scholarly journals A canonical model of the one-dimensional dynamical Dirac system with boundary control

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Mikhail I. Belishev ◽  
◽  
Sergey A. Simonov ◽  
Keyword(s):  
Boundary Control ◽  
Canonical Model ◽  
Dirac System ◽  
One Dimensional ◽  
The One

scholarly journals Spectral analysis of Hahn-Dirac system

2021 ◽  
Author(s):  
Bilender Allahverdiev ◽  
Hüseyin Tuna
Keyword(s):  
Spectral Analysis ◽  
Boundary Value Problem ◽  
Spectral Properties ◽  
Orthonormal Basis ◽  
Boundary Value ◽  
Dirac System ◽  
One Dimensional ◽  
Countable Sequence ◽  
Greens Function ◽  
The One

In this paper, we study some spectral properties of the one-dimensional Hahn-Dirac boundary-value problem, such as formally self-adjointness, the case that the eigenvalues are real, orthogonality of eigenfunctions, Greens function, the existence of a countable sequence of eigenvalues, eigenfunctions forming an orthonormal basis of L2w,q ((w0. a): E).

scholarly journals Direct and inverse spectral problems for Dirac systems with nonlocal potentials

2019 ◽  
Vol 39 (5) ◽  
pp. 645-673
Author(s):  
Kamila Dębowska ◽  
Leonid P. Nizhnik
Keyword(s):  
Characteristic Function ◽  
Dirac System ◽  
Inverse Spectral Problems ◽  
One Dimensional ◽  
Spectral Problems ◽  
Dirac Systems ◽  
Inverse Spectral ◽  
The One ◽  
The Given ◽  
Nonlocal Potentials

The main purposes of this paper are to study the direct and inverse spectral problems of the one-dimensional Dirac operators with nonlocal potentials. Based on informations about the spectrum of the operator, we find the potential and recover the form of the Dirac system. The methods used allow us to reduce the situation to the one-dimensional case. In accordance with the given assumptions and conditions we consider problems in a specific way. We describe the spectrum, the resolvent, the characteristic function etc. Illustrative examples are also given.

Convergence Acceleration of Eigenfunction Expansions of the One-Dimensional Dirac System

2007 ◽  
Author(s):  
R. Barkhudaryan ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Convergence Acceleration ◽  
Dirac System ◽  
Eigenfunction Expansions ◽  
One Dimensional ◽  
The One

Boundary control of the one-dimensional wave equation

1971 ◽  
Vol 59 (2) ◽  
pp. 291-292
Author(s):  
J.J. Grainger ◽  
D.W. Novotny
Keyword(s):  
Wave Equation ◽  
Boundary Control ◽  
One Dimensional ◽  
The One ◽  
Dimensional Wave
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