Attractivity and global stability for linearizable difference equations
Document Type
Article
Date of Original Version
5-1-2009
Abstract
Consider the difference equation xn + 1 = f (xn, ..., xn - k), n = 0, 1, ... where k ∈ {0, 1, ...} and the initial conditions are real numbers. We use the linearization of this equation in the form xn + l = underover(∑, i = 1 - l, k) gi xn - i, n = 0, 1, ... where l ∈ {1, 2, ...} and the functions gi : Rk + l → R to investigate the asymptotic behavior of the solutions of the considered equation. We illustrate our results with various examples. © 2008 Elsevier Ltd. All rights reserved.
Publication Title, e.g., Journal
Computers and Mathematics with Applications
Volume
57
Issue
9
Citation/Publisher Attribution
Janowski, E., and M. R. Kulenović. "Attractivity and global stability for linearizable difference equations." Computers and Mathematics with Applications 57, 9 (2009): 1592-1607. doi: 10.1016/j.camwa.2008.10.064.
