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On stabilization of solutions to incomplete second-order integrodifferential equations

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Abstract

We consider abstract incomplete linear second-order integrodifferential equations in a Hilbert space. Operator coefficients of the equations are unbounded selfadjoint nonnegative operators. These equations arise naturally in viscoelasticity and hydroelasticity. We prove a theorem on asymptotic stability of strong solutions of the equations.

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Authors and Affiliations

  1. Crimean Federal University, pr. Akademika Vernadskogo 4, Simferopol, 295007, Russia

    D. A. Zakora

  2. Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia

    D. A. Zakora

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  1. D. A. Zakora
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Correspondence to D. A. Zakora.

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Original Russian Text © D.A. Zakora, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 9, pp. 78–83.

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Zakora, D.A. On stabilization of solutions to incomplete second-order integrodifferential equations. Russ Math. 60, 69–73 (2016). https://doi.org/10.3103/S1066369X16090097

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  • DOI: https://doi.org/10.3103/S1066369X16090097

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