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Construction of Asymptotics of Solutions of Differential Equations with Cusp-Type Degeneration in the Coefficients in the Case of Multiple Roots of the Highest-Order Symbol

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Abstract

The asymptotics of linear differential equations with cusp-type degeneration are studied. The problem of constructing asymptotics at infinity for equations with holomorphic coefficients can be reduced to that problem. The main result is the construction of asymptotics of solutions of such equations in the case of multiple roots of the highest-order symbol under certain additional conditions on the lower-order symbol of the differential operator.

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References

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    M. V. Korovina

  2. Moscow Aviation Institute (National Research University), Moscow, 125993, Russia

    V. Yu. Smirnov

  3. Russian University of Transport, Moscow, 127994, Russia

    V. Yu. Smirnov

Authors
  1. M. V. Korovina
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  2. V. Yu. Smirnov
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Corresponding author

Correspondence to M. V. Korovina.

Additional information

Original Russian Text © M.V. Korovina, V.Yu. Smirnov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 1, pp. 30–39.

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Korovina, M.V., Smirnov, V.Y. Construction of Asymptotics of Solutions of Differential Equations with Cusp-Type Degeneration in the Coefficients in the Case of Multiple Roots of the Highest-Order Symbol. Diff Equat 54, 28–37 (2018). https://doi.org/10.1134/S0012266118010044

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  • DOI: https://doi.org/10.1134/S0012266118010044

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