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Some Properties of the Solutions of a Linear Set-Valued Differential Equation in the Space conv\(\left({\mathbb{R}}^{2}\right)\)

  • Tatyana Komleva,
  • Andrej Plotnikov,
  • Natalia Skripnik

摘要

We consider a linear set-valued differential equation with generalized derivative and variable matrix. The conditions for the existence of solutions are presented. We determine the shapes of their cross sections at each time in the analytic form. The results are illustrated by model examples.