Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 860598, 16 pages
http://dx.doi.org/10.1155/2012/860598
Research Article

Lyapunov-Type Inequalities for the Quasilinear Difference Systems

Qi-Ming Zhang1 and X. H. Tang2

1College of Science, Hunan University of Technology, Zhuzhou, Hunan 412000, China
2School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, China

Received 22 October 2011; Accepted 4 December 2011

Academic Editor: Zengji Du

Copyright © 2012 Qi-Ming Zhang and X. H. Tang. 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.

Abstract

We establish several Lyapunov-type inequalities for quasilinear difference systems, which generalize or improve all related existing ones. Applying these results, we also obtain some lower bounds for the first eigencurve in the generalized spectra.