Abstract
We establish existence and uniqueness theorems for the impulsive operator differential equation {fx177-01}. The operator A can be noninvertible. The obtained results are applied to differential-algebraic equations and partial differential equations of the non-Kovalevskaya type.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 2, pp. 155–166, February, 2008.
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Vlasenko, L.A. Forced oscillations of an infinite-dimensional oscillator under impulsive perturbations. Ukr Math J 60, 177–190 (2008). https://doi.org/10.1007/s11253-008-0050-7
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DOI: https://doi.org/10.1007/s11253-008-0050-7