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

DOI10.1134/S0012266118010044zbMath1402.34056OpenAlexW2802459587MaRDI QIDQ1649465

M. V. Korovina, V. Yu. Smirnov

Publication date: 6 July 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118010044

zbMATH Keywords

asymptoticsmultiple rootscusp-type degeneration

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

Derivation of asymptotics of partial differential equations in a neighborhood of irregular singular points ⋮ Uniform asymptotics of solutions to linear differential equations with holomorphic coefficients in the neighborhood of an infinitely ⋮ Requantization method and its application to the construction of asymptotics for solutions of non-Fuchsian equations with holomorphic coefficients

Cites Work

• Unnamed Item
• Computation of the asymptotics of solutions for equations with polynomial degeneration of the coefficients
• Repeated quantization method and its applications to the construction of asymptotics of solutions of equations with degeneration
• The asymptotic behavior of solutions to second-order equations with higher-order degeneracies and the Laplace equation on a manifold with a cuspidal singularity
• Differential equations with degeneration and resurgent analysis
• Asymptotics of solutions of equations with higher degenerations

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