Bull. Korean Math. Soc. 2018; 55(6): 1921-1930
Online first article November 7, 2018 Printed November 30, 2018
https://doi.org/10.4134/BKMS.b180054
Copyright © The Korean Mathematical Society.
Youssef N. Raffoul
University of Dayton
We consider a functional difference equation and use fixed point theory to obtain necessary and sufficient conditions for the asymptotic stability of its zero solution. At the end of the paper we apply our results to nonlinear Volterra infinite delay difference equations.
Keywords: functional, discrete, fixed point, Lyapunov functionals, Volterra
MSC numbers: Primary 39A10, 39A11, 39A12
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