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Variational Analysis and Generalized Differentiation II
Applications
Buch von Boris S. Mordukhovich
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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.

Zusammenfassung

This monograph in two volumes contains a 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 and presents numerous applications to problems in optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc. The first volume is mainly devoted to the basic theory of variational analysis and generalized differentiations, while the second volume describes various applications. Both volumes include abundant bibliographies and extensive commentaries.

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.
Details
Erscheinungsjahr: 2005
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 632
Reihe: Grundlehren der mathematischen Wissenschaften
Inhalt: xxii
610 S.
ISBN-13: 9783540254386
ISBN-10: 3540254382
Sprache: Englisch
Herstellernummer: 11398325
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Mordukhovich, Boris S.
Auflage: 2006
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Grundlehren der mathematischen Wissenschaften
Maße: 241 x 160 x 39 mm
Von/Mit: Boris S. Mordukhovich
Erscheinungsdatum: 02.12.2005
Gewicht: 1,103 kg
preigu-id: 102388400
Über den Autor

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.

Zusammenfassung

This monograph in two volumes contains a 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 and presents numerous applications to problems in optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc. The first volume is mainly devoted to the basic theory of variational analysis and generalized differentiations, while the second volume describes various applications. Both volumes include abundant bibliographies and extensive commentaries.

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.
Details
Erscheinungsjahr: 2005
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 632
Reihe: Grundlehren der mathematischen Wissenschaften
Inhalt: xxii
610 S.
ISBN-13: 9783540254386
ISBN-10: 3540254382
Sprache: Englisch
Herstellernummer: 11398325
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Mordukhovich, Boris S.
Auflage: 2006
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Grundlehren der mathematischen Wissenschaften
Maße: 241 x 160 x 39 mm
Von/Mit: Boris S. Mordukhovich
Erscheinungsdatum: 02.12.2005
Gewicht: 1,103 kg
preigu-id: 102388400
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