Abstract
In Bellen and Maset (Preprint) an approach is presented for solving the delay differential equation (DDE) (∗) y′(t)=Ly(t)+My(t−τ), t⩾0,y(t)=ϕ(t), −τ⩽t⩽0, where τ>0, L,M∈ C m×m and ϕ∈C([−τ,0], C m) , passing through a reformulation of (∗) as an abstract Cauchy problem and its discretization in a system of ordinary differential equations (ODEs). In this paper we investigate the asymptotic stability of this approach on the class of DDEs (∗) with L=0.
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