Solutions of equivariance for iterative differential equations.

DOI10.1016/j.aml.2004.06.002zbMath1068.34069OpenAlexW2090214241MaRDI QIDQ1767119

Dilian Yang, Wei Nian Zhang

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.06.002

zbMATH Keywords

Lie groupFixed-point theoremEquivarianceFinitely generatedIterative differential equation

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Transformation and reduction of functional-differential equations and systems, normal forms (34K17)

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Cites Work

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• Singularities and groups in bifurcation theory. Volume I
• The functional differential equation \(x'(t)=x(x(t))\)
• Singularities and groups in bifurcation theory. Volume II
• Smooth solutions of a nonhomogeneous iterative functional differential equation with variable coefficients
• On the existence of periodic solutions of z'(t)=-az(t-r+uk(t,z(t)))+F(t)
• Smooth solutions of a nonhomogeneous iterative functional differential equation
• Analytic solutions of an iterative functional differential equation

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