On the instability intervals of the Mathieu--Hill operator

DOI10.1007/s11005-007-0215-6zbMath1173.47028OpenAlexW2079139720MaRDI QIDQ1013601

Alp Arslan Kıraç

Publication date: 20 April 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-007-0215-6

zbMATH Keywords

asymptotic formulasinstability intervalMathieu-Hill operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (2)

Refined asymptotics of the spectral gap for the Mathieu operator ⋮ On reducibility of 1d wave equation with quasiperiodic in time potentials

Cites Work

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• The asymptotics of the gap in the Mathieu equation
• On the Riesz basisness of the root functions of the nonself-adjoint Sturm-Liouville operator
• Asymptotic estimates for the Sturm-Liouville spectrum
• On the Width of the Instability Intervals of the Mathieu Equation
• The inverse problem for periodic potentials
• On the nonself-adjoint differential operators with the quasiperiodic boundary conditions
• Estimates on the Stability Intervals for Hill's Equation
• The spectral expansion for a nonself-adjoint Hill operator with a locally integrable potential

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