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    STUDIA MATHEMATICA - Issue no. 3 / 2020  
         
  Article:   SOME REMARKS ON LINEAR SET-VALUED DIFFERENTIAL EQUATIONS.

Authors:  TATYANA A. KOMLEVA, LILIYA I. PLOTNIKOVA, NATALIA V. SKRIPNIK, ANDREJ V. PLOTNIKOV.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2020.3.09

Published Online: 2020-09-15
Published Print: 2020-09-15
pp. 411-427
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ABSTRACT: The article discusses various definitions of the derivative of a set-valued mapping and their properties. Also, a linear set-valued differential equation is considered and the existence of solutions for this equation with Hukuhara derivative, Plotnikov-Skripnik derivative and Bede-Gal derivative is investigated.

Key words: linear differential equation; set-valued mapping; Hukuhara difference; derivative.
 
         
     
         
         
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