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Non-Integrability of Painlevé V Equations in the Liouville Sense and Stokes Phenomenon

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Publication:2893951
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DOI10.4236/APM.2011.14031zbMath1248.34137OpenAlexW1972067377MaRDI QIDQ2893951

Tsvetana Stoyanova

Publication date: 26 June 2012

Published in: Advances in Pure Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4236/apm.2011.14031


zbMATH Keywords

Hamiltonian systemdifferential Galois theoryStokes phenomenonPainlevé V equation


Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)


Related Items (3)

Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena ⋮ Zero level perturbation of a certain third-order linear solvable ODE with an irregular singularity at the origin of Poincaré rank 1 ⋮ Variations for some Painlevé equations







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