关于差分方程的定性行为 $\delta _{m+1}=\omega +\zeta \frac{f(\delta _{m},\delta _{m-1})}{\delta _{m-1}^{\beta}}$

M. Gümüş, Şeyma Irmak Eği̇lmez
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引用次数: 0

摘要

本文的目的是研究一类一般非线性差分方程的定性性质。即对素数周期二解、素数周期三解及其稳定性进行了研究。我们还使用E. M. Elsayed在[1]中引入的一种新技术,后来由O. Moaaz在[2]中发展起来,来检验这些一般方程周期解的存在性。此外,我们使用齐次函数来研究上述方程的动力学。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the Qualitative Behavior of the Difference Equation $\delta _{m+1}=\omega +\zeta \frac{f(\delta _{m},\delta _{m-1})}{\delta _{m-1}^{\beta}}$
In this paper, we aim to investigate the qualitative behavior of a general class of non-linear difference equations. That is, the prime period two solutions, the prime period three solutions and the stability character are examined. We also use a new technique introduced in [1] by E. M. Elsayed and later developed by O. Moaaz in [2] to examine the existence of periodic solutions of these general equations. Moreover, we use homogeneous functions for the investigation of the dynamics of the aforementioned equations.
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