Application of resurgent analysis to the construction of asymptotics of linear differential equations with degeneration in coefficients

DOI10.1007/s10958-021-05470-8zbMath1472.34157OpenAlexW3187921059WikidataQ115382140 ScholiaQ115382140MaRDI QIDQ2044841

Yanyan Li

Publication date: 10 August 2021

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

Full work available at URL: https://doi.org/10.1007/s10958-021-05470-8

zbMATH Keywords

asymptoticsirregular singular pointsresurgent analysis

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

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• 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
• An operator algebra on manifolds with cusp-type singularities
• Differential equations in spaces with asymptotics on manifolds with cusp singularities
• Nonresonance case for differential equations with degeneration
• Asymptotics of solutions of differential equations with degeneracies in the case of resonance

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