Existence and uniqueness of periodic solutions for forced Rayleigh-type equations

DOI10.1016/j.amc.2009.01.051zbMath1175.34011OpenAlexW2058381311MaRDI QIDQ1021500

Bingwen Liu, Hong Gao

Publication date: 8 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.051

zbMATH Keywords

periodic solutionsRayleigh equation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (9)

New results on the existence of periodic solutions for Rayleigh equations with state-dependent delay ⋮ Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh equations ⋮ Periodic solutions for prescribed mean curvature Rayleigh equation with a deviating argument ⋮ Periodic solutions for Duffing type \(p\)-Laplacian equation with multiple constant delays ⋮ Periodic solutions of Rayleigh equations via time-maps ⋮ A continuation lemma and its applications to periodic solutions of Rayleigh differential equations with subquadratic potential conditions ⋮ Existence and uniqueness of anti-periodic solution for a kind of forced Rayleigh equation with state dependent delay and impulses ⋮ Positive periodic solution for \(\phi\)-Laplacian Rayleigh equation with strong singularity ⋮ A graph-theoretic method to study the existence of periodic solutions for a coupled Rayleigh system via inequality techniques

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of periodic solutions to \(p\)-Laplacian Rayleigh differential equation with a delay
• Existence and uniqueness of periodic solutions for a kind of Duffing type \(p\)-Laplacian equation
• Stability and periodic solutions of ordinary and functional differential equations
• Ordinary differential equations with nonlinear boundary conditions
• The existence of \(2\pi\)-periodic solutions for Duffing equation \(\ddot x + g(x(t - \tau ))=p(t)\) with delay
• 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 for Rayleigh type \(p\)-Laplacian equation with deviating arguments
• On Non-Linear Differential Equations of the Second Order with Integrable Forcing Term^†

This page was built for publication: Existence and uniqueness of periodic solutions for forced Rayleigh-type equations