Solution Sets for Young Differential Inclusions

• Mariusz Michta ^[1] ; Jerzy Motyl ^[1]
  1. [1] University of Zielona Góra
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 4, 2023
• Idioma: inglés
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• Resumen

  • The paper deals with some properties of solutions of differential inclusions driven by set-valued integrals of a Young type. The existence of solutions, boundedness, closedness of the set of solutions and continuous dependence type results are considered. These inclusions contain as a particular case set-valued stochastic inclusions with respect to a fractional Brownian motion (fBm), and therefore, their properties are crucial for investigation the properties of solutions of fBm stochastic differential inclusions.