Globally Asymptotical Stability of the Difference xn+1=f(xn,xn-k)
YAO Yong
KONG Chunli
LI Zuxiong
Abstract：In this paper,we consider all negative solutions of globally asymptotical stability of the differ-ence equation xn+1=f(xn,xn-k) under some certain assumptions.We obtain that its unique negative equi-librium is globally asymptotical stability.When these results are applied to the difference equation,xn+1=α+xn-k xn the invariant interval of allnegative solutions and some sufficient conditions of globally asymptoti-cal stability of the equation are obtained.
Keywords：difference equationinvariant intervalglobally asymptotical stability
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 393-397 )