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Author Bellen, A. ♦ Maset, S.
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract In this paper we present an approach for the numerical solution of Delay Differential Equations { y(t)=Ly(t)+My(t-r) t>O (1) y(t)=;o(t) -r O, L, M x" and ;o 6 C([-r, 0] ,), different from the classical step-by-step method. We restate (1) as an abstract Cauchy problem and then we discretize it in a system of Ordinary Differential Equations. The scheme of discretization is proved to be convergent. Moreover the asymptotic stability is investigated for two significant classes of asymptotically stable problems (1).
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article