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    STUDIA MATHEMATICA - Issue no. 3 / 2009  
         
  Article:   GRONWALL LEMMAS AND COMPARISON THEOREMS FOR THE CAUCHY PROBLEM ASSOCIATED TO A SET DIFFERENTIAL EQUATION.

Authors:  IOANA CAMELIA TIŞE.
 
       
         
  Abstract:  Let  be the family of all nonempty compact, convex subset of  We consider the following Cauchy problem:



The purpose of the paper is to study the existence of a solution as well as some comparison theorems and Gronwall type lemmas for the above Cauchy problem.


Key words and phrases. L-space, fixed point, Cauchy problem, lower fixed points, upper fixed points, Gronwall lemmas.
 
         
     
         
         
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