非线性差分方程Xn=qx-1n-1+pxn-2解的性态
Properties of the Solution of the Nonlinear Difference Equation Xn=qx-1n1+pxn-2
DOI: 10.12677/PM.2015.55033, PDF, HTML, XML, 下载: 2,867  浏览: 6,986  科研立项经费支持
作者: 冯 伟*：北京航空航天大学数学与系统科学学院，北京；冯宇辰：北京四中，北京
关键词: 差分方程；非线性；有界性；收敛性；Difference Equation； Nonlinear； Boundedness； Convergence
摘要: 本文给出了差分方程Xn=qx-1n-1+pxn-2解的有界性的一个充分性条件，同时探讨了解了收敛性及二周期点存在的充分必要条件。

In this paper, we obtain one sufficient condition of the boundedness of equation Xn=qx-1n-1+pxn-2 , and discuss the convergence of the solution of equation and the sufficient and necessary condition of existence of the periodic point with period 2 of the equation.

文章引用：冯伟, 冯宇辰. 非线性差分方程Xn=qx-1n-1+pxn-2解的性态[J]. 理论数学, 2015, 5(5): 233-237. http://dx.doi.org/10.12677/PM.2015.55033

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