Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (4): 612-620.

Previous Articles     Next Articles

Global Asymptotic Stability of Zero Solution for Delay Difference Equations

  

  1. 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);

Abstract: The difference equation△xn+pnxn-k=f(n,xn-11,…,xn-1m,n= 0,1,2,…is considered,where{Pn}is a sequence of nonnegative real numbers,m∈{1,2,,…),k,l1,…,lm∈{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

CLC Number: