数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (1): 143-155.doi: 10.1007/s10473-023-0109-4

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A NOTE ON THE JULIA SETS OF ENTIRE SOLUTIONS TO DELAY DIFFERENTIAL EQUATIONS*

Yezhou Li, Heqing Sun   

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • 收稿日期:2021-08-11 修回日期:2022-06-30 发布日期:2023-03-01
  • 通讯作者: †Heqing SUN.E-mail: heqingsuncg1@163.com
  • 基金资助:
    *National Natural Science Foundation of China (12171050, 12071047) and the Fundamental Research Funds for the Central Universities(500421126).

A NOTE ON THE JULIA SETS OF ENTIRE SOLUTIONS TO DELAY DIFFERENTIAL EQUATIONS*

Yezhou Li, Heqing Sun   

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • Received:2021-08-11 Revised:2022-06-30 Published:2023-03-01
  • Contact: †Heqing SUN.E-mail: heqingsuncg1@163.com
  • About author:Yezhou Li, E-mail: yezhouli@bupt.edu.cn
  • Supported by:
    *National Natural Science Foundation of China (12171050, 12071047) and the Fundamental Research Funds for the Central Universities(500421126).

摘要: Let f be an entire solution of the Tumura-Clunie type non-linear delay differential equation. We mainly investigate the dynamical properties of Julia sets of f, and the lower bound estimates of the measure of related limiting directions is verified.

关键词: delay differential equation, dynamical properties, Julia sets, limiting directions

Abstract: Let f be an entire solution of the Tumura-Clunie type non-linear delay differential equation. We mainly investigate the dynamical properties of Julia sets of f, and the lower bound estimates of the measure of related limiting directions is verified.

Key words: delay differential equation, dynamical properties, Julia sets, limiting directions