| 关于非线性复方程整函数解的几个结果 |
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| 引用本文： | 刘凯,邓中书,刘新玲.关于非线性复方程整函数解的几个结果[J].南昌大学学报(理科版),2011,35(5):1. |
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| 作者姓名： | 刘凯 邓中书 刘新玲 |
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| 作者单位： | 南昌大学数学系； 南昌大学期刊社； |
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| 基金项目： | 国家自然科学基金资助项目(11101201,11026110); 江西省自然科学基金资助项目(2010GQS0144); 江西省教育厅基金资助项目(GJJ11043) |
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| 摘 要： | 经典的Nevanlinna理论是研究复微分方程解的性质的有效工具,而Halburd和Korhonen,Chiang和Feng分别给出了差分的对数导数引理的不同版本,在此基础上建立起来的差分的Nevanlinna理论为研究复差分方程,复差分多项式理论提供了理论的基础。主要利用差分的Nevanlinna理论,研究各种
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| 关 键 词： | 有穷级 非线性方程 整函数 差分微分方程 |
Some results on solutions of nonlinear differential-difference equations |
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| LIU Kai
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DENG Zhong-shu
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LIU Xin-ling.Some results on solutions of nonlinear differential-difference equations[J].Journal of Nanchang University(Natural Science),2011,35(5):1. |
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| Authors: | LIU Kai DENG Zhong-shu LIU Xin-ling |
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| Institution: | LIU Kai1,DENG Zhong-shu2,LIU Xin-ling1(a.Department of Mathematics,Nanchang University,Nanchang 330031,China,b.Editorial Department of Journal,Nanchang 330047,China) |
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| Abstract: | The classical Nevanlinna theory has been extensively applied to investigate the solutions of differential equation.Base on the difference of the lemma of derivative pvopole by Halburd and Korhonen,Chiang and Feng,the difference Nevanlinna theory has been established,which can be used to study the theory of complex difference equations and complex difference polynomials.In this paper,using the basic difference Nevanlinna theory,we derived and obtained some results related to the existence of transcendental e... |
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| Keywords: | nonlinear equation difference-differential function entire function finite order |
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