• Maximal monotone differential inclusions with memory

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      https://www.ias.ac.in/article/fulltext/pmsc/102/01/0059-0071

    • Keywords

       

      Maximal monotone operator; resolvent; resolvent convergence topology; selection theorem; relaxation

    • Abstract

       

      In this paper we study maximal monotone differential inclusions with memory. First we establish two existence theorems; one involving convex-valued orientor fields and the other nonconvex valued ones. Then we examine the dependence of the solution set on the data that determine it. Finally we prove a relaxation theorem.

    • Author Affiliations

       

      Nikolaos S Papageorgiou1 2

      1. Department of Applied Mathematics, Florida Institute of Technology, 150 W. University Blvd, Melbourne, Florida - 32901-6988, USA
      2. Department of Mathematics, National Technical University, Athens - 15773, Greece
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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