Brouwer Degree The Core of Nonlinear Analysis

This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker i...

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Bibliographic Details
Main Authors: Dinca, George, Mawhin, Jean (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2021, 2021
Edition:1st ed. 2021
Series:Progress in Nonlinear Differential Equations and Their Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • The Kronecker Index and the Brouwer Degree
  • Continuation, Existence, and Bifurcation
  • Infinite-Dimensional Problems
  • Difference Equations
  • Periodic Solutions of Differential Systems
  • Two-Dimensional Problems
  • The Degree of Some Classes of Mappings
  • History of Brouwer Fixed Point Theorem