Hill's equation revisited

DOI10.1016/0022-247X(86)90102-2zbMath0594.34030MaRDI QIDQ1076877

Walter Leighton

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

oscillatory solutionsHill's equationsecond order differential equation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items

Simple conditions for parametrically excited oscillations of generalized Mathieu equations ⋮ Oscillation problems for Hill's equation with periodic damping ⋮ Nonoscillation of Mathieu's equation whose coefficient is a finite Fourier series approximating a square wave ⋮ Nonoscillation of Mathieu equations with two frequencies ⋮ On the oscillation of Hill's equations under periodic forcing ⋮ Fibration of the phase space for the Korteweg-de Vries equation

Cites Work

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• Oscillation and disconjugacy for linear differential equations with almost periodic coefficients
• The least eigenvalue of Hill's equation
• Some Oscillation Theory
• Principal Quadratic Functionals and Self-Adjoint Second-Order Differential Equations