Local expansions of solutions to the fifth Painlevé equation

DOI10.1134/S1064562411030276zbMath1235.34235MaRDI QIDQ656339

A. V. Parusnikova, Alexander D. Bruno

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

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)

Related Items (7)

On the solutions of ordinary differential equations in the form of Dulac series ⋮ Power geometry and elliptic expansions of solutions to the Painlevé equations ⋮ On Gevrey orders of formal power series solutions to the third and fifth Painlevé equations near infinity ⋮ Unnamed Item ⋮ On the convergence of formal exotic series solutions of an ODE ⋮ The Maillet-Malgrange type theorem for generalized power series ⋮ On complicated expansions of solutions to ODES

Cites Work

• Complicated expansions of solutions to an ordinary differential equation
• Painlevé differential equations in the complex plane
• Asymptotic expansions of solutions of the sixth Painlevé equation
• Asymptotic behaviour and expansions of solutions of an ordinary differential equation

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