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.