Open Access

Asymptotic behavior of a system of linear fractional difference equations

Journal of Inequalities and Applications20052005:741584

DOI: 10.1155/JIA.2005.127

Received: 8 August 2003

Published: 1 June 2005

Abstract

We investigate the global asymptotic behavior of solutions of the system of difference equations https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.127/MediaObjects/13660_2003_Article_1547_IEq1_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.127/MediaObjects/13660_2003_Article_1547_IEq2_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.127/MediaObjects/13660_2003_Article_1547_IEq3_HTML.gif , where the parameters https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.127/MediaObjects/13660_2003_Article_1547_IEq4_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.127/MediaObjects/13660_2003_Article_1547_IEq5_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.127/MediaObjects/13660_2003_Article_1547_IEq6_HTML.gif , and https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.127/MediaObjects/13660_2003_Article_1547_IEq7_HTML.gif are positive numbers and the initial conditions https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.127/MediaObjects/13660_2003_Article_1547_IEq8_HTML.gif and https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.127/MediaObjects/13660_2003_Article_1547_IEq9_HTML.gif are arbitrary nonnegative numbers. We obtain some asymptotic results for the positive equilibrium of this system.

Authors’ Affiliations

(1)
Department of Mathematics, University of Rhode Island
(2)
Department of Mathematics, University of Tuzla

Copyright

© Kulenović and Nurkanović. 2005