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.
作者
王钥
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)
出处
《应用数学学报》
CSCD
北大核心
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
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
normal families
systems of complex differential equations
order
meromorphic function
complex differential-difference equations
transcendental entire solution
