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Birkhäuser

Topological Methods for Delay and Ordinary Differential Equations

With Applications to Continuum Mechanics

  • Book
  • Sep 2024
  • Latest edition

Overview

Editors:
  1. Pablo Amster

    1. Department of Mathematics, University of Buenos Aires, Buenos Aires, Argentina

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    You can also search for this editor in PubMed   Google Scholar

  2. Pierluigi Benevieri

    1. Universidade de São Paulo, São Paulo, Brazil

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Explores topological techniques in delay and ordinary differential equations with a focus on continuum mechanics
  • Presents results related to problems of existence, multiplicity localization, bifurcation of solutions, and more
  • Uses topological methods, including degree theory, fixed point index theory, and classical fixed point theorems

Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 51)

Part of the book sub series: Advances in Continuum Mechanics (ACM)

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Keywords

  • Delay differential equations
  • Topological methods
  • Delay differential equations
  • Ordinary differential equations
  • ODEs
  • Hamiltonian systems
  • Kepler problems solutions
  • Relativistic pendulum equation
  • Parallel-plate electrostatic actuators
  • Heat flow problem
  • Atypical bifurcation ODEs
  • Chaos topology

About this book

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.

Editors and Affiliations

  • Department of Mathematics, University of Buenos Aires, Buenos Aires, Argentina

    Pablo Amster

  • Universidade de São Paulo, São Paulo, Brazil

    Pierluigi Benevieri

Bibliographic Information

  • Book Title: Topological Methods for Delay and Ordinary Differential Equations

  • Book Subtitle: With Applications to Continuum Mechanics

  • Editors: Pablo Amster, Pierluigi Benevieri

  • Series Title: Advances in Mechanics and Mathematics

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024

  • Hardcover ISBN: 978-3-031-61336-4Due: 25 September 2024

  • Softcover ISBN: 978-3-031-61339-5Due: 25 September 2024

  • eBook ISBN: 978-3-031-61337-1Due: 25 September 2024

  • Series ISSN: 1571-8689

  • Series E-ISSN: 1876-9896

  • Edition Number: 1

  • Number of Pages: XX, 230

  • Number of Illustrations: 14 b/w illustrations, 20 illustrations in colour

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