Electron. J. Differential Equations, Vol. 2020 (2020), No. 03, pp. 1-13.

Properties of the resolvent of singular q-Dirac operators

Bilender P. Allahverdiev, Huseyin Tuna

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.

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Bilender P. Allahverdiev
Department of Mathematics
Süleyman Demirel University
32260 Isparta, Turkey
email: bilenderpasaoglu@sdu.edu.tr
Hüseyin Tuna
Department of Mathematics
Mehmet Akif Ersoy University
15030 Burdur, Turkey
email: hustuna@gmail.com

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