时滞差分方程零解的全局渐近稳定性

数学季刊 ›› 2007, Vol. 22 ›› Issue (4): 612-620.

时滞差分方程零解的全局渐近稳定性

Department of Mathematics,Xuchang Vocational Technical College,Xuchang,461000 China

收稿日期:2005-07-12 出版日期:2007-12-30 发布日期:2023-10-24
作者简介:QI Zheng-shen(1963-), male, native of Yuzhou, Henan, an associate professor of Xuchang Vo- cational Technicial College, engages in difference equations.
基金资助:
Supported by Natural Science Foundaton of Henan Providence(0111051200)；

Global Asymptotic Stability of Zero Solution for Delay Difference Equations

Department of Mathematics,Xuchang Vocational Technical College,Xuchang,461000 China

Received:2005-07-12 Online:2007-12-30 Published:2023-10-24
About author:QI Zheng-shen(1963-), male, native of Yuzhou, Henan, an associate professor of Xuchang Vo- cational Technicial College, engages in difference equations.
Supported by:
Supported by Natural Science Foundaton of Henan Providence(0111051200)；

摘要/Abstract

摘要： The difference equation△x_n+p_nx_n-k=f(n,x_n-11,…,x_n-1m,n= 0,1,2,…is considered,where{Pn}is a sequence of nonnegative real numbers,m∈{1,2,,…),k,l₁,…,l_m∈{0,1,2,,…}.Some sufficient conditions for the global asymp- totic stability of zero solution of the equation are obtained.

关键词: difference equation, global asymptotic stability, sufficient condition

Abstract: The difference equation△x_n+p_nx_n-k=f(n,x_n-11,…,x_n-1m,n= 0,1,2,…is considered,where{Pn}is a sequence of nonnegative real numbers,m∈{1,2,,…),k,l₁,…,l_m∈{0,1,2,,…}.Some sufficient conditions for the global asymp- totic stability of zero solution of the equation are obtained.

Key words: difference equation, global asymptotic stability, sufficient condition

中图分类号:

O175

亓正申, 王鸿燕. 时滞差分方程零解的全局渐近稳定性[J]. 数学季刊, 2007, 22(4): 612-620.

QI Zheng-shen, WANG Hong-yan . Global Asymptotic Stability of Zero Solution for Delay Difference Equations[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(4): 612-620.

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