Overview
- 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
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Qualitative Analysis of Set-Valued Differential Equations
Authors: Anatoly A. Martynyuk
DOI: https://doi.org/10.1007/978-3-030-07644-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-07643-6Published: 10 April 2019
eBook ISBN: 978-3-030-07644-3Published: 02 April 2019
Edition Number: 1
Number of Pages: XIII, 198
Number of Illustrations: 1 illustrations in colour
Topics: Ordinary Differential Equations, Systems Theory, Control