On a periodic boundary value problem with only a finite number of simple eigenvalues

DOI10.1016/0022-247X(83)90156-7zbMath0528.34015MaRDI QIDQ787002

Wallace Goldberg, Harry Hochstadt

Publication date: 1983

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

zbMATH Keywords

eigenvalueszerosHill's equationperiodic potential function

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05) Ordinary differential operators (34L99)

Related Items (3)

On the integrability of Hill's equations with finite band spectra ⋮ Derivation of the Korteweg-de Vries equation for an operator with a mixed spectrum ⋮ On the solvability of Hill's equation by quadrature

Cites Work

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• A direct and inverse problem for a Hill's equation with double eigenvalues
• On a Hill's equation with selected gaps in its spectrum
• On a periodic boundary value problem with only two simple eigenvalues
• Necessary and sufficient conditions for determining a Hill's equation from its spectrum
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Shorter Notes: On a Hill's Equation with Double Eigenvalues
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• On the determination of a Hill's equation from its spectrum
• On the determination of a Hill's equation from its spectrum

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