An Article by a Professor of the Mathematics Department Published in “Filomat” Journal

NEWS

01 May, 2025The Anniversary of “Dunya” School Celebrated with Grandeur

30 April, 2025Prof. Acad. Hamlet Isakhanli at the Event Dedicated to the 95th Anniversary of Academic Faramez Magsudov

13 May, 2025Joint Article by Professors of Mathematics Department Published In "Annales Mathematicae Silesianae" Journal

13 May, 2025Panel on "Chingiz Aitmatov, the Sage of the Steppe" within "Anatolian School Writer Readings"

13 May, 2025Mathematics Department Professor's Article in "Fractal and Fractional" Journal

11 May, 2025Students Visit Gobustan State Historical-Artistic Reserve

08 May, 2025Delegation from Federal University of Islamabad (FUI), Islamic Republic of Pakistan at Khazar University

08 May, 2025Seminar on Data Analytics

07 May, 2025Department Head Discusses Pakistan-India Relations on “Hadaf” Program

07 May, 2025Article by Head of Department in Journal "Kriter"

An Article by a Professor of the Mathematics Department Published in “Filomat” Journal

An article by Professor Bilender Allahverdiyev of the Mathematics Department of Khazar University, titled "Non-self-adjoint singular matrix Sturm-Liouville operators with general boundary conditions," has been published in Filomat (2024, Volume 38, No. 30). It should be noted that Filomat journal is indexed in the Web of Science and Scopus databases.

In the Hilbert space the maximal dissipative singular matrix-valued Sturm–Liouville operators that the extensions of a minimal symmetric operator with maximal deficiency indices are studied. The maximal dissipative operators with general boundary conditions are investigated. A self-adjoint dilation is constructed for dissipative operator and its incoming and outgoing spectral representations, which make it possible to determine the scattering matrix of the dilation. We also construct a functional model of the dissipative operator and determine its characteristic function in terms of the scattering matrix of the dilation. Moreover a theorem on completeness of the system of eigenvectors and associated vectors of the dissipative operators proved.

Link to the article: https://www.pmf.ni.ac.rs/filomat-content/2024/38-30/FILOMAT%2038-30.html

https://journal.pmf.ni.ac.rs/filomat/index.php/filomat