Asymptotic Bounds for Linear Difference Systems

Advances in Difference Equations

Jan ermk¹ 

[1] Institute of Mathematics, Brno University of Technology, Brno, Czech Republic

关键词: Difference Equation;    Delay Differential Equation;    Abel Equation;    Monotonous Solution;    Asymptotic Investigation;   

DOI  :  10.1155/2010/182696

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY