Exponential stability of a class of nonlinear difference equations in Banach spaces
Commun. Korean Math. Soc. 2017 Vol. 32, No. 4, 851-864
https://doi.org/10.4134/CKMS.c160038
Published online October 31, 2017
Nguyen Sinh Bay, Le Van Hien, Hieu Trinh
University of Commerce, Hanoi National University of Education, Deakin University
Abstract : 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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