Some remarks on linear set-valued differential equations

Authors

  • Tatyana Komleva
  • Liliya Plotnikova
  • Natalia Skripnik
  • Andrej Plotnikov

DOI:

https://doi.org/10.24193/subbmath.2020.3.09

Keywords:

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

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.

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Published

2020-09-17

Issue

Section

Articles