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Dynamics with Inequalities: Impacts and Hard Constraints

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by David E. Stewart


2011 / xiv + 389 / Softcover / ISBN 978-1-611970-70-8 / List Price $109.00 / SIAM Member Price $76.30 / Order Code OT123

Keywords: differential variational inequalities, mechanical impact, dynamics with constraints, circuits with diodes, economic networks.


This is the only 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 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.

This book is intended for applied mathematicians, engineers, physicists, and economists studying dynamical systems with hard inequality constraints.

About the Author
David E. Stewart is a Professor of Mathematics at the University of Iowa, where he has worked for more than 10 years. He is the author of more than 40 journal papers.

ISBN: 9781611970708

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