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Analytic theory of global bifurcation : an introduction /

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Buffoni, Boris, 1965-
Otros Autores: Toland, John, 1949-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, ©2003.
Colección:Princeton series in applied mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Ch. 1. Introduction
  • pt. 1. Linear and Nonlinear Functional Analysis
  • Ch. 2. Linear Functional Analysis
  • Ch. 3. Calculus in Banach Spaces
  • Ch. 4. Multilinear and Analytic Operators
  • pt. 2. Analytic Varieties
  • Ch. 5. Analytic Functions of F[superscript n]
  • Ch. 6. Polynomials
  • Ch. 7. Analytic Varieties
  • pt. 3. Bifurcation Theory
  • Ch. 8. Local Bifurcation Theory
  • Ch. 9. Global Bifurcation Theory
  • pt. 4. Stokes Waves
  • Ch. 10. Steady Periodic Water Waves
  • Ch. 11. Global Existence of Stokes Waves.