On the Oscillation of Almost-Periodic Sturm-Liouville Operators with an Arbitrary Coupling Constant

DOI10.2307/2046511zbMath0587.34027OpenAlexW4250442163MaRDI QIDQ3714427

S. Gotskalk Halvorsen, Angelo B. Mingarelli

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046511

zbMATH Keywords

almost periodic functionsSturm-Liouville equationslinear second order differential equation

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Ordinary differential operators (34L99)

Related Items (5)

An oscillation criterion of almost-periodic Sturm-Liouville equations ⋮ Sturm-Liouville Equations with Besicovitch Almost-Periodicity ⋮ Oscillation of half-linear differential equations with asymptotically almost periodic coefficients ⋮ The ground state energy of Schrödinger operators ⋮ A non-oscillation theorem for differential matrix systems

Cites Work

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• Oscillation and disconjugacy for linear differential equations with almost periodic coefficients
• Non-oscillation domains of differential equations with two parameters
• The behaviour of solutions of a linear differential equation of second order
• A note on the oscillation of solutions of the differential equation $y=\lambda q(t)y$ with a periodic coefficient
• On the Non-Existence of Conjugate Points

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