书目名称 | Theory of Translation Closedness for Time Scales | 副标题 | With Applications in | 编辑 | Chao Wang,Ravi P. Agarwal,Rathinasamy Sakthivel | 视频video | | 概述 | Establishes a theory of classification and translation closedness of time scales.Explores its use in practical model scenarios, like Nicholson`s blowfiles model, the Lasota-Wazewska model, the Keynesi | 丛书名称 | Developments in Mathematics | 图书封面 |  | 描述 | This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S. Hilger in 1988 to unify continuous and discrete analysis. The authors develop a theory of translation function on time scales that contains (piecewise) almost periodic functions, (piecewise) almost automorphic functions and their related generalization functions (e.g., pseudo almost periodic functions, weighted pseudo almost automorphic functions, and more). Against the background of dynamic equations, these function theories on time scales are applied to study the dynamical behavior of solutions for various types of dynamic equations on hybrid domains, including evolution equations, discontinuous equations and impulsive integro-differential equations..The theory presented allows many useful applications, such as in the Nicholson`s blowfiles model; the Lasota-Wazewska model; the Keynesian-Cross model; in those realistic dynamical models with a more complex hibrid domain, considered under different types of translation closedness of time scales; and in dynamic equations on mathematical models which cover neural networks. This book provides readers wit | 出版日期 | Book 2020 | 关键词 | time scales; almost periodic functions; automorphic functions; translation functions; translation time s | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-38644-3 | isbn_softcover | 978-3-030-43406-9 | isbn_ebook | 978-3-030-38644-3Series ISSN 1389-2177 Series E-ISSN 2197-795X | issn_series | 1389-2177 | copyright | Springer Nature Switzerland AG 2020 |
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