| 书目名称 | Stability of Vector Differential Delay Equations | | 编辑 | Michael I. Gil’ | | 视频video | | | 概述 | Well-written systematic and comprehensive exposition.Presents a solution of the Aizerman - Myshkis problem.Develops the Hill method for functional differential equations with period coefficients.Inclu | | 丛书名称 | Frontiers in Mathematics | | 图书封面 |  | | 描述 | .Differential equations with delay naturally arise in various applications, such as control systems, viscoelasticity, mechanics, nuclear reactors, distributed networks, heat flows, neural networks, combustion, interaction of species, microbiology, learning models, epidemiology, physiology, and many others. This book systematically investigates the stability of linear as well as nonlinear vector differential equations with delay and equations with causal mappings. It presents explicit conditions for exponential, absolute and input-to-state stabilities. These stability conditions are mainly formulated in terms of the determinants and eigenvalues of auxiliary matrices dependent on a parameter; the suggested approach allows us to apply the well-known results of the theory of matrices. In addition, solution estimates for the considered equations are established which provide the bounds for regions of attraction of steady states. . .The main methodology presented in the book is based on a combined usage of the recent norm estimates for matrix-valued functions and the following methods and results: the generalized Bohl-Perron principle and the integral version of the generalized Bohl-Pe | | 出版日期 | Book 2013 | | 关键词 | Aizerman - Myshkis problem; differential delay equations; freezing method; matrix methods; positive fund | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0577-3 | | isbn_softcover | 978-3-0348-0576-6 | | isbn_ebook | 978-3-0348-0577-3Series ISSN 1660-8046 Series E-ISSN 1660-8054 | | issn_series | 1660-8046 | | copyright | Springer Basel 2013 |
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发表于 2025-3-21 18:03:48
