Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2014; 29(1): 195-204

Printed January 31, 2014

https://doi.org/10.4134/CKMS.2014.29.1.195

Copyright © The Korean Mathematical Society.

Stability in functional difference equations using fixed point theory

Youssef N. Raffoul

University of Dayton

Abstract

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\noindent We consider a functional difference equation and use fixed point theory to analyze the stability of its zero solution. In particular, our study focuses on the nonlinear delay functional difference equation \[x(t+ 1) = a(t)g(x(t- r)).\]

Keywords: completely delayed, discrete, fixed point, Lyapunov functionals, contraction mapping

MSC numbers: 39A10, 39A11, 39A12

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