Abstract
We construct the asymptotic expansion of a solution of the Cauchy problem for a singularly perturbed system of differential equations whose right-hand side is discontinuous on a certain surface. We consider the case where the surface of discontinuity is crossed and estimate the remainder of the constructed asymptotic expansion.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 11, pp. 1502–1508, November, 1994.
The present work was supported by the Ukrainian State Committee on Science and Technology.
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Mel'nik, T.A. Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem. Ukr Math J 46, 1660–1666 (1994). https://doi.org/10.1007/BF01058884
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DOI: https://doi.org/10.1007/BF01058884