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

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