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http://dx.doi.org/10.4134/CKMS.c160038

EXPONENTIAL STABILITY OF A CLASS OF NONLINEAR DIFFERENCE EQUATIONS IN BANACH SPACES  

Nguyen, Sinh Bay (Department of Mathematics University of Commerce)
Le, Van Hien (Department of Mathematics Hanoi National University of Education)
Hieu, Trinh (School of Engineering Deakin University)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.4, 2017 , pp. 851-864 More about this Journal
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;
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