Eigenfunction and Green's function asymptotics for Hill's equation with symmetric single-well potential

DOI10.1007/S11253-022-02059-5OpenAlexW4302763924MaRDI QIDQ2084239

Ayşe Kabataş

Publication date: 18 October 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-022-02059-5

zbMATH Keywords

Green's functionperiodic boundary conditionsHill's equationasymptotics of eigenvalues and eigenfunctionssemi-periodic boundary conditions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Green's functions for ordinary differential equations (34B27) 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)

One boundary value problem including a spectral parameter in all boundary conditions ⋮ On the asymptotics of eigenvalues for a Sturm-Liouville problem with symmetric single-well potential

Cites Work

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• Periodic solutions of the Hill equation
• The spectrum of Hill's equation
• On Green's function for boundary value problem with eigenvalue dependent quadratic boundary condition
• Green's functions and spectral theory for the Hill's equation
• Instability intervals for Hill's equation with symmetric single-well potential
• On a class of Hill's equations having explicit solutions
• On comparison principles for the periodic Hill's equation
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• The first instability interval for Hill equations with symmetric single well potentials
• Approximation Methods in Science and Engineering

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