Inverse Nodal Problem for Dirac System with Spectral Parameter in Boundary Conditions

2011 ◽  
Vol 7 (4) ◽  
pp. 1211-1230 ◽  
Author(s):  
Chuan Fu Yang ◽  
Vyacheslav N. Pivovarchik
Keyword(s):  
Boundary Conditions ◽  
Spectral Parameter ◽  
Dirac System ◽  
Inverse Nodal Problem ◽  
Nodal Problem

scholarly journals Computation of Spectral Parameter of Discontinuous Dirac Systems with a Gaussian Multiplier

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Mohammed M. Tharwat ◽  
Mohammed A. Alghamdi
Keyword(s):  
Boundary Conditions ◽  
Spectral Parameter ◽  
Worked Examples ◽  
New Technique ◽  
Dirac System ◽  
Sinc Method ◽  
Dirac Systems

We aim in this paper to apply a sinc-Gaussian technique to compute the eigenvalues of a Dirac system which has a discontinuity at one point and contains a spectral parameter in all boundary conditions. We establish the needed properties of eigenvalues of our problem. The error of this method decays exponentially in terms of the number of involved samples. Therefore the accuracy of the new technique is higher than the classical sinc-method. Numerical worked examples with tables and illustrative figures are given at the end of the paper.

Inverse nodal problem forp-laplacian dirac system

2016 ◽  
Vol 40 (7) ◽  
pp. 2329-2335 ◽  
Author(s):  
Tuba Gulsen ◽  
Emrah Yilmaz ◽  
Hikmet Koyunbakan
Keyword(s):  
Dirac System ◽  
Inverse Nodal Problem ◽  
Nodal Problem

scholarly journals On Inverse Nodal Problem and Multiplicities of Eigenvalues of a Vectorial Sturm-Liouville Problem

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Xiaoyun Liu
Keyword(s):  
Boundary Conditions ◽  
Infinite Sequence ◽  
Liouville Problem ◽  
Unitary Matrix ◽  
Multiplicity Results ◽  
Inverse Nodal Problem ◽  
Potential Matrix ◽  
Sturm Liouville ◽  
Nodal Problem ◽  
Vectorial Functions

An m-dimensional vectorial inverse nodal Sturm-Liouville problem with eigenparameter-dependent boundary conditions is studied. We show that if there exists an infinite sequence ynj,rx,λnj,r2j=1∞ of eigenfunctions which are all vectorial functions of type (CZ), then the potential matrix Qx and A are simultaneously diagonalizable by the same unitary matrix U. Subsequently, some multiplicity results of eigenvalues are obtained.

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