We propose a regularization procedure for a set of equations of perturbed motion with uncertain values of the parameters. We use the comparison principle to establish conditions for the existence of solutions of the original and regularized systems.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 2, pp. 273–295, February, 2013.
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Martynyuk, A.A., Martynyuk-Chernienko, Y.A. Existence, uniqueness, and estimation of solutions for a set of equations of perturbed motion. Ukr Math J 65, 302–327 (2013). https://doi.org/10.1007/s11253-013-0779-5
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DOI: https://doi.org/10.1007/s11253-013-0779-5