Work

Vectorial Inverse Sturm–Liouville Problem With Local Derivative

Year: 2025

Type: article

Abstract: ABSTRACT This study provides proof of the Ambarzumyan theorem for the ‐dimensional vectorial Sturm–Liouville problem. In defining the problem, we applied local derivative which is conformable. Notably, we observed that the multiplicity of eigenvalues is n in this problem. Furthermore, we obtained identical results when the boundary conditions were periodic and antiperiodic. Despite the similarity between our method and that used in the classical problem, we believe that our results will contribute to the field of vectorial Sturm–Liouville problems.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10937

Authors: Songul Tutuncu, H.Kemaloglu Koyunbakan, Yildiz Emul

Institution: Fırat University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4408968212

FWCI:

Cites: 34

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Related to: 10