A Q-Dirac Boundary Value Problem with Eigenparameter-Dependent Boundary Conditions
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.
M. Bohner and F. A. Çetinkaya, "A Q-Dirac Boundary Value Problem with Eigenparameter-Dependent Boundary Conditions," Applicable Analysis and Discrete Mathematics, vol. 16, no. 2, pp. 534 - 547, Jan 2022.
The definitive version is available at https://doi.org/10.2298/AADM220323036B
Mathematics and Statistics
Keywords and Phrases
Boundary value problems; Dirac operator; Eigenvalues and eigenfunctions; Green's function; Q-calculus
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2022
Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, Grant 1059B191900068