Asymptotic behavior of a system of linear fractional difference equations

Authors

Mustafa RS Kulenović, University of Rhode IslandFollow
M. Nurkanović

Document Type

Article

Date of Original Version

2005

Abstract

We investigate the global asymptotic behavior of solutions of the system of difference equations x_n+1 = (a + x_n)/(b + y_n), y_n+1 = (d + y_n)(e + x_n), n = 0,1…, where the parameters a, b, d, and e are positive numbers and the initial conditions x0 and y0 are arbitrary nonnegative numbers. We obtain some asymptotic results for the positive equilibrium, of this system.

Citation/Publisher Attribution

Kulenović, M. R. S., & Nurkanović, M. (2005). Asymptotic behavior of a system of linear fractional difference equations. Journal of Inequalities and Applications, 2005(2), 127-143. doi: 10.1155/JIA.2005.127

Available at: http://dx.doi.org/10.1155/JIA.2005.127