"A Q-Dirac Boundary Value Problem with Eigenparameter-Dependent Boundar" by Martin Bohner and F. Ayça Çetinkaya
 

A Q-Dirac Boundary Value Problem with Eigenparameter-Dependent Boundary Conditions

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

International Standard Serial Number (ISSN)

1452-8630

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023, All rights reserved.

Publication Date

01 Jan 2022

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