Stability regions for Hill's equation

DOI10.1016/0022-0396(75)90003-0zbMath0319.34047OpenAlexW2077952210MaRDI QIDQ1222782

W. S. Loud

Publication date: 1975

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90003-0

Mathematics Subject Classification ID

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

Related Items (11)

On eigencurves of elliptic boundary value problems ⋮ Eigencurves for two-parameter self-adjoint ordinary differential equations of even order ⋮ On a problem of R. G. D. Richardson ⋮ Transfer of energy from flexural to torsional modes for the fish-bone suspension bridge model ⋮ Stability transitions for periodic orbits in Hamiltonian systems ⋮ Asymptotics of eigencurves for second order ordinary differential equations. II ⋮ Two parameter asymptotic spectra in the uniformly elliptic case ⋮ Branching of solutions of two-parameter boundary-value problems for second order differential equations ⋮ Stability of a Class of Coupled Hill's Equations and the Lorentz Oscillator Model ⋮ The Mathieu differential equation and generalizations to infinite fractafolds ⋮ Spectral properties of two-parameter eigenvalue problems

Cites Work

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• On the Coexistence Problem for a Special Hill's Equation
• A Special Hill's Equation with Discontinuous Coefficients
• Instability intervals of Hill's equation
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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