Global Asymptotic Stability for Quadratic Fractional Difference Equation

Authors

Mark DiPippo, University of Rhode Island
Ed J. Janowski, University of Rhode Island
Mustafa Kulenovic, University of Rhode IslandFollow

Document Type

Article

Date of Original Version

6-12-2015

Abstract

Consider the difference equation

[Mathematical equations cannot be displayed here, refer to PDF]

where all parameters α, β,a_i,b_i,a_ij,b_ij, i, j = 0,1,…, k, and the initial conditions x_i, i ∈{−k,…,0}, are nonnegative. We investigate the asymptotic behavior of the solutions of the considered equation. We give simple explicit conditions for the global stability and global asymptotic stability of the zero or positive equilibrium of this equation.

Citation/Publisher Attribution

DiPippo, M., Janowski, E. J, & Kulenović, M. R.S. (2015). Global asymptotic stability for quadratic fractional difference equation. Advances in Difference Equations, 2015, 179.

Available at: http://dx.doi.org/10.1186/s13662-015-0525-4

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.