Department of Mathematics
Süleyman Demirel University
32260 Isparta, Turkey
email: bilenderpasaoglu@sdu.edu.tr
Department of Mathematics
Mehmet Akif Ersoy University
15030 Burdur, Turkey
email: hustuna@gmail.com
Bilender P. Allahverdiev, Huseyin Tuna
Abstract:
In this article, we investigate the resolvent operator of a singular
q-Dirac system. We obtain an integral representations for the resolvent
of this system, in terms of the spectral function.
Furthermore, we give a formula for the Titchmarsh-Weyl function of
q-Dirac system using the integral representation of the resolvent.
Submitted September 28, 2017. Published January 7, 2020.
Math Subject Classifications: 47A10, 33D15, 34L10, 39A13, 34L40, 34B20.
Key Words: q-Dirac operator; singular point; resolvent operator; spectral function;
Titchmarsh-Weyl function.
DOI: 10.58997/ejde.2020.03
Show me the PDF file (313 KB), TEX file for this article.
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Bilender P. Allahverdiev Department of Mathematics Süleyman Demirel University 32260 Isparta, Turkey email: bilenderpasaoglu@sdu.edu.tr |
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Hüseyin Tuna Department of Mathematics Mehmet Akif Ersoy University 15030 Burdur, Turkey email: hustuna@gmail.com |
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