Movable singularities of equations of Liénard type

DOI10.1007/BF03321744zbMath1194.34165MaRDI QIDQ1045729

Rodney G. Halburd, Galina Filipuk

Publication date: 15 December 2009

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: http://www.heldermann.de/CMF/CMF09/CMF092/cmf09035.htm

zbMATH Keywords

movable singularitiesLiénard equationsalgebraic singularities

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (6)

Regularising transformations for complex differential equations with movable algebraic singularities ⋮ Polynomial Hamiltonian systems with movable algebraic singularities ⋮ Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics ⋮ Rational ODEs with Movable Algebraic Singularities ⋮ On singularities of certain non-linear second-order ordinary differential equations ⋮ Regularising transformations for the \((n,n+1)\)-Liénard equations

Cites Work

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• A class of differential equations of PI-type with the quasi-Painlevé property
• Painlevé differential equations in the complex plane
• Movable algebraic singularities of second-order ordinary differential equations
• On the Singularities in the Complex Plane of the Solutions of yn+y′f(y)+g(y)=P(x)
• Solutions of the first and second Painlevé equations are meromorphic

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