两类复微分-差分方程组的整函数解

高凌云

数学学报 ›› 2016, Vol. 59 ›› Issue (5) : 677-684.

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PDF(346 KB)
数学学报 ›› 2016, Vol. 59 ›› Issue (5) : 677-684. DOI: 10.12386/A2016sxxb0061
论文

两类复微分-差分方程组的整函数解

    高凌云
作者信息 +

Entire Solutions of Two Types of Systems of Complex Differential-Difference Equations

    Ling Yun GAO
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文章历史 +

摘要

{利用Nevanlinna值分布理论以及复差分和复微分理论,讨论了两类复微分-差分方程组的有限级超越整函数解问题,得到了两个结果,并将涉及微分或差分方程的某些结果推广至复微分-差分方程组中.

Abstract

By Nevanlinna theory of the value distribution, and the theory of complex differential and complex difference, we will mainly investigate entire solutions with finite order of two types of systems of differential-difference equations, and obtain two results. It extends some results concerning complex differential (difference) equations to the systems of differential-difference equations.

关键词

微分-差分方程 / 整函数解 / 亚纯函数

Key words

Differential-difference equation / entire solution / meromorphic functions

引用本文

导出引用
高凌云. 两类复微分-差分方程组的整函数解. 数学学报, 2016, 59(5): 677-684 https://doi.org/10.12386/A2016sxxb0061
Ling Yun GAO. Entire Solutions of Two Types of Systems of Complex Differential-Difference Equations. Acta Mathematica Sinica, Chinese Series, 2016, 59(5): 677-684 https://doi.org/10.12386/A2016sxxb0061

参考文献

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