Qualitative Analysis of Set-Valued Differential Equations (e-bog) af Martynyuk, Anatoly A.
Martynyuk, Anatoly A. (forfatter)

Qualitative Analysis of Set-Valued Differential Equations e-bog

875,33 DKK (inkl. moms 1094,16 DKK)
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 Lyapun...
E-bog 875,33 DKK
Forfattere Martynyuk, Anatoly A. (forfatter)
Forlag Birkhauser
Udgivet 2 april 2019
Genrer Cybernetics and systems theory
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9783030076443
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 i eld of qualitative analysis of differential and other types of equations.