ENTIRE SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS HAVING THE SAME ORDER  

作　　者：冯子恒 黄志波 李叶舟 Ziheng FENG;Zhibo HUANG;Yezhou LI(School of Mathematical Sciences,South China Normal University,Guangzhou,510631,China;School of Science,Beijing University of Posts and Telecommunications,Beijing,100876,China)

机构地区：[1]School of Mathematical Sciences,South China Normal University,Guangzhou,510631,China [2]School of Science,Beijing University of Posts and Telecommunications,Beijing,100876,China

出　　处：《Acta Mathematica Scientia》2024年第1期355-368,共14页数学物理学报（B辑英文版）

基　　金：supported partly by the National Natural Science Foundation of China(11926201,12171050);the National Science Foundation of Guangdong Province(2018A030313508)。

摘　　要：In this paper,we consider entire solutions of higher order homogeneous differential equations with the entire coefficients having the same order,and prove that the entire solutions are of infinite lower order.The properties on the radial distribution,the limit direction of the Julia set and the existence of a Baker wandering domain of the entire solutions are also discussed.

关 键 词：entire solutions radial order Julia limiting direction Baker wandering domain transcendental direction 

分 类 号：O175[理学—数学]