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Exact boundary controllability of an integrodifferential equation

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Abstract

An integrodifferential equation of the Volterra type is considered under the action of anL 2(0, T, L2(Γ))-boundary control. By harmonic analysis arguments it is shown that the controllability results obtained in [17] for the underlying reference model associated with a trivial convolution kernel, carry over to the model under consideration without any smallness assumption concerning the memory kernel.

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Authors and Affiliations

  1. Technische Hochschule Darmstadt, Schlossgartenstrasse 7, 6100, Darmstadt, West Germany

    Günter Leugering

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  1. Günter Leugering
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Communicated by A. V. Balakrishnan

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Leugering, G. Exact boundary controllability of an integrodifferential equation. Appl Math Optim 15, 223–250 (1987). https://doi.org/10.1007/BF01442653

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  • DOI: https://doi.org/10.1007/BF01442653

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