STABILITY IN FUNCTIONAL DIFFERENCE EQUATIONS USING FIXED POINT THEORY

- Journal title : Communications of the Korean Mathematical Society
- Volume 29, Issue 1, 2014, pp.195-204
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2014.29.1.195

Title & Authors

STABILITY IN FUNCTIONAL DIFFERENCE EQUATIONS USING FIXED POINT THEORY

Raffoul, Youssef N.;

Raffoul, Youssef N.;

Abstract

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;

Language

English

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