Existence of asymptotically stable periodic solutions of a Rayleigh type equation

DOI10.1016/j.na.2009.01.009zbMath1173.34328OpenAlexW2036403839MaRDI QIDQ1030066

Yong Wang, Liang Zhang

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.009

zbMATH Keywords

stabilityexistenceperiodic 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 (7)

New results on the existence of periodic solutions for Rayleigh equations with state-dependent delay ⋮ Positive periodic solutions of coupled singular Rayleigh systems ⋮ Modeling Oil-Water Two-Phase Flow Behavior of a Fractured Vertical Well with a Finite-Conductivity Fracture in Triple Media Carbonate Reservoir ⋮ Modeling the Nonlinear Oil-Water Two-Phase Flow Behavior for a Multiple-Fractured Horizontal Well in Triple Media Carbonate Reservoir ⋮ Global exponential stability of a discrete-time Rayleigh system with delays ⋮ Existence and uniqueness of anti-periodic solution for a kind of forced Rayleigh equation with state dependent delay and impulses ⋮ A graph-theoretic method to study the existence of periodic solutions for a coupled Rayleigh system via inequality techniques

Cites Work

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• Rate of decay of stable periodic solutions of Duffing equations
• Dynamics of a system exhibiting the global bifurcation of a limit cycle at infinity
• Coincidence degree, and nonlinear differential equations
• Periodic solutions for a kind of Rayleigh equation with a deviating argument.
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• 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 the Existence of Stable Periodic Solutions of Differential Equations of Duffing Type
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Unnamed Item

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