Dynamics with inequalities : impacts and hard constraints / David E. Stewart.

Format:

Book

Author/Creator:

Stewart, David, 1961-

Contributor:

Society for Industrial and Applied Mathematics.

Series:

Applied mathematics.

Applied mathematics

Language:

English

Subjects (All):

Dynamics.

Physical Description:

1 electronic text (xiv, 389 p.) : digital file.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2011.

Language Note:

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.

ISBN:

1-61197-071-7

Publisher Number:

OT123 SIAM