Titchmarsh–Weyl theory for q-Dirac systems-Reference-Cited by-同舟云学术

Titchmarsh–Weyl theory for q-Dirac systems

Published:2019-06 Issue:02 Volume:22 Page:1950010
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Allahverdiev Bilender P.¹,Tuna Hüseyin²

Affiliation:

1. Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey

2. Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey

Abstract

In this work, we establish Titchmarsh–Weyl theory for singular [Formula: see text]-Dirac systems. Thus, we extend classical Titchmarsh–Weyl theory for Dirac systems to [Formula: see text]-analogue of this system. We show that it does not occur for the limit-circle case for the [Formula: see text]-Dirac system.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025719500103

Reference25 articles.

1. Linear q-Difference Equations

2. One-dimensional q -Dirac equation

3. Dissipative q-Dirac operator with general boundary conditions

4. Titchmarsh–Weyl Theory for Dirac Systems with Transmission Conditions

5. Asymptotic formulae for eigenvalues and eigenfunctions of q -Sturm-Liouville problems

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