Group classification of second-order delay ordinary differential equations

DOI10.1016/j.cnsns.2009.06.013zbMath1221.34169OpenAlexW2029807545MaRDI QIDQ718253

P. Pue-On, Sergey V. Meleshko

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.06.013

zbMATH Keywords

Lie groupgroup analysisdifferential invariantdelay ordinary differential equation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) General theory of functional-differential equations (34K05) Lie algebras and Lie superalgebras (17B99) Invariant manifolds of functional-differential equations (34K19)

Related Items (13)

Lie symmetry analysis of fractional ordinary differential equation with neutral delay ⋮ On the complete group classification of the one-dimensional nonlinear Klein-Gordon equation with a delay ⋮ Group analysis of the one dimensional wave equation with delay ⋮ Lie group classification of first-order delay ordinary differential equations ⋮ Linear or linearizable first-order delay ordinary differential equations and their Lie point symmetries ⋮ Symmetry analysis of the nonlinear two-dimensional Klein-Gordon equation with a time-varying delay ⋮ Symmetry analysis of the nonhomogeneous inviscid Burgers equation with delay ⋮ Unnamed Item ⋮ Lie Group Analysis of the Time-delayed Inviscid Burgers' Equation ⋮ Lie symmetry analysis and exact solutions of fractional ordinary differential equations with neutral delay ⋮ Unnamed Item ⋮ Symmetry analysis of reaction diffusion equation with distributed delay ⋮ Symmetry analysis of space-time fractional Poisson equation with a delay

Cites Work

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• Ordinary and delay differential equations
• On definition of an admitted Lie group for functional differential equations.
• Lie Algebras of Vector Fields in the Real Plane
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Lie Algebras of Differential Operators in Two Complex Variables
• Functional differential equations

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