Properties of the resolvent of singular q-Dirac operators
Date
2020-01-07
Authors
Allahverdiev, Bilender P.
Tuna, Huseyin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
q-Dirac operator, Singular point, Resolvent operator, Spectral function, Titchmarsh-Weyl function
Citation
Allahverdiev, B. P., & Tuna, H. (2020). Properties of the resolvent of singular q-Dirac operators. <i>Electronic Journal of Differential Equations, 2020</i>(03), pp. 1-13.
Rights
Attribution 4.0 International