The first instability interval for Hill equations with symmetric single well potentials

DOI10.1090/S0002-9939-97-03705-2zbMath0865.34018OpenAlexW1530144347MaRDI QIDQ4333010

Min-Jei Huang

Publication date: 19 February 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03705-2

zbMATH Keywords

eigenvalueHill's equationHill equationinstability intervalsymmetric single wellfirst instability intervalsymmetric single well potential.

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

On the Neumann eigenvalues for second-order Sturm-Liouville difference equations ⋮ On the asymptotics of eigenvalues for a Sturm-Liouville problem with symmetric single-well potential ⋮ Instability intervals for Hill's equation with symmetric single-well potential ⋮ Eigenfunction and Green's function asymptotics for Hill's equation with symmetric single-well potential

Cites Work

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• Function-theoretic properties of the discriminant of Hill's equation
• On the determination of a Hill's equation from its spectrum. II
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
• Shorter Notes: On a Hill's Equation with Double Eigenvalues
• The Eigenvalue Gap for One-Dimensional Convex Potentials
• Stable hill equations

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