The Growth of Meromorphic Solutions of a Class of Delay-Differential Equations

Z. Li; J. Zhang

doi:10.1007/s10476-023-0203-9

The Growth of Meromorphic Solutions of a Class of Delay-Differential Equations

Z. Li^*
, J. Zhang

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	195-206
Number of pages	12
Journal	Analysis Mathematica
Volume	49
Issue number	1
DOIs	https://doi.org/10.1007/s10476-023-0203-9
State	Published - Mar 2023

Keywords

delay-differential equation
hyper-order
iteration sequence
meromorphic solution

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10.1007/s10476-023-0203-9

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title = "The Growth of Meromorphic Solutions of a Class of Delay-Differential Equations",

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.",

keywords = "delay-differential equation, hyper-order, iteration sequence, meromorphic solution",

author = "Z. Li and J. Zhang",

note = "Publisher Copyright: {\textcopyright} 2023, Akad{\'e}miai Kiad{\'o}.",

year = "2023",

month = mar,

doi = "10.1007/s10476-023-0203-9",

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AU - Li, Z.

AU - Zhang, J.

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AB - 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.

KW - delay-differential equation

KW - hyper-order

KW - iteration sequence

KW - meromorphic solution

UR - https://www.scopus.com/pages/publications/85147658954

U2 - 10.1007/s10476-023-0203-9

DO - 10.1007/s10476-023-0203-9

M3 - 文章

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JO - Analysis Mathematica

JF - Analysis Mathematica

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ER -

The Growth of Meromorphic Solutions of a Class of Delay-Differential Equations

Abstract

Keywords

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