This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its numerous applications to the natural sciences and mathematical economics. The presentation is self-contained and accessible to a broader audience of mathematicians, natural scientists, and engineers. The basic content can be understood even by those readers who have little or no knowledge of linear functional analysis.

Preface to Part H/A

INTRODUCTIoN To THE SUBJECT

CHAPTER 18 VariationaJ Problems，the Ritz Method，and the Idea of Orthogonality

CHAPTER 19 The Galerkin Method for Differential and Integral Equations， the Friedrichs Extension，and the Idea of Self-Adjointness

CHAPTER 20 Difference Methods and Stability LINEAR MONOTONE PROBLEMS

CHAPTER 21 Auxiliary Tools and the Convergence of the Galerkin Method for Linear Operator Equations

CHAPTER 22 Hilbert Space Methods and Linear Elliptic Differential Equations

CHAPTER 23 Hilbert Space Methods and Linear Parabolic Differential Equations

CHAPTER 24 Hilbert Space Methods and Linear Hyperbolic Differential‘Equations

Preface to Part ll/B

GENERALIZATION To NONLINEAR STATIoNARY PRoBLEMS

Basic Ideas of the Theory of Monotone Operators

CHAPTER 25 Lipschitz Continuous，Strongly Monotone Operators，the Projection—Iteration Method，and Monotone Potential Operators

CHAPTER 26 Monotone Operators and Quasi．Linear Elliptic Differential Equations

CHAPTER 27 Pseudomonotone Operators and Quasi．Linear Elliptic Difierential Equations

CHAPTER 28 Monotone Operators and Hammerstein Integral Equations

CHAPTER 29 Noncoercive Equations，Nonlinear Fredholm Alternatives， Locally Monotone Operators，Stability，and Bifurcation

GENERALIZATION TO NONLINEAR NONSTATIONARY PROBLEMS

CHAPTER 30 First-Order Evolution Equations and the Galerkin Method

CHAPTER 31 Maximal Accretive Operators, Nonlinear Nonexpansive Semigroups, and First-Order Evolution Equations

CHAPTER 32 Maximal Monotone Mappings

CHAPTER 33 Second-Order Evolution Equations and the Galerkin Method

GENERAL THEORY OF DISCRETIZATION METHODS

CHAPTER 34 Inner Approximation Schemes, A-Proper Operators, and the Galerkin Method

CHAPTER 35 External Approximation Schemes, A-Proper Operators, and the Difference Method

CHAPTER 36 Mapping Degree for A-Proper Operators

Appendix

References

　List of Symbols

　List of Theorems

　List of the Most Important Definitions

　List of Schematic Overviews

　List of Important Principles

Index