Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2005; 20(2): 351-358

Printed June 1, 2005

Copyright © The Korean Mathematical Society.

On asymptotic property for nonlinear difference systems

Sung Kyu Choi, Nam Jip Koo, Dong Man Im

Chungnam National University, Chungnam National University, Chongju University

Abstract

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We study asymptotic equivalence between nonlinear difference system $$\Delta x(n)=f(n,x(n)) $$ and its variational system $$\Delta v(n)=f_x(n,0)v(n).$$

Keywords: asymptotic equilibrium, asymptotic equivalence, nonlinear difference system, variational system, comparison principle

MSC numbers: 34D10, 39A11

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