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Repeated quantization method and its applications to the construction of asymptotics of solutions of equations with degeneration

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Abstract

We study the asymptotics of solutions of homogeneous nth-order differential equations with a cusp degeneration for the case in which the principal symbol has multiple roots. We describe a new method for constructing the asymptotics, which we call the repeated quantization method. Examples of application of the method are given.

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References

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Correspondence to M. V. Korovina.

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Original Russian Text © M.V. Korovina, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 1, pp. 60–77.

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Korovina, M.V. Repeated quantization method and its applications to the construction of asymptotics of solutions of equations with degeneration. Diff Equat 52, 58–75 (2016). https://doi.org/10.1134/S0012266116010055

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  • DOI: https://doi.org/10.1134/S0012266116010055

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