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Differential equations with impulse effects : multivalued right-hand sides with discontinuities /
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 s...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
©2011.
|
| Colección: | De Gruyter studies in mathematics ;
40. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Differential equations with impulse effects : |b multivalued right-hand sides with discontinuities / |c by Nikolai A. Perestyuk [and others]. |
| 260 | |a Berlin ; |a Boston : |b De Gruyter, |c ©2011. | ||
| 300 | |a 1 online resource (xiv, 307 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 490 | 1 | |a De Gruyter studies in mathematics, |x 0179-0986 ; |v 40 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Introduction -- |t Notation -- |t Contents -- |t Chapter 1. Impulsive Differential Equations -- |t Chapter 2. Impulsive Differential Inclusions -- |t Chapter 3. Linear Impulsive Differential Inclusions -- |t Chapter 4. Linear Systems with Multivalued Trajectories -- |t Chapter 5. Method of Averaging in Systems with Pulse Action -- |t Chapter 6. Averaging of Differential Inclusions -- |t Chapter 7. Differential Equations with Discontinuous Right-Hand Side -- |t Appendix A. Some Elements of Set-Valued Analysis -- |t Appendix B. Differential Inclusions -- |t References -- |t Index. |
| 520 | |a 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. | ||
| 546 | |a In English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Impulsive differential equations. | |
| 650 | 6 | |a Équations différentielles impulsives. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Partial. |2 bisacsh | |
| 650 | 7 | |a Impulsive differential equations |2 fast | |
| 700 | 1 | |a Peresti͡uk, N. A. |q (Nikolaĭ Alekseevich) | |
| 776 | 0 | 8 | |i Print version: |t Differential equations with impulse effects. |d Berlin ; Boston : De Gruyter, ©2011 |w (DLC) 2011007994 |
| 830 | 0 | |a De Gruyter studies in mathematics ; |v 40. |x 0179-0986 | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=390862 |z Texto completo |
| 880 | 0 | |6 505-00/(S |a Contents note continued: 4.5. Approximation of the Integral Funnel of a Linear Differential Inclusion with the Help of Systems of Differential Equations with π-Derivative -- 5.1. Oscillating System with One Degree of Freedom -- 5.2. Systems with Fixed Times of the Pulse Action -- 5.3. Systems with Nonfixed Times of the Pulse Action -- 6.1. Averaging of Inclusions with Pulses at Fixed Times -- 6.2. Krasnoseskii[-]Krein Theorem for Differential Inclusions -- 6.3. Averaging of Inclusions with Pulses at Nonfixed Times -- 6.4. Averaging of Impulsive Differential Equations with Hukuhara Derivative -- 7.1. Motions and Quasimotions -- 7.2. Impulsive Motions and Quasimotions -- 7.3. Euler Quasibroken Lines. | |
| 880 | 0 | |6 505-00/(S |a Machine generated contents note: 1.1. General Characterization of Systems of Impulsive Differential Equations -- 1.2. Linear Systems -- 2.1. Differential Inclusions with Fixed Times of Pulse Action -- 2.2. Differential Inclusions with Nonfixed Times of Pulse Action -- 2.3. Examples -- 3.1. Statement of the Problem. Theorem on Existence and Uniqueness -- 3.2. Stability of Solutions of Linear Impulsive Differential Inclusions -- 3.3. Periodic Solutions of Linear Impulsive Differential Inclusions -- 3.4. Linear Differential Equations with Pulse Action at Indefinite Times -- 4.1. Differential Equations with Hukuhara Derivative -- 4.2. Approximation of the Integral Funnel of a Linear Differential Inclusion with the Help of Systems of Differential Equations with Hukuhara Derivative -- 4.3. Linear Differential Equations with π-Derivative -- 4.4. Extension of the Space conv(Rn) for n = 1. | |
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