Growth of meromorphic solutions of delay differential equations

2016/02/26 by Halburd, Rod, Korhonen, Risto · 3 citations
#30D35 (primary) 34K40 #34M55 (secondary) #Complex Variables (math.CV) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences

paper · doi:10.48550/arxiv.1602.08318

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 Painlevé equations and equations solved by elliptic functions.

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