Variational Analysis and Applications

Presents applications focusing on new classes of variational problems and models from economics, applied sciences, and engineering

Comprehensive commentaries emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research

Large number of exercises help readers better understand the basic material and develop research skills

Presents applications focusing on new classes of variational problems and models from economics, applied sciences, and engineering Comprehensive commentaries emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research Large number of exercises help readers better understand the basic material and develop research skills

Auteur

Boris S. Mordukhovich is a Distinguished University Professor of Mathematics at Wayne State University. His areas of research include optimization and variational analysis, control theory, nonlinear systems, generalized differentiation, and various applications. Professor Mordukhovich has authored more than 400 publications including two volumes in Springer's Grundlehren series entitled "Variational Analysis and Generalized Differentiation." He is a Fellow of the American Mathematical Society (AMS) and the Society of Industrial and Applied Mathematics (SIAM).

Contenu
Preface.- Part 1. Basics of First-Order Analysis.-1. First-Order Generalized Differentiation.- 2. Extremality, Well-Posedness, Calculus Rules.- 3. Optimization via Generalized Differentiation.- Part 2. Second-Order Analysis.- 4. Second-Order Subdifferentials.- 5. Second-Order Subdifferential Calculus.- 6. Full and Tilt Stability of Local Minimizers.- 7. Full Stability for Parametric Variational Systems.- Part 3. Selected Applications.- 8. Full and Tilt Stability in Constrained Optimization.-9. Higher-Order Stability and Numerical Analysis.- 10. Optimal Control of the Sweeping Process.- 11. Microeconomic Modeling.- References.- List of Statements.- Glossary of Notation.- Subject Index.