Non-oscillation criterion for generalized Mathieu-type differential equations with bounded coefficients

DOI10.1090/proc/15626zbMath1487.34091OpenAlexW3159854412WikidataQ115290702 ScholiaQ115290702MaRDI QIDQ5164048

Kazuki Ishibashi

Publication date: 9 November 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15626

zbMATH Keywords

Mathieu equationvariable transformationparametric excitationnon-oscillationnon-periodic

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (1)

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Cites Work

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• Simple conditions for parametrically excited oscillations of generalized Mathieu equations
• Dynamics of the pendulum with periodically varying length
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• Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation
• Nonoscillation of Mathieu's equation whose coefficient is a finite Fourier series approximating a square wave
• Nonoscillation of Mathieu equations with two frequencies
• \(2:1:1\) resonance in the quasi-periodic Mathieu equation
• Disconjugacy
• A Quasiperiodic Mathieu–Hill Equation
• Transition Curves for the Quasi-Periodic Mathieu Equation
• Ordinary Differential Equations

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