Variational Analysis and Generalized Differentiation II Applications

Name: Variational Analysis and Generalized Differentiation II Applications
Price: 136.32 USD
Availability: InStock
ISBN: 9783540254386

ISBN-10: 3540254382

ISBN-13: 9783540254386

Edition: 2006

Authors: Boris S. Mordukhovich

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Description:

Variational analysis is a fruitful area in mathematics that, on one hand, deals with the study of optimization and equilibrium problems and, on the other hand, applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variational nature.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…

Book details

List price: $139.99
Copyright year: 2006
Publisher: Springer Berlin / Heidelberg
Publication date: 12/2/2005
Binding: Hardcover
Pages: 610
Size: 8.27" wide x 11.69" long x 0.60" tall
Weight: 5.148
Language: English



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 Parabolicnbsp;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