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商品詳細
Qualitative Analysis of Set-Valued Differential Equations. 2019 ed..
・ISBN 978-3-030-07643-6 hard EUR 99.99
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| 著者・編者 | Martynyuk, Anatoly A., |
|---|---|
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2019 |
| ページ数 | 198 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-14719＞ |
解説
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 ?eld of qualitative analysis of differential and other types of equations.