Author	Martynyuk, Anatoly A. author. Author. http://id.loc.gov/vocabulary/relators/aut
Title	Qualitative Analysis of Set-Valued Differential Equations [electronic resource] / by Anatoly A. Martynyuk
Imprint	Cham : Springer International Publishing : Imprint: Birkhäuser, 2019
Edition	1st ed. 2019
Connect to	https://doi.org/10.1007/978-3-030-07644-3
Descript	XIII, 198 p. 1 illus. in color. online resource

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

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

1. Differential Equations
2. Systems theory
3. Ordinary Differential Equations. http://scigraph.springernature.com/things/product-market-codes/M12147
4. Systems Theory
5. Control. http://scigraph.springernature.com/things/product-market-codes/M13070