Analytic Theory of Global Bifurcation.

Rabinowitz's classical global bifurcation theory, which concerns the study in-the-large of parameter-dependent families of nonlinear equations, uses topological methods that address the problem of continuous parameter dependence of solutions by showing that there are connected sets of solutions...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Buffoni, Boris, 1965-
Format: Electronic eBook
Language:Inglés
Published: Princeton University Press, 2016.
Series:Princeton Series in Applied Mathematics
Subjects:
Bifurcation theory.
Théorie de la bifurcation.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Bifurcation theory
Online Access:Texto completo
Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Chapter 1. Introduction
  • Part 1. Linear and Nonlinear Functional Analysis
  • Chapter 2. Linear Functional Analysis
  • Chapter 3. Calculus in Banach Spaces
  • Chapter 4. Multilinear and Analytic Operators
  • Part 2. Analytic Varieties
  • Chapter 5. Analytic Functions on F
  • Chapter 6. Polynomials
  • Chapter 7. Analytic Varieties
  • Part 3. Bifurcation Theory
  • Chapter 8. Local Bifurcation Theory
  • Chapter 9. Global Bifurcation Theory
  • Part IV. Stokes Waves
  • Chapter 10. Steady Periodic Water Waves
  • Chapter 11. Global Existence of Stokes Waves
  • Bibliography
  • Index

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