Nonhomogeneous linear recurrence relations and properties of some delay difference equations

Abstract

This paper is concerned with the extension of some results of Gyöori-Ladas-Vlahos and Driver-Ladas-Vlahos on the global attractivity and asymptotic behavior in delay difference equations. These extensions are derived from recent results on the resolution of the homogeneous and nonhomogeneous linear difference equations, and the convergence of their homogeneous part.

Keywords and phrases:

• Nonhomogeneous linear difference equations
• generalized Fibonacci sequences
• delay difference equation
• global attractivity
• asymptotic behaviour