On algebraic multiplicity of (anti)periodic eigenvalues of Hill’s equations

DOI10.1090/proc/14003zbMath1387.34043OpenAlexW2790774801MaRDI QIDQ4636758

Zhijie Chen, Chang-Shou Lin

Publication date: 20 April 2018

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

Full work available at URL: https://doi.org/10.1090/proc/14003

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

Deformation of the spectrum for Darboux-Treibich-Verdier potential along \(\mathrm{Re}\,\tau =\frac{1}{2}\) ⋮ Spectrum of the Lamé operator and application. I: Deformation along \(\operatorname{Re} \tau = \frac{ 1}{ 2} \) ⋮ ᵉe-symmetric second order differential operators ⋮ Spectrum of the Lamé operator and application. II: When an endpoint is a cusp

Cites Work

• Mean field equations, hyperelliptic curves and modular forms. I
• Elliptic functions, Green functions and the mean field equations on tori
• Picard potential and Hill's equation on a torus
• Green function, Painlevé VI equation, and Eisenstein series of weight one
• Complex hill's equation and the complex periodic korteweg-de vries equations
• Singularities of the complex korteweg-de vries flows
• On Hill's Equation with a Singular Complex-Valued Potential
• Lamé Potentials and the Stationary (m)KdV Hierarchy

This page was built for publication: On algebraic multiplicity of (anti)periodic eigenvalues of Hill’s equations