Theory of impulsive differential equations:
Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assum...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1989
|
| Schriftenreihe: | Series in modern applied mathematics
vol. 6 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems |
| Beschreibung: | x, 273 p. ill |
| ISBN: | 9789812812759 |
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| 245 | 1 | 0 | |a Theory of impulsive differential equations |c V. Lakshmikantham, D.D. Bainov, P.S. Simeonov |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c1989 | |
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| 490 | 0 | |a Series in modern applied mathematics |v vol. 6 | |
| 520 | |a Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems | ||
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Impulsive differential equations | |
| 650 | 0 | 7 | |a Impulsdifferentialgleichung |0 (DE-588)4339336-6 |2 gnd |9 rswk-swf |
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| 689 | 0 | |8 1\p |5 DE-604 | |
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| 700 | 1 | |a Simeonov, P. S. |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Lakshmikantham, V. 1926- |
| author_facet | Lakshmikantham, V. 1926- |
| author_role | aut |
| author_sort | Lakshmikantham, V. 1926- |
| author_variant | v l vl |
| building | Verbundindex |
| bvnumber | BV044636306 |
| classification_rvk | SK 500 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00005614 (OCoLC)1012724335 (DE-599)BVBBV044636306 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044636306 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:48Z |
| institution | BVB |
| isbn | 9789812812759 |
| language | English |
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| physical | x, 273 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1989 |
| publishDateSearch | 1989 |
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| publisher | World Scientific Pub. Co. |
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| series2 | Series in modern applied mathematics |
| spelling | Lakshmikantham, V. 1926- Verfasser aut Theory of impulsive differential equations V. Lakshmikantham, D.D. Bainov, P.S. Simeonov Singapore World Scientific Pub. Co. c1989 x, 273 p. ill txt rdacontent c rdamedia cr rdacarrier Series in modern applied mathematics vol. 6 Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems Differential equations Impulsive differential equations Impulsdifferentialgleichung (DE-588)4339336-6 gnd rswk-swf Impulsdifferentialgleichung (DE-588)4339336-6 s 1\p DE-604 Baĭnov, D. Sonstige oth Simeonov, P. S. Sonstige oth Erscheint auch als Druck-Ausgabe 9789971509705 Erscheint auch als Druck-Ausgabe 9971509709 http://www.worldscientific.com/worldscibooks/10.1142/0906#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lakshmikantham, V. 1926- Theory of impulsive differential equations Differential equations Impulsive differential equations Impulsdifferentialgleichung (DE-588)4339336-6 gnd |
| subject_GND | (DE-588)4339336-6 |
| title | Theory of impulsive differential equations |
| title_auth | Theory of impulsive differential equations |
| title_exact_search | Theory of impulsive differential equations |
| title_full | Theory of impulsive differential equations V. Lakshmikantham, D.D. Bainov, P.S. Simeonov |
| title_fullStr | Theory of impulsive differential equations V. Lakshmikantham, D.D. Bainov, P.S. Simeonov |
| title_full_unstemmed | Theory of impulsive differential equations V. Lakshmikantham, D.D. Bainov, P.S. Simeonov |
| title_short | Theory of impulsive differential equations |
| title_sort | theory of impulsive differential equations |
| topic | Differential equations Impulsive differential equations Impulsdifferentialgleichung (DE-588)4339336-6 gnd |
| topic_facet | Differential equations Impulsive differential equations Impulsdifferentialgleichung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/0906#t=toc |
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