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 non-linear delay differential equation under certain conditions.
"Growth on Meromorphic Solutions of Non-linear Delay Differential Equations." Bull. Belg. Math. Soc. Simon Stevin 26 (1) 131 - 147, march 2019. https://doi.org/10.36045/bbms/1553047233