Lyapunov functions for evolution variational inequalities with locally prox-regular sets

نویسندگان

  • Abderrahim Hantoute
  • Marc Mazade
چکیده

This paper is devoted on the one hand to the study of specific properties of an evolution variational inequality, holding in the Hilbert setting. We give on the other hand a general criterion for Lyapunov pairs of this dynamical system and some results on the asymptotic behaviour of the solution. Key-words: Differential inclusions Evolution variational inequalities Proximal normal cone Uniformly prox-regular set Hypomonotonicity Lyapunov pair Asymptotic behaviour. Mathematics Subject Classifications (2010) : 34A60 · 49J52 · 49J20

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تاریخ انتشار 2013