探讨高阶有理差分方程的全局动力学行为的发展

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摘要本文主要探讨了非线性有理差分方程的全局渐近稳定性证明的发展历程,并总结了有理差分方程的全局动力学行为证明方法。

作者刘纯英

机构地区湖南人文科技学院数学与金融学院

出处《科技视界》 2016年第17期55-55,共1页 Science & Technology Vision

基金校级青年基金项目(2013QN08)

关键词差分方程全局渐近稳定性全局动力学行为

参考文献10

1AGARWAL R P.Difference equations and inequalities[M].2nd ed.New York:Marcel Dekker,1992.
2LI X.Global behavior for a fourth order rational difference equation[J].Math.Anal.Appl,2005,312:555-563.
3G.Ladas,Open problem and conjecture[J].Difference Equ.Appl,1995,1(1):161-163.
4LI X.The rule of semicycle and Global Asymptotic Stability for a FourthOrder Rational Difference Equation[J].Comput Math.Appl,2005,49:723-730.
5A.M.Amleh,N.Kruse,G.Ladas,D.A.On a class of difference equations with strong negative feedback[J].Difference Equ.Appl,1999,5:479-515.
6X.Li,D.Zhu,Global asymptotic stability for two recursive difference equations[J].Appl.Math.comput,2004(150):481-492.
7X.Li,D.Zhu,Two rational recursivs equence[J].comput.Math.Appl,2004,47:1487-1494.
8X.Li.The rule of semicycle and Global Asymptotic stability for a Fourth-order Rational Difference Equation[J].comput.Appl.Math,2005,49:723-730.
9X.Li.Qualitative properties for a Fourth-order Rational Difference Equation[J].Math.Anal.Appl,2005,311:103-111.
10X.Li.The rule of trajectory structure and global asymptotic stability[J].Math.Anal.Appl,2006,458:456-459.

科技视界

2016年第17期

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