Topological Methods for Delay and Ordinary Differential Equations: With Applications to Continuum Mechanics
暫譯: 延遲與常微分方程的拓撲方法:及其在連續介質力學中的應用
Amster, Pablo, Benevieri, Pierluigi
- 出版商: Birkhauser Boston
- 出版日期: 2024-08-13
- 售價: $5,220
- 貴賓價: 9.5 折 $4,959
- 語言: 英文
- 頁數: 212
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031613368
- ISBN-13: 9783031613364
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商品描述
This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics. Chapters, written by internationally recognized researchers in the field, present results on problems of existence, multiplicity localization, bifurcation of solutions, and more. Topological methods are used throughout, including degree theory, fixed point index theory, and classical and recent fixed point theorems. A wide variety of applications to continuum mechanics are provided as well, such as chemostats, non-Newtonian fluid flow, and flows in phase space. Topological Methods for Delay and Ordinary Differential Equations will be a valuable resource for researchers interested in differential equations, functional analysis, topology, and the applied sciences.
商品描述(中文翻譯)
本卷探討拓撲技術在延遲和常微分方程研究中的應用,特別關注於連續介質力學。各章節由該領域國際知名的研究者撰寫,呈現了存在性問題、多重性定位、解的分岔等結果。整本書中使用了拓撲方法,包括度理論、固定點指數理論,以及經典和近期的固定點定理。此外,還提供了多種連續介質力學的應用,例如化學反應器、非牛頓流體流動和相空間中的流動。《延遲和常微分方程的拓撲方法》將成為對微分方程、泛函分析、拓撲學和應用科學感興趣的研究者的重要資源。