Analytic Theory of Global Bifurcation : : An Introduction / / John Toland, Boris Buffoni.
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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Superior document: | Title is part of eBook package: De Gruyter Princeton Series in Applied Mathematics eBook-Package |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©2003 |
Year of Publication: | 2016 |
Language: | English |
Series: | Princeton Series in Applied Mathematics ;
55 |
Online Access: | |
Physical Description: | 1 online resource (184 p.) :; 5 line illus. |
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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 Fn
- 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