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...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.展开更多
文摘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.
