复微分方程组及复微分-差分方程解的级  

The Order of Solutions of Systems of Complex Differential and Complex Differential-Difference Equations

作　　者：王钥[1] 张庆彩 WANG Yue;ZHANG Qingcai(College of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,China;School of Mathematics,Renmin University of China,Beijing 100872,China)

机构地区：[1]河北经贸大学数学与统计学学院,石家庄050061 [2]中国人民大学数学学院,北京100872

出　　处：《应用数学学报》2020年第1期108-118,共11页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11801132,11801133);河北省自然科学基金(A2015207007);河北省高等学校科学技术研究项目(QN2018041);河北经贸大学校内科研基金(2019QN07)资助项目

摘　　要：利用Zalcman关于正规族的方法,研究了两类复高阶微分方程组的亚纯解的增长级问题;同时,利用Nevanlinna值分布理论,讨论了两类复微分-差分方程的超越整函数解的增长级.所得结论推广和改进了一些文献的结果,并举例说明本文的结论精确.Using a result of Zalcman concerning normal families,we investigate the problem of the order of solution of two types of systems of complex higher-order differential equations.At the same time,using the Nevanlinna value distribution theory,we discuss the growth of transcendental entire solutions of two types of complex differential-difference equations,and obtain some results,which due to some results in references are in proved and generalized.Examples show that our results are precise.

关 键 词：正规族 复微分方程组 级 亚纯函数 复微分-差分方程 超越整函数解 

分 类 号：O174.52[理学—数学]