UID:
almahu_9949462253702882
Format:
1 online resource (307 p.)
ISBN:
9783110218176
,
9783110494938
Series Statement:
De Gruyter Studies in Mathematics , 40
Content:
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.
Note:
Frontmatter --
,
Introduction --
,
Notation --
,
Contents --
,
Chapter 1. Impulsive Differential Equations --
,
Chapter 2. Impulsive Differential Inclusions --
,
Chapter 3. Linear Impulsive Differential Inclusions --
,
Chapter 4. Linear Systems with Multivalued Trajectories --
,
Chapter 5. Method of Averaging in Systems with Pulse Action --
,
Chapter 6. Averaging of Differential Inclusions --
,
Chapter 7. Differential Equations with Discontinuous Right-Hand Side --
,
Appendix A. Some Elements of Set-Valued Analysis --
,
Appendix B. Differential Inclusions --
,
References --
,
Index
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Mathematics eBook-Package, De Gruyter, 9783110494938
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2010, De Gruyter, 9783110233544
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2010, De Gruyter, 9783110233551
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2010, De Gruyter, 9783110233636
Additional Edition:
ISBN 9783110218169
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110218176
URL:
https://doi.org/10.1515/9783110218176
URL:
https://www.degruyter.com/isbn/9783110218176
Bookmarklink
