书目名称 | Qualitative Analysis of Set-Valued Differential Equations | 编辑 | Anatoly A. Martynyuk | 视频video | | 概述 | First book on the theoretical foundations of modeling real-world phenomena by a set of differential equations.Focusses on differential equations with uncertainty.Written for the experts working in the | 图书封面 |  | 描述 | .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.. | 出版日期 | Book 2019 | 关键词 | set equations; regularization of uncertain set equations; stability; asymptotic stability; boundedness; m | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-07644-3 | isbn_ebook | 978-3-030-07644-3 | copyright | Springer Nature Switzerland AG 2019 |
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