# 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)
• Received : 2016.02.22
• Accepted : 2017.06.28
• Published : 2017.10.31

#### 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.

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