具有相同阶全系数的高阶微分方程的全解

IF 1.2 4区数学 Q1 MATHEMATICS Acta Mathematica Scientia Pub Date : 2023-11-29 DOI:10.1007/s10473-024-0119-x

Ziheng Feng, Zhibo Huang, Yezhou Li

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引用次数: 0

摘要

本文研究了全系数同阶的高阶齐次微分方程的全解，并证明了全解具有无穷低阶。讨论了整个解的径向分布、Julia集的极限方向和Baker漫游域的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Entire solutions of higher order differential equations with entire coefficients having the same order

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.

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来源期刊

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.