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A semigroup approach for numerical solution of delay differential equations

A semigroup approach for numerical solution of delay differential equations
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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.
机构地区 Dept. of Mathematics
出处 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2001年第4期367-370,共4页 哈尔滨工业大学学报(英文版)
关键词 delay diffferential equations asymptotic stability SEMIGROUP delay diffferential equations asymptotic stability semigroup
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参考文献10

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