Methods of Nonlinear Analysis Applications to Differential Equations /

• Main Authors: Drb̀ek, Pavel. (Author), Milota, Jaroslav. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhũser, 2013.
• Edition: 2nd ed. 2013.
• Series: Birkhũser Advanced Texts Basler Lehrb<U+00fc>cher
• Subjects: Mathematics.; Global analysis (Mathematics).; Functional analysis.; Differential equations, partial.; Mathematical optimization.; Analysis.; Functional Analysis.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0348-0387-8

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...

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.