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    STUDIA MATHEMATICA - Issue no. 2 / 2005  
         
  Article:   ON THE EXISTENCE OF VIABLE SOLUTIONS FOR A CLASS OF NONAUTONOMOUS NONCONVEX DIFFERENTIAL INCLUSIONS.

Authors:  AURELIAN CERNEA.
 
       
         
  Abstract:  Abstract. We prove the existence of viable solutions to the Cauchy problem x0 2 F(t, x), x(0) = x0 in M, where F is a multifunction and M is a convex locally compact set of a Hilbert space that satisfy F(t, x)KxMV (x) 6v ;, with KxM the contingent cone to M at x and V is the subdifferential of a convex function V .  
         
     
         
         
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