Abstract
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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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