Title
Global attractivity for nonautonomous difference equation via linearization
Document Type
Article
Date of Original Version
1-1-2017
Abstract
where k ∈ {0, 1, …} and the initial conditions are real vectors. We investigate the asymptotic behavior of the solutions of the considered equation. We give some effective conditions for the global stability and global asymptotic stability of the zero or positive equilibrium of this equation. Our results are based on application of the linearizations technique. We illustrate our results with many examples that include some equations from mathematical biology.
Publication Title, e.g., Journal
Journal of Computational Analysis and Applications
Volume
23
Issue
7
Citation/Publisher Attribution
Bilgin, Arzu, and M. R. Kulenović. "Global attractivity for nonautonomous difference equation via linearization." Journal of Computational Analysis and Applications 23, 7 (2017): 1311-1323. https://digitalcommons.uri.edu/math_facpubs/157