This book offers an exposition of the main applications of Nonlinear Analysis, beginning with 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. The presentation is supplemented with the inclusion of many exercises and their solutions.
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.
Applications:- List of Figures. Preface.
1. Nonlinear Operators and Fixed Points.
2. Ordinary Differential Equations.
3. Partial Differential Equations.
4. Optimal Control and Calculus of Variations.
5. Mathematical Economics. References. Index.
From the reviews of the first edition:
The book by Z. Denkowski, S. Migorski, and N. S. Papageorgiou is a valuable addition to the literature on the subject. We strongly recommend it as a rigorous, up-to-dlĂ
![An Introduction to Nonlinear Analysis Applications [Paperback]](/itemImage/2/4/7/4/2_752081.jpg)