LYAPUNOV FUNCTIONS FOR NONLINEAR DIFFERENCE EQUATIONS

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Published: Nov 15, 2011
DOI: https://doi.org/10.14403/jcms.2011.24.4.883
Keywords:
n∞-summable similarity, nonlinear difference systems, h-stability, variational systems, Lyapunov functions
Mathematics Subject Classification (2020):
Primary 39A10, 39A12

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Sung Kyu Choi
Department of Mathematics, Chungnam National University
Yinhua Cui
Department of Applied Mathematics, Paichai University
Namjip Koo
Department of Mathematics, Chungnam National University

Abstract





In this paper we study h-stability of the solutions of nonlinear difference system via the notion of n∞-summable similarity between its variational systems. Also, we show that two concepts of h-stability and h-stability in variation for nonlinear difference systems are equivalent. Furthermore, we characterize h-stability for nonlinear difference systems by using Lyapunov functions.





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Article Details

Issue
Vol. 24 No. 4 (2011)
Section
Articles