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Methods of Nonlinear Analysis Applications to Differential Equations

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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Bibliographic Details
Main Authors: Drabek, Pavel, Milota, Jaroslav (Author)
Format: eBook
Language:English
Published: Basel Birkhäuser 2013, 2013
Edition:2nd ed. 2013
Series:Birkhäuser Advanced Texts Basler Lehrbücher
Subjects:
Functional Analysis
Mathematical Analysis
Calculus Of Variations And Optimization
Analysis
Differential Equations
Mathematical Optimization
Calculus Of Variations
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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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