On the asymptotics of eigenvalues for a Sturm-Liouville problem with symmetric single-well potential

DOI10.1515/dema-2023-0129OpenAlexW4391827102MaRDI QIDQ6190321

Elif Başkaya

Publication date: 5 March 2024

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2023-0129

zbMATH Keywords

asymptotic expansionsSturm-Liouville problemeigenvalue parameter in the boundary conditionsymmetric single-well potential

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Comparison theorems for the eigenvalue gap of Schrödinger operators on the real line
• On Green's function for boundary value problem with eigenvalue dependent quadratic boundary condition
• Eigenfunction and Green's function asymptotics for Hill's equation with symmetric single-well potential
• Instability intervals for Hill's equation with symmetric single-well potential
• Asymptotics of eigenvalues for regular Sturm--Liouville problems with eigenvalue parameter in the boundary condition
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Asymptotic Approximations of Eigen-Functions for Regular Sturm-Liouville Problems with Eigenvalue Parameter in the Boundary Condition for Integrable Potential
• The eigenvalue gap for one-dimensional Schrödinger operators with symmetric potentials
• Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
• Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions
• Eigenfunction Expansions for a Singular Eigenvalue Problem with Eigenparameter in the Boundary Condition
• 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
• On the first two eigenvalues of Sturm-Liouville operators
• Solving inverse nodal problem with spectral parameter in boundary conditions
• One boundary value problem including a spectral parameter in all boundary conditions