Third Order Linear Differential Equations with Periodic Coefficients

DOI10.2307/2041436zbMath0412.34045OpenAlexW4253995571MaRDI QIDQ4200536

Lynn H. Erbe

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041436

zbMATH Keywords

instabilityoscillationperiodic solutionFloquet theorypartial asymptotic stabilitydisconjugacycharacteristic multipliersthird order linear differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (2)

Stability Results for Periodic Second Order Linear Differential Equations ⋮ On the properties of a class of higher-order Mathieu equations originating from a parametric quantum oscillator

Cites Work

• The behavior of solutions of the differential equation \(y+p(x)y'+q(x)y = 0\)
• Disconjugacy conditions for linear third-order differential equations
• Disconjugacy
• An asymptotic property of solutions of \(y+py'+qy=0\)
• Stability and periodicity for linear differential equations with periodic coefficients
• Disconjugacy Conditions for the Third Order Linear Differential Equation
• On Disconjugacy Criteria
• Sur la distance entre les zéros de l'équation différentielle linéaire du troisième ordre
• Unnamed Item

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