Journal of Applied Mathematics 
Volume 2007 (2007), Article ID 26075, 6 pages
doi:10.1155/2007/26075
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

Recommended by Patrick De Leenheer

Abstract

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.