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Theory of Impulsive Differential Equations
Abstract
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.
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Cited by
Goebel, R., Sanfelice, R. G., & Teel, A. R. (2009) · IEEE Control Systems · doi:10.1109/mcs.2008.931718 · Cited by 1,656
Yang, T., & Chua, L. O. (1997) · IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications · doi:10.1109/81.633887 · Cited by 773
Metadata
- Authors
- Lakshmikantham, V, Bainov, D. D., & Simeonov, P. S.
- Venue
- WORLD SCIENTIFIC eBooks
- Publisher
- WORLD SCIENTIFIC
- Published
- 1989-05
- DOI
- 10.1142/0906
- OpenAlex
- W2050240106
- Cited by
- 4,833
- References
- 0
- FWCI
- 5.80
- Type
- book
- Language
- en
- Open access
- closed
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- Lakshmikantham, V, Bainov, D. D., & Simeonov, P. S. (1989). Theory of Impulsive Differential Equations. WORLD SCIENTIFIC eBooks. https://doi.org/10.1142/0906
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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