,f).
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页码：3044 / 3053
页数：10
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