一类二阶差分方程稳定性定理的证明
摘要
给出了二阶差分方程■渐近稳定性质方面的两个定理,并给出与文献~([1])不同的动力学证明方法。另外,将方程改成■,得到了关于全局渐近稳定性的两个定理。
引文
[1] Kulenovic M R S and Ladas G.Dynamics of Second Order Rational Difference Equations:with Problems and Conjectures[M].Washington:Chapman&Hall,2000:93-101.
[2] Agarwal R P. Difference Equations and Inequalities[M], New York:Marcel Dekker, 1992:14-15
[3] Agarwal R P, and Grace S. R. and D. Oscillation Theory for Difference Equations and Functioncal Difference Equations[M].Dordrecht:Kluwer Academic Publishers, 2000:45-48.
[4] Kosmala W A, Kulenovic M R S, Ladas G, et al. On the Recursive Sequence, Journal of Mathematical Analysis and Applications[J]. 2000(251):501-532.
[5] Kelley W G. and Peterson A C. Difference Equations with Applications[M]. New York:Acadv. Press, 1991:1-98.
[6]伍晖,孙太祥,韩彩虹.关于差分方程正解的有界性[J].广西科学,2008,15(4):361-363.
[7]王琦,韩松,严可颂,等.一类差分方程的动力学[J].广西工学院学报,2009,20(1):59-62.
[8]袁晓红,晏兴学,苏有慧.一类有理差分方程的周期性和振动性[J].河西学院学报,2009,25(2):7-13.
[9]完巧玲.差分方程的全局稳定性[J].陇东学院学院,2009,20(2):6-8.
[2] Agarwal R P. Difference Equations and Inequalities[M], New York:Marcel Dekker, 1992:14-15
[3] Agarwal R P, and Grace S. R. and D. Oscillation Theory for Difference Equations and Functioncal Difference Equations[M].Dordrecht:Kluwer Academic Publishers, 2000:45-48.
[4] Kosmala W A, Kulenovic M R S, Ladas G, et al. On the Recursive Sequence, Journal of Mathematical Analysis and Applications[J]. 2000(251):501-532.
[5] Kelley W G. and Peterson A C. Difference Equations with Applications[M]. New York:Acadv. Press, 1991:1-98.
[6]伍晖,孙太祥,韩彩虹.关于差分方程正解的有界性[J].广西科学,2008,15(4):361-363.
[7]王琦,韩松,严可颂,等.一类差分方程的动力学[J].广西工学院学报,2009,20(1):59-62.
[8]袁晓红,晏兴学,苏有慧.一类有理差分方程的周期性和振动性[J].河西学院学报,2009,25(2):7-13.
[9]完巧玲.差分方程的全局稳定性[J].陇东学院学院,2009,20(2):6-8.