On the asymptotic stability of Volterra functional equations with vanishing delays
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Bibliographic record
Abstract
We analyze the asymptotic stability of solutions of linear Volterra integralequations with general continuous convolution kernels and vanishing delays.The analysis is based on an extension of the variation-of-parameter formulafor non-delay Volterra integral equations and on energy function techniques.The delay integral equations studied in this paper will be of interestin the (still open) stability analysis of numerical methods (e.g. collocation andRunge-Kutta-type methods) for Volterra integral equations with vanishingdelays.
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