Abstract
We study the asymptotics of homogeneous differential equations with degeneration of the cusp type in the principal symbol. We construct the asymptotic expansion of solutions for the case in which the principal symbol of the operator has simple singularities.
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Kondrat’ev, V.A., Boundary Value Problems for Elliptic Equations in Domains with Conical or Angular Points, Tr. Mosk. Mat. Obs., 1967, vol. 16, pp. 209–292.
Korovina, M.V. and Shatalov, V.E., Differential Equations with Degeneration and Resurgent Analysis, Differ. Uravn., 2010, vol. 46, no. 9, pp. 1259–1277.
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Sternin, B. and Shatalov, V., Borel-Laplace Transform and Asymptotic Theory. Introduction to Resurgent Analysis, CRC, 1996.
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Original Russian Text © M.V. Korovina, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 5, pp. 710–722.
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Korovina, M.V. Asymptotics of solutions of equations with higher degenerations. Diff Equat 48, 717–729 (2012). https://doi.org/10.1134/S0012266112050102
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DOI: https://doi.org/10.1134/S0012266112050102