Variational Analysis and Generalized Differentiation II

Applications
1. Auflage 2006, Corr. 3rd printing 2012
ISBN: 978-3-540-25438-6
Verlag: Springer

Buch, Englisch, 610 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1103 g

Reihe: Grundlehren der mathematischen Wissenschaften

Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces

Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.

Zielgruppe

Research

Autoren/Hrsg.

Mordukhovich, Boris S.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung

Inhaltsverzeichnis

Constrained Optimization and Equilibria: Necessary Optimality Conditions in Nondifferentiable Programming. Mathematical Programs with Equilibrium Constraints. Multiobjective Optimization. Subextremality and Suboptimality at Linear Rate.- Optimal Control of Evolution Systems in Banach Spaces: Optimal Control of Discrete-Time and Continuous-time Evolution Inclusions. Necessary Optimality Conditions for Differential Inclusions without Relaxation. Maximum Principle for Continuous-Time Systems with Smooth Dynamics. Approximate Maximum Principle in Optimal Control.- Optimal Control of Distributed Systems: Optimization of Differential-Algebraic Inclusions with Delays. Neumann Boundary Control of Semilinear Constrained Hyperbolic Equations. Drichelet Boundary Control of Linear Constrained Hyperbolic Equations. Minimax Control of Parabolic Systems with Pointwise State Constraints.- Applications to Economics: Models of Welfare Economics. Second Welfare Theorem for Nonconvex Economics. Nonconvex Economics with Ordered Commodity Spaces. Further Extensions and Public Goods.- References.- Glossary of Notation.- Index of Statements.

Über Autor(innen)

Ph.D. in Mathematics (1973); distinguished faculty and lifetime scholar of the Academy of Scholars; more than 200 publications (including books and patents); many outstanding research and teaching awards; numerous invited talks to various meetings (e.g., 15 keynote presentations during the last year); organizer of conference, special sessions, and issues of journals; Editorial Boards of 11 international journals; grants and awards from NSF, NATO, NSERC, BSF, Australian Research Council, etc.