| 書(shū)目名稱(chēng) | Monotone Nonautonomous Dynamical Systems | | 編輯 | David N. Cheban | | 視頻video | http://file.papertrans.cn/640/639056/639056.mp4 | | 概述 | Systematizes research in this domain (mainly by the author and his co-authors) over the past 10 years.Devoted to the study of monotone non-autonomous dynamical systems and their applications.Interest | | 圖書(shū)封面 |  | | 描述 | .The monograph present ideas and methods, developed by the author, to solve the problem of existence of Bohr/Levitan almost periodic (respectively, almost recurrent in the sense of Bebutov, almost authomorphic, Poisson stable) solutions and global attractors of monotone nonautonomous differential/difference equations. Namely, the text provides answers to the following problems:?..1. Problem of existence of at least one Bohr/Levitan almost periodic solution for cooperative almost periodic differential/difference equations;??..2.?Problem of existence of at least one Bohr/Levitan almost periodic solution for uniformly stable and dissipative monotone differential equations (I. U. Bronshtein’s conjecture, 1975);?..3.?Problem of description of the structure of the global attractor for monotone nonautonomous dynamical systems; ??..4.?The structure of the invariant/minimal sets and global attractors for one-dimensional monotone nonautonomous dynamical systems; ??..5.?Asymptotic behavior of monotone nonautonomous dynamical systems with a ?rst integral (Poisson stable motions, convergence, asymptotically Poisson stable motions and structure of the Levinson center (compact global attractor) o | | 出版日期 | Book 2024 | | 關(guān)鍵詞 | Nonautonomous dynamical systems; monotone dynamical systems; oscillations regimes; global attractors; as | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-60057-9 | | isbn_softcover | 978-3-031-60059-3 | | isbn_ebook | 978-3-031-60057-9 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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