ON A REGULARISATION OF A NONLINEAR DIFFERENTIAL EQUATION RELATED TO THE NON-HOMOGENEOUS AIRY EQUATION

DOI10.2478/9788366675360-008zbMath1496.34128OpenAlexW3205100898MaRDI QIDQ5064887

Thomas Kecker, Galina Filipuk, Federico Zullo

Publication date: 16 March 2022

Published in: Proceedings of the conference Contemporary Mathematics in Kielce 2020, February 24-27 2021 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/9788366675360-008

zbMATH Keywords

singularitiesnonlinear differential equationsPainlevé testAiry equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Nonlinear ordinary differential equations and systems in the complex domain (34M04)

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