Advances in Mechanics and Mathematics: With Applications to Continuum Mechanics

Amster, Pablo; Benevieri, Pierluigi

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.

Details

Published by: Birkhäuser

Publication Date: 2024-08-13

Format: Hardcover

ISBN-13: 9783031613364

DOI: 10.1007/978-3-031-61337-1

Dimensions: 235cm x155cm

Pages: 211