摘要
研究五阶时滞线性差分方程x_(n+5)-ax_n+bx_(n-k)=0,n=0,1,2,…的稳定性,得到了上述方程零解渐近稳定的充要条件,其中a,b是常数,k正整数.
In this paper, we will give a necessary and sufficient condition for the zero solution of fifth order delay difference equations of the form
xn＋5-axn ＋bxn-k=0, n = 0, 1, 2,…
to be asymptotically stable, which is easy to verify and to apply, where a and b are nonzero real constants, k is a positive integer.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第16期201-213,共13页
Mathematics in Practice and Theory
基金
黑龙江省自然科学基金(A0207)
关键词
时滞差分方程
特征方程
渐近稳定
delay difference equation
characteristic equation
asymptotic stability
