Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 03, pp. 1-13.

Title: Properties of the resolvent of singular q-Dirac operators

Authors: Bilender P. Allahverdiev (Suleyman Demirel Univ., Isparta, Turkey)
         Huseyin Tuna (Mehmet Akif Ersoy Univ., Burdur, Turkey)

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 07, 2020.
Math Subject Classifications: 47A10, 33D15, 34L10, 39A13, 34L40, 34B20.
Key Words: q-Dirac operator; singular point; resolvent operator; spectral function;
           Titchmarsh-Weyl function.