Description
Springer An Introduction To Nonlinear Analysis Applications by Zdzislaw Denkowski , Stanislaw Migórski , Nikolaos S. Papageorgiou
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. 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.