Asymptotic estimates and exponential stability for higher-order monotone difference equations. Issue 1 (14th March 2005)

• Record Type: Journal Article
• Authors: Liz, Eduardo; Pituk, Mihály
• Is Part Of: Advances in difference equations. Volume 2005:Issue 1(2005)
• Page Start: 41
• Page End: 55
• Publication Date: 2005-03-14
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/ADE.2005.41
• Languages: English
• ISSNs: 1687-1847

Abstract

Abstract : Asymptotic estimates are established for higher-order scalar difference equations and inequalities the right-hand sides of which generate a monotone system with respect to the discrete exponential ordering. It is shown that in some cases the exponential estimates can be replaced with a more precise limit relation. As corollaries, a generalization of discrete Halanay-type inequalities and explicit sufficient conditions for the global exponential stability of the zero solution are given.