Franklin

Dynamics with inequalities [electronic resource] : impacts and hard constraints / David E. Stewart.

Author/Creator:
Stewart, David, 1961-
Publication:
Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2011.
Format/Description:
Book
1 electronic text (xiv, 389 p.) : digital file.
Series:
Applied mathematics.
Applied mathematics
Status/Location:
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Details

Subjects:
Dynamics.
Language:
English
System Details:
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Summary:
This book addresses dynamics with inequalities comprehensively. The author develops the theory and application of dynamical systems that incorporate some kind of hard inequality constraint, such as mechanical systems with impact; electrical circuits with diodes (as diodes permit current flow in only one direction); and social and economic systems that involve natural or imposed limits (such as traffic flow, which can never be negative, or inventory, which must be stored within a given facility). This book demonstrates that hard limits - eschewed in most dynamical models - are natural models for many dynamic phenomena, and there are ways of creating differential equations with hard constraints that provide accurate models of many physical, biological, and economic systems. The author discusses how finite- and infinite-dimensional problems are treated in a unified way so the theory is applicable to both ordinary differential equations and partial differential equations.
Contents:
Preface
Chapter 1. Some examples
Chapter 2. Static problems
Chapter 3. Formalisms
Chapter 4. Variations on the theme
Chapter 5. Index zero and index one
Chapter 6. Index two: impact problems
Chapter 7. Fractional index problems
Chapter 8. Numerical methods
Appendix A. Some basics of functional analysis
Appendix B. Convex and nonsmooth analysis
Appendix C. Differential equations
Bibliography
Index.
Notes:
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references and index.
Title from title screen, viewed 05/31/2011.
Contributor:
Society for Industrial and Applied Mathematics.
ISBN:
1-61197-071-7
Publisher Number:
OT123 SIAM
Access Restriction:
Restricted to subscribers or individual electronic text purchasers.