Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2017; 32(4): 851-864

Online first article October 17, 2017      Printed October 31, 2017

https://doi.org/10.4134/CKMS.c160038

Copyright © The Korean Mathematical Society.

Exponential stability of a class of nonlinear difference equations in Banach spaces

Nguyen Sinh Bay, Le Van Hien, Hieu Trinh

University of Commerce, Hanoi National University of Education, Deakin University

Abstract

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The problems of global and local exponential stability analysis of a class of nonlinear non-autonomous difference equations in Banach spaces are studied in this paper. By a novel comparison technique, new explicit exponential stability conditions are derived. Numerical examples are given to illustrate the effectiveness of the obtained results.

Keywords: Halanay inequality, local exponential stability, difference equations in Banach spaces

MSC numbers: 39A30, 39B82, 93D20

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