Uniform asymptotics of solutions to linear differential equations with holomorphic coefficients in the neighborhood of an infinitely

DOI10.1134/s1995080223070260zbMath1527.34134OpenAlexW4388000659MaRDI QIDQ6059301

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Publication date: 2 November 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223070260

zbMATH Keywords

differential equationsholomorphic coefficientsirregular singular pointsresurgent analysisLaplace-Borel transformation

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) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

• 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
• 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
• Asymptotics of solutions of equations with higher degenerations
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