Periodic solutions of second-order nonlinear difference equations containing a small parameter. III: Perturbation theory

DOI10.1016/0016-0032(86)90054-2zbMath0592.39005OpenAlexW1990181498MaRDI QIDQ1075535

Ronald E. Mickens

Publication date: 1986

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(86)90054-2

zbMATH Keywords

periodic solutionsperturbation techniquessmall parameterLindstedt-Poincaré methodnonlinear difference equationssecond-order

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (4)

Periodic solutions of second-order nonlinear difference equations containing a small parameter. IV: Multi-discrete time method ⋮ On the use of nonstandard finite difference methods† ⋮ A study on periodic solutions of higher order nonlinear functional difference equations withp-Laplacian† ⋮ An order ε²perturbation procedure for second order nonlinear difference equations

Cites Work

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• Periodic solutions of second-order nonlinear difference equations containing a small parameter
• Periodic solutions of second-order nonlinear difference equations containing a small parameter. II: Equivalent linearization
• Second-order nonlinear difference equations containing small parameters
• Generalization of the method of slowly varying amplitude and phase to non-linear oscillatory systems with two degrees of freedom
• Perturbation methods and non-linear hyperbolic waves
• Krylov–Bogoljubov Method for Difference Equations

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