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Title Differential equations with impulse effects : multivalued right-hand sides with discontinuities / by Nikolai A. Perestyuk [and others]
Published Berlin ; Boston : De Gruyter, ©2011

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Description 1 online resource (xiv, 307 pages)
Series De Gruyter studies in mathematics, 0179-0986 ; 40
De Gruyter studies in mathematics ; 40. 0179-0986
Contents 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
Summary 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
Bibliography Includes bibliographical references and index
Notes In English
Subject Impulsive differential equations.
MATHEMATICS -- Differential Equations -- Partial.
Impulsive differential equations
Form Electronic book
Author Peresti︠u︡k, N. A. (Nikolaĭ Alekseevich)
LC no. 2011007994
ISBN 9783110218176
3110218178
311021816X
9783110218169