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Record Nr. |
UNINA9910789638703321 |
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Autore |
Perestyuk Nikolai A. |
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Titolo |
Differential equations with impulse effects [[electronic resource] ] : multivalued right-hand sides with discontinuities / / by Nikolai A. Perestyuk ... [et al.] |
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Pubbl/distr/stampa |
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Berlin ; ; Boston, : De Gruyter, c2011 |
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ISBN |
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1-283-39862-1 |
9786613398628 |
3-11-021816-X |
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Descrizione fisica |
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1 online resource (324 p.) |
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Collana |
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De Gruyter studies in mathematics, , 0179-0986 ; ; 40 |
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Classificazione |
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Altri autori (Persone) |
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Peresti͡ukN. A (Nikolaĭ Alekseevich) |
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Disciplina |
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Soggetti |
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Impulsive differential equations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Front matter -- 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 |
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Sommario/riassunto |
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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 |
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