# ASYMPTOTIC BEHAVIOR OF NONLINEAR VOLTERRA DIFFERENCE SYSTEMS

• Choi, Sung-Kyu (Department of Mathematics Chungnam National University) ;
• Goo, Yoon-Hoe (Department of Mathematics Hanseo University) ;
• Koo, Nam-Jip (Department of Mathematics Chungnam National University)
• Published : 2007.02.28
• 88 2

#### Abstract

We study the asymptotic behavior of nonlinear Volterra difference system $$x(n+1)=f(n,x(n))+{\sum\limits^{n}_{s=n_{o}}\;g(n,s,x(s)),\;x(n_{o})=xo$$ by using the resolvent matrix R(n, m) of the corresponding linear Volterra system and the comparison principle.

#### Keywords

asymptotic equivalence;asymptotic equilibrium;nonlinear Volterra difference system;resolvent matrix;comparison principle

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