ASYMPTOTIC BEHAVIOR OF NONLINEAR VOLTERRA DIFFERENCE SYSTEMS

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.

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2007, 44(1), , pp.177-184
Main Authors: Choi, Sung-Kyu, Goo, Yoon-Hoe, Koo, Nam-Jip
Format: Article
Language:Korean
Subjects:
수학
Online Access:Get full text
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Summary: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.
ISSN:1015-8634
2234-3016