| Theory of Impulsive Differential Equations Contributor(s): Lakshmikantham, Vangipuram (Author), Bainov, Drumi D. (Author), Simeonov, Pavel (Author) |
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ISBN: 9971509709 ISBN-13: 9789971509705 Publisher: World Scientific Publishing Company OUR PRICE: $114.00 Product Type: Hardcover - Other Formats Published: May 1989 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General |
| Dewey: 515.35 |
| LCCN: 89014690 |
| Series: Modern Applied Mathematics |
| Physical Information: 0.84" H x 6.36" W x 8.54" (1.13 lbs) 288 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |