Abstract
In this work, we consider a boundary value problem for a q-Dirac equation. We prove orthogonality of the eigenfunctions, realness of the eigenvalues, and we study asymptotic formulas of the eigenfunctions. We show that the eigenfunctions form a complete system, we obtain the expansion formula with respect to the eigenfunctions, and we derive Parseval's equality. We construct the Weyl solution and the Weyl function. We prove a uniqueness theorem for the solution of the inverse problem with respect to the Weyl function.
Recommended Citation
M. Bohner and A. Çetinkaya, "Uniqueness For An Inverse Quantum-Dirac Problem With Given Weyl Function," Tatra Mountains Mathematical Publications, vol. 84, no. 2, pp. 1 - 18, Sciendo, Jun 2023.
The definitive version is available at https://doi.org/10.2478/tmmp-2023-0011
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
boundary value problem; Dirac operator; inverse problem; q-calculus; Weyl function
International Standard Serial Number (ISSN)
1210-3195
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2023 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Publication Date
01 Jun 2023
