EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS OF A RAYLEIGH TYPE EQUATION

DOI10.1017/S0004972708001135zbMath1214.34035OpenAlexW2068555736MaRDI QIDQ3633328

Xian-Zhi Dai, Yong Wang

Publication date: 18 June 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972708001135

zbMATH Keywords

stabilityuniquenessperiodic solutionRayleigh equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Applications of operator theory to differential and integral equations (47N20)

Related Items (3)

Study on a kind of neutral Rayleigh equation with singularity ⋮ Positive periodic solution for \(p\)-Laplacian neutral Rayleigh equation with singularity of attractive type ⋮ Positive periodic solution for \(\phi\)-Laplacian Rayleigh equation with strong singularity

Cites Work

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• Rate of decay of stable periodic solutions of Duffing equations
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• Dynamics of a system exhibiting the global bifurcation of a limit cycle at infinity
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Periodic solutions for a kind of Rayleigh equation with a deviating argument.
• A priori bounds for periodic solutions of a delay Rayleigh equation
• Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument
• Periodic solutions of some vector retarded functional differential equations
• On the Existence of Stable Periodic Solutions of Differential Equations of Duffing Type

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