Nonlinear ordinary differential equations resolvable with respect to an irregular singular point

DOI10.1006/jdeq.1994.1048zbMath0804.34008OpenAlexW2028296112MaRDI QIDQ1327090

V. Pereyra

Publication date: 22 November 1994

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1994.1048

zbMATH Keywords

fractional powerssecond Painlevé equationPoincaré rankirregular singular pointunique formal series solution

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

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Asymptotics beyond all orders and analytic properties of inverse Laplace transforms of solutions, Painlevé Tests, Singularity Structure and Integrability, Non-existence of elliptic travelling wave solutions of the complex Ginzburg--Landau equation