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Dynamics with Inequalities

Dynamics with Inequalities
Impacts and Hard Constraints

$99.00 (P)

  • Date Published: August 2011
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9781611970708

Paperback

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  • This is the first book that comprehensively addresses dynamics with inequalities. 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). Dynamics with Inequalities: Impacts and Hard Constraints 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 treats finite- and infinite-dimensional problems in a unified way, so that the theory is applicable to both ordinary differential equations and partial differential equations.

    • The first book to deal with the topic of dynamics with inequalities in a comprehensive way
    • Places the theory in context by including many different applications throughout the book
    • The theory is applicable to both ordinary differential equations and partial differential equations
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    Product details

    • Date Published: August 2011
    • format: Paperback
    • isbn: 9781611970708
    • length: 410 pages
    • dimensions: 255 x 178 x 20 mm
    • weight: 0.73kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface
    1. Some examples
    2. Static problems
    3. Formalisms
    4. Variations on the theme
    5. Index zero and index one
    6. Index two: impact problems
    7. Fractional index problems
    8. Numerical methods
    Appendix A. Some basics of functional analysis
    Appendix B. Convex and nonsmooth analysis
    Appendix C. Differential equations
    Bibliography
    Index.

  • Author

    David E. Stewart, University of Iowa
    David Stewart is a Professor of Mathematics at the University of Iowa, where he has worked for over ten years.

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