一类高阶时滞差分方程的有界持久性与全局渐近稳定性

李先义

一类高阶时滞差分方程的有界持久性与全局渐近稳定性

李先义^1,2

1.
南华大学, 数理部, 湖南衡阳, 421001;
2.
华东师范大学, 数学系, 上海, 200062

基金项目: 国家数学天元基金资助项目(TY10026002-01-05-03);湖南省教委科研基金资助项目(81-99C146)

详细信息

作者简介:
李先义(1966- ),湖南衡县人,副教授,博士(E-mail:xianyili6590@sina.com.cn).

中图分类号: O175.7
计量
- 文章访问数: 2562
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- 被引次数: 0
出版历程
- 收稿日期: 2001-03-27
- 修回日期: 2002-06-18
- 刊出日期: 2002-11-15

Boundedness and Persistence and Global Asymptotic Stability for a Class of Delay Difference Equations With Higher Order

LI Xian-yi^1,2

1.
Department of Mathematics and Physics, Nanhua University, Hengyang, Hunan 421001, P R China;
2.
Department of Mathematics, East China Normal University, Shanghai 200062, P R China

摘要

摘要: 获得一类高阶时滞差分方程解的有界持久性和全局渐近稳定性的充分条件;所得结果部分地解决了G.Ladas的2个公开问题,推广了一些已知结果。
- 时滞差分方程 /
- 有界持久性 /
- 全局渐近稳定性 /
- 公开问题
Abstract: Some sufficient conditions for boundedness and persistence and global asymptotic stability of solutions for a class of delay difference equations with higher order are obtained,which partly solve G. Ladas.two open problems and extend some known results.
- delay difference equation /
- boundedness and persistence /
- global asymptotic stability /
- open problem

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参考文献(10)

[1]	De Vault R, Ladas G, Schultz S W. On the recursive sequence x_n+1=(A/x_n^p)+B/(x_n-1^q)[A].In: Proceedings of the Second International Conference on Difference Equations[C]. Basel: Gorden and Breach Science Publishers,1996.
[2]	Philos Ch G, Purnaras I K, Sficas Y G. Global attractivity in a nonlinear difference equation[J]. Appl Math Comput,1994,62:249-258.
[3]	Ladas G. Open problems and conjectures[A]. In: Proceedings of the First International Conference on Difference Equations[C]. Basel: Gorden and Breach Science Publishers,1995,337-349.
[4]	Arciero M, Ladas G, Schultz S W. Some open problems about the solutions of the delay difference equation x_n+1=A/(x_n²)+1/(x_n-k^p)[J]. Proceedings of the Georgian Academy of Science Mathematics, 1993,1:257-262.
[5]	Brand L. A sequence defined by a difference equation[J]. Amer Math Monthly,1995,62:489-492.
[6]	De Vault R, Kocic V L, Ladas G. Global stability of a recursive sequence[J]. Dynamics Systems and Applications,1992,1:13-21.
[7]	Ladas G. Open problems and conjectures[A]. In: Proceedings of the First International Conference on Differnce Equations[C].Basel:Gorden and Breach Science Publishers,1995,337-349.
[8]	李先义,金银来. 对G.Ladas的一个Open问题的解答[J]. 数学杂志,2002,22(1):50-52.
[9]	李先义. 一类非线性时滞差分方程解的若干性质[J]. 应用数学,2000,13(1)::27-30.
[10]	Kocic V L, Ladas G. Global Behavior of Nonlinear Difference Equations of Higher Order with Applications[M]. Dordrect: Kluwer Academic Publishers,1993.