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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Format: | eBook |
Language: | English |
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Princeton, New Jersey ; Oxford
Princeton University Press
2016, ©2003
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Series: | Princeton Series in Applied Mathematics
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Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
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