Operator splitting for nonautonomous delay equations

Andr\'as B\'atkai; B\'alint Farkas; Petra Csom\'os

arxiv: 1202.4389 · v2 · pith:3SXNWVJRnew · submitted 2012-02-20 · 🧮 math.FA · cs.NA· math.DS· math.NA

Operator splitting for nonautonomous delay equations

Andr\'as B\'atkai , Petra Csom\'os , B\'alint Farkas This is my paper

classification 🧮 math.FA cs.NAmath.DSmath.NA

keywords convergencedelayequationsnonautonomousabstractdemonstrateddifferentiableestimates

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We provide a general product formula for the solution of nonautonomous abstract delay equations. After having shown the convergence we obtain estimates on the order of convergence for differentiable history functions. Finally, the theoretical results are demonstrated on some typical numerical examples.

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Operator splitting for nonautonomous delay equations

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