A semigroup approach for numerical solution of delay differential equations  

作　　者：Birama Sory Sidibe 刘明珠 

机构地区：[1]Dept. of Mathematics, Harbin Institute of Technology,

出　　处：《Journal of Harbin Institute of Technology(New Series)》2001年第4期367-370,共4页哈尔滨工业大学学报（英文版）

摘　　要：Investigates the asymptotic stability of numerical solution of linear delay differential equations(DDEs) of the form y′(t)=Ly(t)+My(t-τ), t>0, y(t)=(t), -τ≤t≤0, where τ>0, L, M∈ C n×n  and ∈ (,C n), which is formulated using the semigroup instead of classical step by step methods for numerical solution of this equation, as an abstract Cauchy problems and then discretized in a systems of ordinary differential equations(ODEs), and examines the asymptotic stability properties with respect to the class of DDEs with the complex coefficients which preserve the stability properties for a fixed delay.Investigates the asymptotic stability of numerical solution of linear delay differential equations(DDEs) of the form y′(t)=Ly(t)+My(t-τ), t>0, y(t)=(t), -τ≤t≤0, where τ>0, L, M∈ C n×n  and ∈ (,C n), which is formulated using the semigroup instead of classical step by step methods for numerical solution of this equation, as an abstract Cauchy problems and then discretized in a systems of ordinary differential equations(ODEs), and examines the asymptotic stability properties with respect to the class of DDEs with the complex coefficients which preserve the stability properties for a fixed delay.

关 键 词：delay diffferential equations asymptotic stability SEMIGROUP 

分 类 号：O241[理学—计算数学]