An Introduction to Nonlinear Analysis: Applications offers an
exposition of the main applications of Nonlinear Analysis. Its starting
point is a chapter on Nonlinear Operators and Fixed Points, a connecting
point and bridge from Nonlinear Analysis theory to its applications. The
topics covered include applications to ordinary and partial differential
equations, optimization, optimal control, calculus of variations and
mathematical economics.
This book is an excellent springboard for anyone wishing to conduct
advanced research or work on a postgraduate text. Many exercises and
their solutions complement the presentation.
The text is a companion to An Introduction to Nonlinear Analysis:
Theory by the same authors.