Requantization method and its application to the construction of asymptotics for solutions of non-Fuchsian equations with holomorphic coefficients

DOI10.1007/s10958-022-06181-4OpenAlexW4309634973MaRDI QIDQ2683631

M. V. Korovina, V. Yu. Smirnov

Publication date: 14 February 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06181-4

zbMATH Keywords

asymptoticsLaplace-Borel transformFuchsian linear differential equationresurgent functionirregular singular pointprincipal symbol of differential operatorrequantization method

Mathematics Subject Classification ID

Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Nonlinear ordinary differential equations and systems in the complex domain (34M04)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Differential equations with degeneration and resurgent analysis
• Existence of resurgent solutions for equations with higher-order degeneration
• An operator algebra on manifolds with cusp-type singularities
• 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
• Differential equations in spaces with asymptotics on manifolds with cusp singularities

This page was built for publication: Requantization method and its application to the construction of asymptotics for solutions of non-Fuchsian equations with holomorphic coefficients