Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 193872, 7 pages
doi:10.1155/2008/193872
A new part-metric-related inequality chain and an application
Xiaofan Yang1
, Fangkuan Sun2
and Yuan Yan Tang2
1School of Computer and Information, Chongqing Jiaotong University, Chongqing 400074, China
2College of Computer Science, Chongqing University, Chongqing 400044, China
Abstract
Part-metric-related (PMR) inequality chains are elegant and are useful in the study of difference equations. In this paper, we establish a new PMR inequality chain, which is then applied to show the global asymptotic stability of a class of rational difference equations.