The book discusses set-valued differential equations defined in
terms of the Hukuhara derivative. Focusing on equations with
uncertainty, i.e., including an unknown parameter, it introduces a
regularlization method to handle them. The main tools for
qualitative analysis are the principle of comparison of Chaplygin -
Wazhewsky, developed for the scalar, vector and matrix-valued
Lyapunov functions and the method of nonlinear integral
inequalities, which are used to establish existence, stability or
boundedness. Driven by the question of how to model real processes
using a set-valued of differential equations, the book lays the
theoretical foundations for further study in this area. It is
intended for experts working in the field of qualitative analysis
of differential and other types of equations.
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