Asymptotic Bounds for Linear Difference Systems. (20th May 2010)

• Record Type: Journal Article
• Authors: Čermák, Jan
• Other Names: Diblik Josef Academic Editor.
• Is Part Of: Advances in difference equations. Volume 2010(2010)
• Publication Date: 2010-05-20
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/2010/182696
• Languages: English
• ISSNs: 1687-1847

Abstract

Abstract : This paper describes asymptotic properties of solutions of some linear difference systems. First we consider system of a general form and estimate its solutions by use of a solution of an auxiliary scalar difference inequality assuming that this solution admits certain properties. Then applying this result to linear difference systems of a variable order with constant (or bounded) coefficients we derive effective asymptotic criteria for such systems. Beside it, we give applications of these results to numerical analysis of vector differential equations with infinite lags.