Differential Equations with Impulse Effects
eBook - PDF

Differential Equations with Impulse Effects

Multivalued Right-hand Sides with Discontinuities

  1. 321 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Differential Equations with Impulse Effects

Multivalued Right-hand Sides with Discontinuities

About this book

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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Yes, you can access Differential Equations with Impulse Effects by Nikolai A. Perestyuk,Viktor A. Plotnikov,Anatolii M. Samoilenko,Natalia V. Skripnik, Peter V. Malyshev in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2011
Print ISBN
9783110218169
eBook ISBN
9783110218176

Table of contents

  1. Introduction
  2. Notation
  3. 1 Impulsive Differential Equations
  4. 2 Impulsive Differential Inclusions
  5. 3 Linear Impulsive Differential Inclusions
  6. 4 Linear Systems with Multivalued Trajectories
  7. 5 Method of Averaging in Systems with Pulse Action
  8. 6 Averaging of Differential Inclusions
  9. 7 Differential Equations with Discontinuous Right-Hand Side
  10. A Some Elements of Set-Valued Analysis
  11. B Differential Inclusions
  12. References
  13. Index