Stability Results for Periodic Second Order Linear Differential Equations

DOI10.2307/2044760zbMath0568.34036OpenAlexW4256567362MaRDI QIDQ3684453

Lynn H. Erbe

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044760

zbMATH Keywords

periodic coefficientsApplicationsHill equationperiodic second order linear differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

Stabilization of optically coupled lasers with periodic pumping ⋮ Stability criteria for second order linear ordinary differential equations ⋮ Stability criteria for systems of two first-order linear ordinary differential equations ⋮ Stability criterion for systems of two first-order linear ordinary differential equations

Cites Work

• The least eigenvalue of Hill's equation
• Sur une inégalité de C. de la Vallée Poussin dans la théorie de l'équation différentielle linéaire du second ordre
• Stability and periodicity for linear differential equations with periodic coefficients
• Third Order Linear Differential Equations with Periodic Coefficients
• On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory
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