Qualitative Analysis of Set-Valued Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Other Sciences, System Theory
Cover of the book Qualitative Analysis of Set-Valued Differential Equations by Anatoly A. Martynyuk, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Anatoly A. Martynyuk ISBN: 9783030076443
Publisher: Springer International Publishing Publication: April 2, 2019
Imprint: Birkhäuser Language: English
Author: Anatoly A. Martynyuk
ISBN: 9783030076443
Publisher: Springer International Publishing
Publication: April 2, 2019
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Dag Prawitz on Proofs and Meaning by Anatoly A. Martynyuk
Cover of the book Mathematical Image Processing by Anatoly A. Martynyuk
Cover of the book World Literature, Neoliberalism, and the Culture of Discontent by Anatoly A. Martynyuk
Cover of the book Fetal Development by Anatoly A. Martynyuk
Cover of the book Toward Information Justice by Anatoly A. Martynyuk
Cover of the book Heteronuclear Efimov Scenario in Ultracold Quantum Gases by Anatoly A. Martynyuk
Cover of the book Service Quality in Indian Hospitals by Anatoly A. Martynyuk
Cover of the book Multi-Technology Positioning by Anatoly A. Martynyuk
Cover of the book Econophysics and Data Driven Modelling of Market Dynamics by Anatoly A. Martynyuk
Cover of the book Reflection Positivity by Anatoly A. Martynyuk
Cover of the book Robot Operating System (ROS) by Anatoly A. Martynyuk
Cover of the book Understanding Information by Anatoly A. Martynyuk
Cover of the book River Control in India by Anatoly A. Martynyuk
Cover of the book Queueing Theory and Network Applications by Anatoly A. Martynyuk
Cover of the book Surgical Critical Care Therapy by Anatoly A. Martynyuk
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy