一类非线性复微分差分方程超越整函数解的性质  

Properties of Transcendental Entire Solutions for a Certain Type of Nonlinear Complex Differential-Difference Equations

作　　者：廖志华 付雨欣 蒋业阳 Liao Zhihua;Fu Yuxin;Jiang Yeyang(School of Big Data Science,Jiangxi Science&Technology Normal University,Nanchang 330038,Jiangxi,P.R.China)

机构地区：[1]江西科技师范大学大数据科学学院,江西南昌330038

出　　处：《江西科技师范大学学报》2023年第6期95-99,共5页Journal of Jiangxi Science & Technology Normal University

基　　金：江西省自然科学基金项目(20202BABL211002,20212BAB201012)。

摘　　要：本文主要运用亚纯函数值分布理论及其差分模拟和Hadamard分解定理,研究了一类非线性复微分差分方程超越整函数解的增长级和零点收敛指数问题,并分析了该类方程的超越整函数解是指数单项式形式解时的情形。In this paper,using the theory of value distribution of meromorphic functions,the theory of difference analogue and the Hadamard factorization theorem,we mainly studied the order of the growth and the exponent of convergence of zeros of transcendental entire solutions for some nonlinear complex differential-difference equations.We also analyzed the case where the transendental entire solutions are exponential monomial functions for this type of equations.

关 键 词：NEVANLINNA理论 非线性复微分差分方程 零点收敛指数 指数型多项式 

分 类 号：O174.52[理学—数学]