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The book deals with setvalued differential equations defined in terms of the Hukuhara derivative and focuses on equations with uncertainty, i.e., including an unknown parameter and introduces a regulization method to handle them. The main tools are the Lyapunov comparision methods pioneered by Lakshmikantham, which are used to establish existence, stability or boundedness. Driven by the question how to model real processes using a set of differential equations the book lays the theoretical foundations for further study in this area and is written for the experts working in the field of qualitative analysis of di erential and other types of equations.