The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators

In this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.

Saved in:
Bibliographic Details
Main Authors: Allahverdiev Bilender P., Tuna Hüseyin, Isayev Hamlet A.
Format: Article
Language:English
Published: Sciendo 2024-01-01
Series:Annales Mathematicae Silesianae
Subjects:
Online Access:https://doi.org/10.2478/amsil-2024-0001
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850172287052939264
author Allahverdiev Bilender P.
Tuna Hüseyin
Isayev Hamlet A.
author_facet Allahverdiev Bilender P.
Tuna Hüseyin
Isayev Hamlet A.
author_sort Allahverdiev Bilender P.
collection DOAJ
description In this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.
format Article
id doaj-art-13c9b154430f417aba052d29b6d67181
institution OA Journals
issn 2391-4238
language English
publishDate 2024-01-01
publisher Sciendo
record_format Article
series Annales Mathematicae Silesianae
spelling doaj-art-13c9b154430f417aba052d29b6d671812025-08-20T02:20:07ZengSciendoAnnales Mathematicae Silesianae2391-42382024-01-01391234110.2478/amsil-2024-0001The Resolvent of Impulsive Singular Hahn–Sturm–Liouville OperatorsAllahverdiev Bilender P.0Tuna Hüseyin1Isayev Hamlet A.2Department of Mathematics, Khazar University, AZ1096Baku, Azerbaijan; Research Center of Econophysics, UNEC-Azerbaijan State University of Economics, Baku, AzerbaijanDepartment of Mathematics, Mehmet Akif Ersoy University, 15030Burdur, Turkey; Research Center of Econophysics, UNEC-Azerbaijan State University of Economics, Baku, AzerbaijanDepartment of Mathematics, Khazar University, AZ1096Baku, AzerbaijanIn this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.https://doi.org/10.2478/amsil-2024-000139a1334a3747a10hahn difference equationsdifference equations with impulsesspectral functionresolvent operator
spellingShingle Allahverdiev Bilender P.
Tuna Hüseyin
Isayev Hamlet A.
The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators
Annales Mathematicae Silesianae
39a13
34a37
47a10
hahn difference equations
difference equations with impulses
spectral function
resolvent operator
title The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators
title_full The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators
title_fullStr The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators
title_full_unstemmed The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators
title_short The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators
title_sort resolvent of impulsive singular hahn sturm liouville operators
topic 39a13
34a37
47a10
hahn difference equations
difference equations with impulses
spectral function
resolvent operator
url https://doi.org/10.2478/amsil-2024-0001
work_keys_str_mv AT allahverdievbilenderp theresolventofimpulsivesingularhahnsturmliouvilleoperators
AT tunahuseyin theresolventofimpulsivesingularhahnsturmliouvilleoperators
AT isayevhamleta theresolventofimpulsivesingularhahnsturmliouvilleoperators
AT allahverdievbilenderp resolventofimpulsivesingularhahnsturmliouvilleoperators
AT tunahuseyin resolventofimpulsivesingularhahnsturmliouvilleoperators
AT isayevhamleta resolventofimpulsivesingularhahnsturmliouvilleoperators