Methods of Nonlinear Analysis Applications to Differential Equations /

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In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Drabek, Pavel (Autor), Milota, Jaroslav (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Edición:2nd ed. 2013.
Colección:Birkhäuser Advanced Texts Basler Lehrbücher,
Temas:
Mathematical analysis.
Functional analysis.
Differential equations.
Mathematical optimization.
Calculus of variations.
Analysis.
Functional Analysis.
Differential Equations.
Calculus of Variations and Optimization.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • 1 Preliminaries
  • 2 Properties of Linear and Nonlinear Operators
  • 3 Abstract Integral and Differential Calculus
  • 4 Local Properties of Differentiable Mappings
  • 5 Topological and Monotonicity Methods
  • 6 Variational Methods
  • 7 Boundary Value Problems for Partial Differential Equations
  • Summary of Methods
  • Typical Applications
  • Comparison of Bifurcation Results
  • List of Symbols
  • Index
  • Bibliography.

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