Instability intervals of the Ince and Hill equations

DOI10.1524/anly.2005.25.3.189zbMath1124.34011OpenAlexW2058314926MaRDI QIDQ5480957

Hans W. Volkmer

Publication date: 7 August 2006

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2005.25.3.189

zbMATH Keywords

perturbation parameterHill equationInce equationinstability interval

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items

The Laplace-Beltrami operator on the embedded torus, On the instability tongues of the Hill equation coupled with a conservative nonlinear oscillator

Cites Work

• The asymptotics of the gap in the Mathieu equation
• Smoothness of Schrödinger operator potential in the case of Gevrey type asymptotics of the gaps.
• Remarks on the perturbation theory for problems of Mathieu type
• Instability intervals of Hill's equation
• Instability intervals of Hill's equation