The integration of ordinary differential equations: Factorization and transformations

DOI10.1016/S0378-4754(01)00337-8zbMath1003.65078MaRDI QIDQ5950176

Lev M. Berkovich

Publication date: 9 October 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

integrabilitytransformationREDUCEfactorizationcomputer algebra systemdifferential resultantexact linearizationLiouvillian solution

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (4)

Third-order ordinary differential equations equivalent to linear second-order ordinary differential equations via tangent transformations ⋮ Linearization of fifth-order ordinary differential equations by generalized Sundman transformations ⋮ Factorization of self-adjoint ordinary differential equations ⋮ Linearizability of nonlinear third-order ordinary differential equations by using a generalized linearizing transformation

Uses Software

• REDUCE
• SOLDE

Cites Work

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• Method of exact linearization of nonlinear autonomous differential equations of second order
• Factorization of nonlinear ordinary differential equations, and linearization.
• Symmetries of nonlinear differential equations and linearisation
• Classification of Second-Order Ordinary Differential Equations Admitting Lie Groups of Fibre-Preserving Point Symmetries
• Group analysis of ordinary differential equations and the invariance principle in mathematical physics (for the 150th anniversary of Sophus Lie)
• The Painleve test, hidden symmetries and the equation y"+yy'+Ky³=0
• The Method of an Exact Linearization of n-order Ordinary Differential Equations
• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0

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