Abstract
Under the condition that a degenerate system has an exponentially stable integral manifold, an asymptotic expansion of the Cauchy problem that generalizes the well known Vasil'eva expansion is constructed for a perturbed system.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 4, pp. 552–560, April, 1993.
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Shchitov, I.N. Asymptotic expansions of solutions to singularly perturbed systems. Ukr Math J 45, 598–608 (1993). https://doi.org/10.1007/BF01062954
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DOI: https://doi.org/10.1007/BF01062954