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Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy

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Abstract

By using the perturbation methods and Newton diagrams, we study the structure and construct the asymptotics of the general solution to a linear singularly perturbed system of ordinary second-order differential equations in the case where the matrix by the higher derivative is degenerate.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. P. Yakovets

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  1. V. P. Yakovets
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 4, pp. 561–575, April, 1993.

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Yakovets, V.P. Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy. Ukr Math J 45, 609–624 (1993). https://doi.org/10.1007/BF01062955

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  • DOI: https://doi.org/10.1007/BF01062955

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