Topological Methods for Delay and Ordinary Differential Equations: With Applications to Continuum Mechanics (Advances in Mechanics and Mathematics, 51)

Topological Methods for Delay and Ordinary Differential Equations: With Applications to Continuum Mechanics (Advances in Mechanics and Mathematics, 51)
by: Pablo Amster (Editor),Pierluigi Benevieri (Editor)
Publisher: Birkhäuser
Edition: 2024th
Publication Date: 2024/8/13
Language: English
Print Length: 227 pages
ISBN-10: 3031613368
ISBN-13: 9783031613364
Book Description
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.
About the Author
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. Read more