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...

Полное описание

Библиографическая информация
Главный автор: Buffoni, Boris, 1965-
Формат: Электронная книга
Язык:English
Публикация: Princeton University Press, 2016.
Серии:Princeton Series in Applied Mathematics
Предметы:
Online-ссылка:EBSCOhost
Перейти в каталог НБ ТГУ
Оглавление:
  • 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