Attractivity and global stability for linearizable difference equations

✍ Scribed by E.J. Janowski; M.R.S. Kulenović

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 816 KB
• Volume: 57
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2008.10.064

✦ Synopsis

Consider the difference equation

where k ∈ {0, 1, . . .} and the initial conditions are real numbers. We use the linearization of this equation in the form

where l ∈ {1, 2, . . .} and the functions g i : R k+l → R to investigate the asymptotic behavior of the solutions of the considered equation. We illustrate our results with various examples.