Book
Dynamics with inequalities: impacts and hard constraints
Applied mathematics, Society for Industrial and Applied Mathematics
2011
Abstract
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.
Details
- Title: Subtitle
- Dynamics with inequalities: impacts and hard constraints
- Creators
- David E Stewart - University of Iowa, Mathematics
- Resource Type
- Book
- Publisher
- Society for Industrial and Applied Mathematics; Philadelphia
- Series
- Applied mathematics
- ISBN
- 9781611970708
- Number of pages
- xiii, 387 pages
- Language
- English
- Date published
- 2011
- Academic Unit
- Mathematics
- Record Identifier
- 9983903695702771
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