A q-DIRAC BOUNDARY VALUE PROBLEM WITH EIGENPARAMETER-DEPENDENT BOUNDARY CONDITIONS

Applicable Analysis and Discrete Mathematics

article

Martin Bohner¹  F. Ayca Cetinkaya² 

[1] Missouri University of Science and Technology;Department of Mathematics, Mersin University

关键词: q-calculus;    Dirac operator;    Boundary value problems;    Eigenvalues and eigenfunctions;    Green’s function.;   

DOI  :  10.2298/AADM220323036B

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

We study a boundary value problem for the q-Dirac equation and eigenvaluedependent boundary conditions. We introduce a self-adjoint operator in asuitable Hilbert space and illustrate the boundary value problem as a spectralproblem for this operator. We investigate the properties of the eigenvaluesand vector-valued eigenfunctions. We construct Green’s function.

【 授权许可】

Unknown