Boundedness and stability in nonlinear delay difference equations employing fixed point theory

In this paper we study stability and boundedness of the nonlinear difference equation \begin{equation} x(t+1)=a(t)x(t)+c(t)\Delta x(t-g(t))+q(x(t),x(t-g(t))\big).\nonumber \end{equation} In particular we study equi-boundedness of solutions and the stability of the zero solution of this equation. Fix...

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Bibliographic Details
Main Authors: Muhammad Islam, Ernest Yankson
Format: Article
Language:English
Published: University of Szeged 2005-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=236