Some remarks on linear set-valued differential equations

Tatyana Komleva, Liliya Plotnikova, Natalia Skripnik, Andrej Plotnikov

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.


Keywords


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

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DOI: http://dx.doi.org/10.24193/subbmath.2020.3.09

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