| 书目名称 | Systems with Persistent Memory |
| 副标题 | Controllability, Sta |
| 编辑 | Luciano Pandolfi |
| 视频video | |
| 概述 | Attracts a diversified audience including engineers and mathematicians.Study of control problems for systems which are encountered in viscoelasticity, non-Fickian diffusion and thermodynamic with memo |
| 丛书名称 | Interdisciplinary Applied Mathematics |
| 图书封面 |  |
| 描述 | .This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology..The book focuses on the properties and controllability of the archetypal heat and wave equations with memory and introduces the dynamic approach to identification problems and the basic techniques used in the study of stability..The book presents several approaches currently used to study systems with persistent memory: Volterra equation in Hilbert spaces, Laplace transform techniques and semigroup methods. The text is intended for a diverse audience in applied mathematics and engineering and it can be used in PhD courses. Readers are recommended to have a background in the elements of functional analysis. Topics of functional analysis which younger readers may need to familiarize with are presented in the book.. |
| 出版日期 | Book 2021 |
| 关键词 | systems with memory; controllability; memory kernel identification; coefficient identification; stabilit |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-80281-3 |
| isbn_softcover | 978-3-030-80283-7 |
| isbn_ebook | 978-3-030-80281-3Series ISSN 0939-6047 Series E-ISSN 2196-9973 |
| issn_series | 0939-6047 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:27:24
