Qualitative Analysis Of Set-valued Differential Equations by Anatoly A. Martynyuk, Hardcover | Indigo Chapters

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 ï¬eld of qualitative analysis of differential and other types of equations. | Qualitative Analysis Of Set-valued Differential Equations by Anatoly A. Martynyuk, Hardcover | Indigo Chapters