An inverse problem for a differential operator with a mixed spectrum

DOI10.1016/0022-247X(85)90107-6zbMath0557.34018MaRDI QIDQ762328

Harry Hochstadt, Wallace Goldberg

Publication date: 1985

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

Mathematics Subject Classification ID

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

Related Items (5)

Inverse problem for a quadratic pencil of Sturm-Liouville operators with finite-gap periodic potential on the half-line ⋮ A generalization of Borg's inverse theorem for Hill's equations ⋮ Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential ⋮ Derivation of the Korteweg-de Vries equation for an operator with a mixed spectrum ⋮ Inverse Sturm-Liouville problems and Hill's equation

Cites Work

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• The spectrum of Hill's equation
• Necessary and sufficient conditions for determining a Hill's equation from its spectrum
• Function-theoretic properties of the discriminant of Hill's equation
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• On the determination of a differential equation from its spectral function
• An Inverse Problem for a Hill’s Equation
• The inverse problem for periodic potentials
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• On the determination of a Hill's equation from its spectrum

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