Differential Equations with Impulse Effects

Multivalued Right-hand Sides with Discontinuities
1. Auflage 2011
ISBN: 978-3-11-021816-9
Verlag: De Gruyter

Buch, Englisch, Band 40, 307 Seiten, HC runder Rücken kaschiert, Format (B × H): 175 mm x 246 mm, Gewicht: 730 g

Reihe: ISSN

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.

Zielgruppe

Researchers, Lecturers, Graduate Students; Academic Libraries

Autoren/Hrsg.

Perestyuk, Nikolai A.

Plotnikov, Viktor A.

Samoilenko, Anatolii M.

Skripnik, Natalia V.

Weitere Mitwirkende

Malyshev, Peter V.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

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

Über Autor(innen)

Nikolai A. Perestyuk, Shevchenko Kiev National University, Ukraine; Viktor A. Plotnikov †; Anatolii M. Samoilenko, National Academy of Sciences of Ukraine, Kiev, Ukraine; Nataliya V. Skripnik, Mechnikov Odessa National University, Ukraine.