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Evolution Inclusions in Nonsmooth Systems with Applications for Earth Data Processing

Uniform Trajectory Attractors for Nonautonomous Evolution Inclusions Solutions with Pointwise Pseudomonotone Mappings
  • Michael Z. ZgurovskyEmail author
  • Pavlo O. Kasyanov
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 95)

Abstract

For the class of nonautonomous evolution inclusions with pointwise pseudomonotone multi-valued mappings the dynamics as t → + of all global weak solutions defined on [0, +) is studied. The existence of a compact uniform trajectory attractor is proved. The results obtained allow one to study the dynamics of solutions for new classes of evolution inclusions related to nonlinear mathematical models of controlled geophysical and socioeconomic processes and for fields with interaction functions of pseudomonotone type satisfying the condition of polynomial growth and the standard sign condition.

Keywords

Evolution inclusion Pseudomonotone map Uniform trajectory attractor Feedback control 

Notes

Acknowledgements

We thank Professor David Y. Gao for many years of cooperation.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

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

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