Abstract
We obtain necessary conditions for certain type of rational delay-differential equations to allow the existence of a non-rational meromorphic solution with hyper-order less than one. In addition, we give a further discussion of the coefficients of a delay-differential equation with fixed degree.
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Acknowledgement
The authors would like to thank the referee for valuable suggestions to the present paper.
Funding
This research was supported by the NNSF of China (Grant No. 11201014). This study was also supported by the youth talent program of Beijing (Grant No. 29201443).
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Li, Z., Zhang, J. The Growth of Meromorphic Solutions of a Class of Delay-Differential Equations. Anal Math 49, 195–206 (2023). https://doi.org/10.1007/s10476-023-0203-9
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DOI: https://doi.org/10.1007/s10476-023-0203-9