Bi-Continuous Operator Semigroups: From Theory to Applications
暫譯: 雙連續運算子半群：從理論到應用

Budde, Christian

Bi-Continuous Operator Semigroups: From Theory to Applications
  • 出版商: Birkhauser Boston
  • 出版日期: 2026-05-12
  • 售價: $2,690
  • 貴賓價: 9.5 折 $2,555
  • 語言: 英文
  • 頁數: 289
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3032129478
  • ISBN-13: 9783032129475
  • 相關分類: 控制系統 Control-systems

    • 無法訂購

相關主題

商品描述

This monograph serves two primary purposes. First, it provides a comprehensive treatment of bi-continuous semigroup theory and its applications, ranging from network theory to control theory. The exposition proceeds systematically from fundamental theory through approximation methods, extrapolation techniques as well as perturbation theory, concluding with applications to networks, mean ergodicity and control systems. Each chapter includes illustrative examples to reinforce the theoretical concepts.
Second, this work aims at supporting emerging researchers and doctoral students by offering a structured foundation for further investigation in operator semigroups. By synthesizing current knowledge, it provides a reference point for new research projects in this domain.

商品描述(中文翻譯)

這本專著有兩個主要目的。首先，它提供了對雙連續半群理論及其應用的全面探討，涵蓋了從網路理論到控制理論的範疇。內容系統性地從基本理論開始，經過近似方法、外推技術以及擾動理論，最後以對網路、平均遍歷性和控制系統的應用作結。每一章節都包含了示例，以加強理論概念的理解。

其次，本書旨在支持新興研究者和博士生，通過提供一個結構化的基礎，以便進一步研究運算子半群。通過綜合當前的知識，它為該領域的新研究項目提供了一個參考點。

作者簡介

Prof. Christian Budde is an Associate Professor in the Department of Mathematics and Applied Mathematics at the University of the Free State, South Africa. He obtained his Ph.D. in Mathematics from the Bergische Universität Wuppertal, Germany, in 2019, following studies at Radboud University Nijmegen. His research lies at the intersection of functional analysis, operator semigroups, and evolution equations, with applications to network dynamics and non-autonomous systems. His research has been supported by numerous national and international grants from the DFG, DAAD, and the South African NRF, among others. He is an active member of the mathematical community. He served as General Secretary of the South African Mathematical Society (SAMS) and is currently the president of SAMS. Moreover, he is Associated Editor for Afrika Matematika, and member of several scientific and review committees, including the Mathematics Reviewing Board of the Heidelberg Laureate Forum. Prof. Budde has organized multiple international conferences and special sessions, most recently his own conference Evolution Equations, Operator Semigroups and Beyond (2025).

作者簡介(中文翻譯)

克里斯蒂安·布德（Prof. Christian Budde）是南非自由州大學數學與應用數學系的副教授。他於2019年在德國伍珀塔爾大學（Bergische Universität Wuppertal）獲得數學博士學位，之前在奈梅亨的拉德布德大學（Radboud University Nijmegen）進行學習。他的研究位於泛函分析、算子半群和演化方程的交叉點，並應用於網絡動態和非自主系統。他的研究得到了德國研究基金會（DFG）、德國學術交流中心（DAAD）以及南非國家研究基金（NRF）等多個國家和國際資助的支持。他是數學社群的活躍成員，曾擔任南非數學學會（SAMS）的總秘書，目前是該學會的會長。此外，他還是《非洲數學》（Afrika Matematika）的副編輯，並且是多個科學和審查委員會的成員，包括海德堡獎論壇的數學審查委員會。布德教授組織了多個國際會議和專題會議，最近的一個會議是他自己主辦的《演化方程、算子半群及其他》（Evolution Equations, Operator Semigroups and Beyond，2025）。

類似商品