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Qualitative Analysis of Set-Valued Differential Equations

By (author) Anatoly A. Martynyuk
Format: Hardback
Publisher: Springer Nature Switzerland AG, Cham, Switzerland
Published: 10th Apr 2019
Dimensions: w 156mm h 234mm d 13mm
Weight: 479g
ISBN-10: 3030076431
ISBN-13: 9783030076436
Barcode No: 9783030076436
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Synopsis
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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