On Global Attractors of Multivalued Semiprocesses and Nonautonomous Evolution Inclusions

  • Mikhail Z. Zgurovsky
  • Pavlo O. Kasyanov
  • Oleksiy V. Kapustyan
  • José Valero
  • Nina V. Zadoianchuk
Chapter
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 27)

Abstract

In the first chapter, we considered the existence and properties of global attractors for autonomous multivalued dynamical systems. When the equation is nonautonomous, new and challenging difficulties appear. In this case, if uniqueness of the Cauchy problem holds, then the usual semigroup of operators becomes a two-parameter semigroup or process [38, 39], as we have to take into account the initial and the final time of the solutions.

Keywords

Global Attractor Evolution Inclusion Pullback Attractor Convex Lower Semicontinuous Function Proper Convex Lower Semicontinuous Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Mikhail Z. Zgurovsky
    • 1
  • Pavlo O. Kasyanov
    • 2
  • Oleksiy V. Kapustyan
    • 2
  • José Valero
    • 3
  • Nina V. Zadoianchuk
    • 2
  1. 1.Institute for Applied System AnalysisNational Academy of Science National Technical University of UkraineKyivUkraine
  2. 2.Kyiv Polytechnic Institute Institute for Applied System AnalysisNational Technical University of UkraineKyivUkraine
  3. 3.Centro de Investigación OperativaUniv. Miguel Hernández de ElcheAlicanteSpain

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