Handbook of applied analysis

Sophia Th. Kyritsi-Yiallourou, Nikolaos S. Papageorgiou (auth.)978-0-12-002019-5, 9780387789064, 0387789065

Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemistry, and economics. The tools and techniques of applied analysis facilitate the development of mathematical models and can thereby serve as an excellent resource for students and researchers in various scientific and mathematical disciplines.

This self-contained, comprehensive handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis.

Unique features of the Handbook of Applied Analysis:

• Presents an accessible introduction to modern analysis, while still serving as a useful reference for researchers and practitioners;

• Covers a large number of diverse topics: smooth and nonsmooth differential calculus, optimal control, fixed point theory, critical point theory, linear and nonlinear eigenvalue problems, nonlinear boundary value problems, set-valued analysis, game theory, stochastic analysis, and evolutionary equations;

• Serves as a complete guide to the theory of nonlinear analysis;

• Includes numerous examples that demonstrate and expand upon the topics presented;

• Suggests many directions for further research and study.

In this one volume, the reader can find many of the most important theoretical trends in nonlinear analysis and applications to different fields. These features, together with an extensive bibliography, make the volume a valuable tool for every researcher working with nonlinear analysis.

Table of contents :
Front Matter….Pages i-xv
Smooth and Nonsmooth Calculus….Pages 1-61
Extremal Problems and Optimal Control….Pages 63-145
Nonlinear Operators and Fixed Points….Pages 147-265
Critical Point Theory and Variational Methods….Pages 267-350
Boundary Value Problems–Hamiltonian Systems….Pages 351-454
Multivalued Analysis….Pages 455-527
Economic Equilibrium and Optimal Economic Planning….Pages 529-608
Game Theory….Pages 609-650
Uncertainty, Information, Decision Making….Pages 651-690
Evolution Equations….Pages 691-751
Back Matter….Pages 1-41