Annali di Matematica Pura ed Applicata

, Volume 115, Issue 1, pp 99–117 | Cite as

Monotone trajectories of multivalued dynamical systems

  • Jean-Pierre Aubin
  • Arrigo Cellina
  • John Nohel


We prove existence of « monotone trajectories » for a class of discrete and continuous systems sufficiently general to include problems of some interest in economic and biological theory. We prove existence of critical points which are Pareto minima. We study stability properties of Pareto minima.


Dynamical System Stability Property Continuous System Biological Theory Multivalued Dynamical System 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1977

Authors and Affiliations

  • Jean-Pierre Aubin
    • 1
  • Arrigo Cellina
    • 1
  • John Nohel
    • 1
  1. 1.ParisFrance

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