New results of periodic solutions for a kind of forced Rayleigh-type equations

DOI10.1016/j.nonrwa.2008.10.018zbMath1186.34057OpenAlexW1967312341MaRDI QIDQ1049418

Jianying Shao, Li Juan Wang

Publication date: 12 January 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.10.018

zbMATH Keywords

existenceperiodic solutionsuniquenesstopological degreeRayleigh equation

Mathematics Subject Classification ID

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

Related Items (11)

Study on a kind of neutral Rayleigh equation with singularity ⋮ Positive periodic solution for \(p\)-Laplacian neutral Rayleigh equation with singularity of attractive type ⋮ New approach for the existence and uniqueness of periodic solutions to \(p\)-Laplacian prescribed mean curvature equations ⋮ New results on the existence of periodic solutions for Rayleigh equations with state-dependent delay ⋮ Periodic solutions for a generalized \(p\)-Laplacian equation ⋮ Singularity problems to fourth-order Rayleigh equation with time-dependent deviating argument ⋮ Existence and uniqueness of a positive periodic solution for Rayleigh type \(\phi\)-Laplacian equation ⋮ A note on coincidence degree theory ⋮ Existence and uniqueness of periodic solutions for a kind of Rayleigh equation with finitely many deviating arguments ⋮ Positive periodic solution for \(\phi\)-Laplacian Rayleigh equation with strong singularity ⋮ Existence and uniqueness of periodic solution for prescribed mean curvature Rayleigh type \(p\)-Laplacian equation

Cites Work

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• On the existence of periodic solutions to \(p\)-Laplacian Rayleigh differential equation with a delay
• New results of periodic solutions for forced Rayleigh-type equations
• Stability and periodic solutions of ordinary and functional differential equations
• Coincidence degree, and nonlinear differential equations
• Theory of functional differential equations. 2nd ed
• 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
• On Non-Linear Differential Equations of the Second Order with Integrable Forcing Term^†

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