Journal of Applied Mathematics
Volume 2007 (2007), Article ID 26075, 6 pages
Research Article

A Perron-Frobenius Theorem for Positive Quasipolynomial Matrices Associated with Homogeneous Difference Equations

Bui The Anh1 and D. D. X. Thanh2

1Department of Mathematics, University of Pedagogy, 280 An Duong Vuong Street, HoChiMinh City 70000, Vietnam
2Department of Mathematics, University of Ton Duc Thang, 98 Ngo Tat To Street, HoChiMinh City 70000, Vietnam

Received 8 April 2007; Accepted 3 October 2007

Academic Editor: Patrick De Leenheer

Copyright © 2007 Bui The Anh and D. D. X. Thanh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We extend the classical Perron-Frobenius theorem for positive quasipolynomial matrices associated with homogeneous difference equations. Finally, the result obtained is applied to derive necessary and sufficient conditions for the stability of positive system.