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On attractors of evolutionary inclusions in Banach spaces

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Abstract

We check the existence of attractors of a semidynamical system whose attractors may be noncompact and unbounded. These results are applied to evolutionary inclusions for which we establish sufficient conditions for the existence of compact, arbitrary, and unbounded attractors. The Lyapunov stability of inclusions is investigated.

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Authors and Affiliations

  1. Kiev University, Kiev

    J. Valero

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  1. J. Valero
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 5, pp. 602–610, May, 1995.

The present work was partially supported by the Foundation for Fundamental Research of the Ukrainian State Committee on Science and Technology.

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Valero, J. On attractors of evolutionary inclusions in Banach spaces. Ukr Math J 47, 696–706 (1995). https://doi.org/10.1007/BF01059043

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  • DOI: https://doi.org/10.1007/BF01059043

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