On stability regions of the modified midpoint method for a linear delay differential equation

Advances in Difference Equations

Jana Hrabalov¹  Petr Tomek¹ 

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

关键词: Difference Equation;    Asymptotic Stability;    Stability Region;    Delay Differential Equation;    Left Endpoint;   

DOI  :  10.1186/1687-1847-2013-177

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The paper deals with stability regions of a certain discretization of a linear differential equation with constant delay. The main aim of the paper is to analyze the regions of asymptotic stability of the modified midpoint method applied to a linear differential equation with constant delay. Obtained results are compared with other known results, particularly for Euler discretization. The relation between asymptotic stability conditions in the discrete case and continuous case is discussed, too.

【 授权许可】

CC BY