Qualitative Analysis of Set-Valued Differe...

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Sprache: Englisch

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Beschreibung

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 ¿eld of qualitative analysis of differential and other types of equations.

Zusammenfassung

First book on the theoretical foundations of modeling real-world phenomena by a set of differential equations

Focusses on differential equations with uncertainty

Written for the experts working in the ?eld of qualitative analysis of di?erential and other types of equations

Inhaltsverzeichnis

General Properties of Set Equations.- Analysis of the Set of Continuous Equations.- Stability of the Set of Discrete-Time Systems.- Qualitative Analysis of Set Impulsive Equations.- Stability of Set Systems with Aftere¿ect.- Analysis of Set Impulsive Systems with Aftere¿ect.- Stability of Set Equations with Causal Operator.- Finite-Time Stability of Standard Systems Sets

Erscheinungsjahr:	2019
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiii 198 S. 1 farbige Illustr. 198 p. 1 illus. in color.
ISBN-13:	9783030076436
ISBN-10:	3030076431
Sprache:	Englisch
Herstellernummer:	978-3-030-07643-6
Einband:	Gebunden
Autor:	Martynyuk, Anatoly A.
Auflage:	1st edition 2019
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	241 x 160 x 18 mm
Von/Mit:	Anatoly A. Martynyuk
Erscheinungsdatum:	10.04.2019
Gewicht:	0,489 kg