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多类复微分-差分方程的亚纯解(英文)

Meromorphic Solutions of Some Types of Complex Differential-Difference Equations
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摘要 利用亚纯函数的Nevanlinna值分布理论,研究多类复微分-差分方程的亚纯解的存在问题,以及对亚纯解的一些性质进行讨论,并得到一些结论,所得结论推广和改进了一些文献的结果.例子表明本文的结论精确. Using Nevanlinna theory of the value distribution of meromorphic functions, we investigate the problem of the existence of meromorphic solutions of some types of complex differential-difference equations and some properties of meromorphic solutions, and we obtain some results, which are the improvements and extensions of some results in references. Examples show that our results are precise.
出处 《应用数学》 CSCD 北大核心 2017年第4期936-945,共10页 Mathematica Applicata
基金 Supported by the National Natural Science Foundation of China(11171013,11461054) Natural Science Foundation of Hebei Province(A2015207007) Youth of Project of the office of Education of Hebei Province(SQ161057) Key Project of Science and Research of Hebei University of Economics and Business(2017KY04)
关键词 值分布理论 亚纯解 复微分-差分方程 Value distribution Meromorphic solution Complex differential-differenceequation
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