In this paper we consider linear Volterra-renewal integral equations (VIEs) whose solutions depend on a space variable, via a map transformation. We investigate the asymptotic properties of the solutions, and study the asymptotic stability of a numerical method based on direct quadrature in time and interpolation in space. We show its properties through test examples.

Asymptotic stability of solutions to Volterra-renewal integral equations with space maps

ANNUNZIATO, Mario;
2012

Abstract

In this paper we consider linear Volterra-renewal integral equations (VIEs) whose solutions depend on a space variable, via a map transformation. We investigate the asymptotic properties of the solutions, and study the asymptotic stability of a numerical method based on direct quadrature in time and interpolation in space. We show its properties through test examples.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/3304299
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