Acta mathematica scientia,Series B ›› 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
  • 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).

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

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