| 复微分方程组及复微分-差分方程解的级 |
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| 引用本文： | 王钥,张庆彩.复微分方程组及复微分-差分方程解的级[J].应用数学学报,2020(1):108-118. |
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| 作者姓名： | 王钥 张庆彩 |
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| 作者单位： | 河北经贸大学数学与统计学学院;中国人民大学数学学院 |
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| 基金项目： | 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 |
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| 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.
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| 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 |
The Order of Solutions of Systems of Complex Differential and Complex Differential-Difference Equations |
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| WANG Yue,ZHANG Qingcai.The Order of Solutions of Systems of Complex Differential and Complex Differential-Difference Equations[J].Acta Mathematicae Applicatae Sinica,2020(1):108-118. |
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| Authors: | WANG Yue ZHANG Qingcai |
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| Institution: | (College of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,China;School of Mathematics,Renmin University of China,Beijing 100872,China) |
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| Abstract: | 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. |
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| Keywords: | normal families systems of complex differential equations order meromorphic function complex differential-difference equations transcendental entire solution |
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