scholarly journals Half-Inverse Problem For Dirac Operator With Boundary And Transmission Conditions Dependent Parameter Polynomially

2019 ◽  
Vol 40 (4) ◽  
pp. 902-908
Author(s):  
YALÇIN GÜLDÜ ◽  
Merve Arslantaş
Keyword(s):  
Inverse Problem ◽  
Dirac Operator ◽  
Transmission Conditions ◽  
Half Inverse Problem ◽  
Dependent Parameter

Half-inverse problem for the Dirac operator

2019 ◽  
Vol 87 ◽  
pp. 172-178 ◽  
Author(s):  
Chuan-Fu Yang ◽  
Dai-Quan Liu
Keyword(s):  
Inverse Problem ◽  
Dirac Operator ◽  
Half Inverse Problem

scholarly journals A Half-Inverse Problem for Impulsive Dirac Operator with Discontinuous Coefficient

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Yalçın Güldü
Keyword(s):  
Inverse Problem ◽  
Dirac Operator ◽  
Potential Function ◽  
Differential Operators ◽  
Discontinuous Coefficient ◽  
Single Spectrum ◽  
Half Inverse Problem ◽  
Discontinuity Conditions

An inverse problem for Dirac differential operators with discontinuity conditions and discontinuous coefficient is studied. It is shown by Hochstadt and Lieberman's method that if the potential function in is prescribed over the interval , then a single spectrum suffices to determine on the interval and it is also shown here that is uniquely determined by a spectrum.

scholarly journals An interior inverse problem for the impulsive Dirac operator

2011 ◽  
Vol 42 (3) ◽  
pp. 259-263 ◽  
Author(s):  
Sinan Özkan ◽  
Rauf Kh. Amirov
Keyword(s):  
Inverse Problem ◽  
Dirac Operator ◽  
Potential Function ◽  
Differential Operators ◽  
Internal Point

In this study, an inverse problem for Dirac differential operators with discontinuities is studied. It is shown that the potential function can be uniquely determined by a set of values of eigenfunctions at some internal point and one spectrum.

Half inverse problem for operators with singular potential

2007 ◽  
Vol 18 (10) ◽  
pp. 765-770 ◽  
Author(s):  
Hikmet Koyunbakan ◽  
Etibar S. Panakhov
Keyword(s):  
Inverse Problem ◽  
Singular Potential ◽  
Half Inverse Problem

scholarly journals Inverse problems for a conformable fractional Sturm–Liouville operator

2020 ◽  
Vol 28 (6) ◽  
pp. 775-782
Author(s):  
İbrahi̇m Adalar ◽  
Ahmet Sinan Ozkan
Keyword(s):  
Inverse Problem ◽  
Inverse Problems ◽  
Boundary Value Problem ◽  
Fractional Derivatives ◽  
Type Theorem ◽  
Weyl Function ◽  
Uniqueness Theorems ◽  
Half Inverse Problem ◽  
Sturm Liouville ◽  
Derivatives Of

AbstractIn this paper, a Sturm–Liouville boundary value problem which includes conformable fractional derivatives of order α, {0<\alpha\leq 1} is considered. We give some uniqueness theorems for the solutions of inverse problems according to the Weyl function, two given spectra and classical spectral data. We also study the half-inverse problem and prove a Hochstadt–Lieberman-type theorem.

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