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Stability of solutions of delay functional integro-differential equations and their discretizations

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In this paper we study asymptotic stability and contractivity properties of solutions of a class of delay functional integro-differential equations. These results form the basis for obtaining insight into the analogous properties of numerical solutions generated by continuous Runge-Kutta or collocation methods, where these methods are applied to a suitable reformulation of the given initial-value problem.

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Authors and Affiliations

  1. Department of Mathematics & StatisticsMemorial, University of Newfoundland, St. John’s, NL, Canada, A1C 5S7

    Hermann Brunner

  2. Department of Mathematics & Computer Science, University of Udine, I-33100, Udine, Italy

    Rossana Vermiglio

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  1. Hermann Brunner
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  2. Rossana Vermiglio
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Correspondence to Hermann Brunner.

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Brunner, H., Vermiglio, R. Stability of solutions of delay functional integro-differential equations and their discretizations. Computing 71, 229–245 (2003). https://doi.org/10.1007/s00607-003-0022-6

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  • DOI: https://doi.org/10.1007/s00607-003-0022-6

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