A new approach to asymptotic formulas for eigenfunctions of discontinuous non-selfadjoint Sturm-Liouville operators

DOI10.1007/s11868-020-00350-2zbMath1458.34042OpenAlexW3038947085MaRDI QIDQ2210486

Seyfollah Mosazadeh

Publication date: 6 November 2020

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-020-00350-2

zbMATH Keywords

eigenfunctionsasymptotic representationBessel functionsboundary conditions nonlinearly dependent on spectral parameternon-selfadjoint Sturm-Liouville operator

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

Inverse nodal problem for discontinuous Sturm-Liouville operator by new Prüfer substitutions

Uses Software

• DLMF

Cites Work

• Some properties of the eigenfunctions of Sturm-Liouville problem with two turning points
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• On the Canonical Solution of the Sturm–Liouville Problem with Singularity and Turning Point of Even Order
• SOME PROBLEMS IN THE THEORY OF A STURM-LIOUVILLE EQUATION
• Discontinuous inverse eigenvalue problems
• Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
• Eigenvalue approximations for linear periodic differential equations with a singularity
• Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators
• On a System of Dirac Differential Equations with Discontinuity Conditions Inside an Interval
• Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions
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