Asymptotic stability in the numerical solution of linear pure delay differential equations as abstract Cauchy problems

✍ Scribed by S Maset

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 124 KB
• Volume: 111
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(99)00140-5

✦ Synopsis

In Bellen and Maset (Preprint) an approach is presented for solving the delay di erential equation (DDE)

where ¿ 0; L; M ∈ C m×m and ' ∈ C([ -; 0]; C m ), passing through a reformulation of ( * ) as an abstract Cauchy problem and its discretization in a system of ordinary di erential equations (ODEs). In this paper we investigate the asymptotic stability of this approach on the class of DDEs ( * ) with L = 0.