Qualitative Analysis of Set-Valued Differential Equations
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Beschreibung
Produktdetails
Einband
Gebundene Ausgabe
Erscheinungsdatum
10.04.2019
Abbildungen
XIII, 1 illus. in color., farbige Illustrationen
Verlag
SpringerSeitenzahl
198
Maße (L/B/H)
24.1/16/1.8 cm
Gewicht
489 g
Auflage
1st ed. 2019
Sprache
Englisch
ISBN
978-3-030-07643-6
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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