Article
A Q-Dirac Boundary Value Problem with Eigenparameter-Dependent Boundary Conditions
Applicable Analysis and Discrete Mathematics
Abstract
We study a boundary value problem for the q-Dirac equation and eigenvaluedependent boundary conditions. We introduce a self-adjoint operator in a suitable Hilbert space and illustrate the boundary value problem as a spectral problem for this operator. We investigate the properties of the eigenvalues and vector-valued eigenfunctions. We construct Green's function.
Department(s)
Mathematics and Statistics
Comments
Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, Grant 1059B191900068
Keywords and Phrases
- Boundary value problems,
- Dirac operator,
- Eigenvalues and eigenfunctions,
- Green's function,
- Q-calculus
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023, All rights reserved.
Publication Date
1-1-2022
Publication Date
01 Jan 2022
Citation Information
Martin Bohner and F. Ayça Çetinkaya. "A Q-Dirac Boundary Value Problem with Eigenparameter-Dependent Boundary Conditions" Applicable Analysis and Discrete Mathematics Vol. 16 Iss. 2 (2022) p. 534 - 547 ISSN: 1452-8630 Available at: http://works.bepress.com/martin-bohner/235/