Growth of meromorphic solutions of delay differential equations
Complex Variables
2016-02-29 v1 Exactly Solvable and Integrable Systems
Abstract
Necessary conditions are obtained for certain types of rational delay differential equations to admit a non-rational meromorphic solution of hyper-order less than one. The equations obtained include delay Painlev\'e equations and equations solved by elliptic functions.
Keywords
Cite
@article{arxiv.1602.08318,
title = {Growth of meromorphic solutions of delay differential equations},
author = {Rod Halburd and Risto Korhonen},
journal= {arXiv preprint arXiv:1602.08318},
year = {2016}
}