Divergent series, summability and resurgence. III. Resurgent methods and the first Painlevé equation

DOI10.1007/978-3-319-29000-3zbMath1358.34002OpenAlexW4232283522MaRDI QIDQ276343

Éric Delabaere

Publication date: 3 May 2016

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-29000-3

zbMATH Keywords

transseriesalien derivativeBorel-Laplace summabilitybridge equationfirst Painlevé equationformal integralnonlinear Stokes phenomenonresurgencetritruncated solution

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Research exposition (monographs, survey articles) pertaining to sequences, series, summability (40-02)

Related Items (4)

On the connection problem for Painlevé I ⋮ On the Riemann–Hilbert approach to asymptotics of tronquée solutions of Painlevé I ⋮ Riccati equations revisited: linearization and analytic interpretation of instanton-type solutions ⋮ Linear differential equations as a data structure

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