On definition of an admitted Lie group for functional differential equations.

DOI10.1016/S1007-5704(03)00020-0zbMath1045.34046WikidataQ115337355 ScholiaQ115337355MaRDI QIDQ1417837

Jessada Tanthanuch, Sergey V. Meleshko

Publication date: 6 January 2004

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

zbMATH Keywords

symmetrydelay differential equationgroup analysisdetermining equation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Transformation and reduction of functional-differential equations and systems, normal forms (34K17)

Related Items (12)

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 ⋮ 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 ⋮ Group classification of second-order delay ordinary differential equations ⋮ Symmetry analysis of reaction diffusion equation with distributed delay ⋮ Unnamed Item ⋮ Symmetry analysis of space-time fractional Poisson equation with a delay

Cites Work

• Differential-difference equations
• Theory of functional differential equations. 2nd ed
• Ordinary and delay differential equations
• Existence of generalized solutions of hyperbolic functional-differential equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
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