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

^*此作品的通讯作者

数学科学学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	195-206
页数	12
期刊	Analysis Mathematica
卷	49
期	1
DOI	https://doi.org/10.1007/s10476-023-0203-9
出版状态	已出版 - 3月 2023

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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",

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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

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DO - 10.1007/s10476-023-0203-9

M3 - 文章

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

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