Differential Equations with Impulse Effects: Multivalued Right-Hand Sides with Discontinuities
| AUTHOR | Perestyuk Malyshev, Nikolai A. Peter V.; Perestyuk Malyshev, Nikolai A. Peter V.; Perestyuk Malyshev, Nikolai A. Peter V. et al. |
| PUBLISHER | de Gruyter (07/18/2011) |
| PRODUCT TYPE | Hardcover (Hardcover) |
Description
Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are also encountered in numerous problems of natural sciences described by mathematical models with conditions reflecting the impulsive action of external forces with pulses whose duration can be neglected. Differential equations with set-valued right-hand side arise in the investigation of evolution processes in the case of measurement errors, inaccuracy or incompleteness of information, action of bounded perturbations, violation of unique solvability conditions, etc. Differential inclusions also allow one to describe the dynamics of controlled processes and are widely used in the theory of optimal control. This monograph is devoted to the investigation of impulsive differential equations with set-valued and discontinuous right-hand sides. It is intended for researchers, lecturers, postgraduate students, and students of higher schools specialized in the field of the theory of differential equations, the theory of optimal control, and their applications.
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Product Format
Product Details
ISBN-13:
9783110218169
ISBN-10:
311021816X
Binding:
Hardback or Cased Book (Sewn)
Content Language:
English
More Product Details
Page Count:
321
Carton Quantity:
22
Product Dimensions:
6.69 x 0.75 x 9.61 inches
Weight:
1.58 pound(s)
Feature Codes:
Bibliography,
Index
Country of Origin:
DE
Subject Information
BISAC Categories
Mathematics | Applied
Mathematics | Differential Equations - General
Mathematics | Probability & Statistics - General
Grade Level:
Post Graduate
- Post Graduate
Dewey Decimal:
515.353
Library of Congress Control Number:
2011007994
Descriptions, Reviews, Etc.
jacket back
Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are also encountered in numerous problems of natural sciences described by mathematical models with conditions reflecting the impulsive action of external forces with pulses whose duration can be neglected. Differential equations with set-valued right-hand side arise in the investigation of evolution processes in the case of measurement errors, inaccuracy or incompleteness of information, action of bounded perturbations, violation of unique solvability conditions, etc. Differential inclusions also allow one to describe the dynamics of controlled processes and are widely used in the theory of optimal control. This monograph is devoted to the investigation of impulsive differential equations with set-valued and discontinuous right-hand sides. It is intended for researchers, lecturers, postgraduate students, and students of higher schools specialized in the field of the theory of differential equations, the theory of optimal control, and their applications.
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publisher marketing
Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are also encountered in numerous problems of natural sciences described by mathematical models with conditions reflecting the impulsive action of external forces with pulses whose duration can be neglected. Differential equations with set-valued right-hand side arise in the investigation of evolution processes in the case of measurement errors, inaccuracy or incompleteness of information, action of bounded perturbations, violation of unique solvability conditions, etc. Differential inclusions also allow one to describe the dynamics of controlled processes and are widely used in the theory of optimal control. This monograph is devoted to the investigation of impulsive differential equations with set-valued and discontinuous right-hand sides. It is intended for researchers, lecturers, postgraduate students, and students of higher schools specialized in the field of the theory of differential equations, the theory of optimal control, and their applications.
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