Property of Meromorphic Solutions of Certain Nonlinear Differential and Difference Equations
Property of Meromorphic Solutions of Certain Nonlinear Differential and Difference Equations
复制标题
DOI：
--
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Chen Zong-xuan
中科院分区：
文献类型：
--
作者：
Chen Zong-xuan
应用亚纯函数的Nevanlinna值分布理论，研究了以下问题：研究了几类非线性差分方程的有限阶超越亚纯解的存在性，以及形如fn（z）+M（z，f）=h（z）的微分差分方程的有限阶超越整函数解的存在性，其中n（≥3）为整数，h（z）为给定的非零有理函数，M（z，f）是f中的线性微分-差分多项式。
By applying Nevanlinna's value distribution theory of meromorphic functions,the following problems are investigated: the existence of finite order transcendental meromorphic solutions of several kinds nonlinear difference equations,and the existence of finite order transcendental entire function solutions of differential-difference equations with the form f n(z)+M(z,f)=h(z),where n(≥3) is an integer,h(z) is a given non-vanishing rational function,and M(z,f) is a linear differential-difference polynomial in f.