Sturm-Liouville problem via coulomb type in difference equations

DOI10.2298/FIL1704989BzbMath1488.39030OpenAlexW2594733911MaRDI QIDQ5006800

Erdal Bas, Ramazan Ozarslan

Publication date: 17 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1704989b

zbMATH Keywords

Schrödinger operatorSturm-Liouville problemasymptotic formulaeigenfunctionCoulomb potentialdifference equation

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Boundary value problems for difference equations (39A27)

Related Items (4)

Spectral structure and solution of fractional hydrogen atom difference equations ⋮ Existence and uniqueness analysis of solutions for Hilfer fractional spectral problems with applications ⋮ The direct spectral problem via local derivative including truncated Mittag-Leffler function ⋮ A Sturm-Liouville approach for continuous and discrete Mittag-Leffler kernel fractional operators

Cites Work

• Self-adjoint extensions for second-order symmetric linear difference equations
• Eigenvalues of second-order difference equations with coupled boundary conditions
• Spectral theory of Sturm-Liouville difference operators
• Spectral analysis of second order difference equations
• Fractional singular Sturm-Liouville operator for Coulomb potential
• Spectral theory of second-order vector difference equations
• A spectral analysis for self-adjoint operators generated by a class of second order difference equations
• Eigenvalue comparisons for second order difference equations with Neumann boundary conditions
• Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential
• Spectral and oscillation theory for general second order Sturm-Liouville difference equations
• Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions
• Discrete and continuous boundary problems
• Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity
• Second-order Sturm-Liouville difference equations and orthogonal polynomials
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