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Zeros, poles, and fixed points of solution and its difference for some types of difference equations
Lithuanian Mathematical Journal ( IF 0.5 ) Pub Date : 2020-10-01 , DOI: 10.1007/s10986-020-09503-8
Hong Yan Xu , Xiu Min Zheng

The main purpose of this paper is studying some properties on the growth and value distribution of solutions of some difference equations. We obtain some results on the existence and estimates of growth of solutions f for some difference equations and some estimates of the exponent of convergence of poles of Δf, Δ2f, Δf/f, and Δ2f/f, which improve and extend the previous results given by Chen, Li, Huang et al. Moreover, we also give some examples to show the extension of solutions of some equations.

中文翻译:

零点、极点和解的不动点及其对某些类型差分方程的差异

本文的主要目的是研究一些差分方程解的增长和值分布的一些性质。我们得到了一些差分方程解 f 的存在性和增长的估计以及 Δf、Δ2f、Δf/f 和 Δ2f/f 极点收敛指数的一些估计,这些结果改进和扩展了先前给出的结果陈,李,黄等人。此外,我们还给出了一些例子来说明一些方程的解的推广。
更新日期:2020-10-01
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