Uniform Trajectory Attractors for Nonautonomous Dissipative Dynamical Systems

  • Mikhail Z. Zgurovsky
  • Pavlo O. Kasyanov
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 30)


For all global weak solutions of the general classes of nonautonomous evolution equations and inclusions that satisfy standard sign and polynomial growth conditions, the multivalued dynamics as time \(t\rightarrow +\infty \) is studied. The existence of a compact uniform trajectory attractor is justified. The obtained results allow to investigate long-time behavior of distributions of state functions for various mathematical models in geophysics, mechanics, biology, medicine etc.


Evolution inclusion Pseudomonotone map Uniform trajectory attractor Feedback control 


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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.National Technical University of Ukraine “Kyiv Politechnic Institute”KyivUkraine
  2. 2.Institute for Applied System AnalysisNational Technical University of Ukraine “Kyiv Politechnic Institute”KyivUkraine

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