On the determination of a Hill's equation from its spectrum

DOI10.1016/0022-247X(75)90120-1zbMath0331.34026OpenAlexW1978507263MaRDI QIDQ5905821

Wallace Goldberg

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0022-247x(75)90120-1

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Ordinary differential operators (34L99)

Related Items

On a Hill's equation with selected gaps in its spectrum, Asymptotic behavior of solutions of the initial boundary value problem for a hyperbolic equation with periodic coefficients on the semi-axis, On a periodic boundary value problem with a finite number of gaps in its spectrum, Necessary and sufficient conditions for determining a Hill’s equation from its spectrum, The calculation for characteristic multiplier of Hill's equation \(x^{\prime\prime}+q(t)x=0\) in case \(q(t)\) with positive mean, The spectrum of Hill's equation, An inverse problem for a Hill's equation, A note for a second order periodic linear differential equation, Necessary and sufficient conditions for determining a Hill's equation from its spectrum, The stationary equations of a coupled nonlinear Schrödinger system, On a periodic boundary value problem with only a finite number of simple eigenvalues, On the integrability of Hill's equations with finite band spectra

Cites Work

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• Function-theoretic properties of the discriminant of Hill's equation
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Periodic solutions of the KdV equation
• Stable hill equations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• On the determination of a Hill's equation from its spectrum