Screen LibraryTheory 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...
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| Main Authors: | |
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| Corporate Authors: | |
| Group Author: | ; |
| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore : |
| Publication Dates: | 1989. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Series in modern applied mathematics ; vol. 6 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/0906#t=toc |
| Summary: |
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. |
| Carrier Form: | 1 online resource (x,273pages) : illustrations. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9789812812759 |
| CLC: | O175 |
| Contents: | ch. 1. Description of systems with impulses -- ch. 2. Global existence -- ch. 3. Basic comparison results -- ch. 4. Singularly perturbed systems. |