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Dynamics of solutions of a class of second-order autonomous evolution inclusions

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Abstract

Second-order autonomous differential-operator inclusions with strongly coercive, generally pseudomonotone damping are considered. New a priori estimates of solutions are obtained. The dependence of the solutions on initial data is investigated. The existence of the global and trajectory attractors is proved and their structure properties are analyzed.

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    N. V. Zadoianchuk

  2. Educational Scientific Complex “Institute of Applied Systems Analysis,” National Technical University “Kyiv Polytechnical Institute”, National Academy of Sciences of Ukraine and Ministry of Education, Science, Youth, and Sports of Ukraine, Kyiv, Ukraine

    P. O. Kasyanov

Authors
  1. N. V. Zadoianchuk
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  2. P. O. Kasyanov
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Correspondence to N. V. Zadoianchuk.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 3, May–June, 2012, pp. 111–126.

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Zadoianchuk, N.V., Kasyanov, P.O. Dynamics of solutions of a class of second-order autonomous evolution inclusions. Cybern Syst Anal 48, 414–428 (2012). https://doi.org/10.1007/s10559-012-9421-z

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  • DOI: https://doi.org/10.1007/s10559-012-9421-z

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