摘要
文章主要研究一类差分方程,其中aj>0,且ε是充分小的正常数,当1<sum from j=0 to ∞ aj=a<2和sum from j=0 to ∞ aj=a=∞时,通过构造李雅普诺夫函数的方法,根据李雅普诺夫稳定性定理,给出此差分方程在不同情况下解的渐近稳定性的充分条件。
In this paper, the differential equation is mainly discussed. In the equation αj〉0and e is a positive constant. As 1〈α〈2 and α=∞, by constructing the Lyapunov function and according to the Lyapunov stability theorem, the sufficient condition of the asymptotic behavior of this differential equation is offered under different conditions.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第11期1908-1909,1914,共3页
Journal of Hefei University of Technology：Natural Science
关键词
差分方程
稳定性
吸引性
渐近稳定性
李雅普诺夫函数
differential equation
stability
attractivity
asymptotic stability
Lyapunov function
