Published January 1, 2022 | Version v1
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A q-DIRAC BOUNDARY VALUE PROBLEM WITH EIGENPARAMETER-DEPENDENT BOUNDARY CONDITIONS

  • 1. Missouri Univ Sci & Technol, Rolla, MO 65409 USA
  • 2. Mersin Univ, Dept Math, TR-33343 Mersin, Turkey

Description

We study a boundary value problem for the q-Dirac equation and eigenvalue-dependent 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.

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