Qualitative Analysis of Set-Valued Differential Equations
Author:   Anatoly A. Martynyuk
Publisher:   Springer Nature Switzerland AG
Edition:   2019 ed.
ISBN:  

9783030076436


Pages:   198
Publication Date:   10 April 2019
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Qualitative Analysis of Set-Valued Differential Equations


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Overview

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.

Full Product Details

Author:   Anatoly A. Martynyuk
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   2019 ed.
Weight:   0.489kg
ISBN:  

9783030076436


ISBN 10:   3030076431
Pages:   198
Publication Date:   10 April 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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 Aftereffect.- Analysis of Set Impulsive Systems with Aftereffect.- Stability of Set Equations with Causal Operator.- Finite-Time Stability of Standard Systems Sets

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