Abstract
Existence and uniqueness of the solution to ordinary and delay differential equations with infinitely many state-dependent impulses are considered. A simple transformation allows us to show that these problems are equivalent to problems without impulse. A fixed point approach is then applied for an appropriate norm.
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References
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Dubeau, F., Karrakchou, J., Ouansafi, A., Sakat, A. (2002). On Impulsive Ordinary and Delay Differential Equations. In: Zaccour, G. (eds) Decision & Control in Management Science. Advances in Computational Management Science, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3561-1_3
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DOI: https://doi.org/10.1007/978-1-4757-3561-1_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4995-0
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