Growth on Meromorphic Solutions of Differential–Difference Equations

By using Nevanlinna theory and linear algebra, we show that the number one is a lower bound of the hyper-order of any meromorphic solution of a nonlinear differential–difference equation under certain conditions.

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Bibliographic Details
Published in:Bulletin of the Malaysian Mathematical Sciences Society 2020-03, Vol.43 (2), p.1503-1515
Main Authors: Wang, Qiongyan, Zhan, Guoping, Hu, Peichu
Format: Article
Language:English
Subjects:
Applications of Mathematics
Difference equations
Differential equations
Linear algebra
Lower bounds
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
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Description
Summary:By using Nevanlinna theory and linear algebra, we show that the number one is a lower bound of the hyper-order of any meromorphic solution of a nonlinear differential–difference equation under certain conditions.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-019-00753-5