Fractional Dirac system with impulsive conditions

BP Allahverdiev, H Tuna, HA Isayev - Chaos, Solitons & Fractals, 2023 - Elsevier
In this article, fractional Dirac systems are considered under impulsive conditions and their
basic properties are investigated. In this context, the symmetry, eigenvalues, and …

Scattering analysis of a quantum impulsive boundary value problem with spectral parameter

Y Aygar, GG Özbey - Hacettepe Journal of Mathematics and …, 2022 - dergipark.org.tr
We are interested in scattering and spectral analysis of an impulsive boundary value
problem (IBVP) generated with a q-difference equation with eigenparameter in boundary …

Oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions via Prüfer transformation

Z Li, K Li, J Cai, J Qin, Z Zheng - Applied Mathematics-A Journal of …, 2024 - Springer
A class of Sturm-Liouville problems with discontinuity is studied in this paper. The oscillation
properties of eigenfunctions for Sturm-Liouville problems with interface conditions are …

An examination of boundary value transmission problem with quadratic spectral parameter

GB Oznur, Y Aygar, ND Aral - Quaestiones Mathematicae, 2023 - Taylor & Francis
The main purpose of this study is to examine the properties of scattering solutions and
scattering function of a difference equation subject to eigenparameterdependent boundary …

[PDF][PDF] Computation of the regularized Green's function for vibration transport in two-layered rods

S Faydaoglu, VG Yakhno - Journal of Modern Technology …, 2021 - jomardpublishing.com
The main topic of the article is the partial differential equation of the transverse oscillation in
composite materials. An approach for deriving the nonstationary Green's functions of the …

[PDF][PDF] Impulsive q-Sturm-Liouville problems

BP Allahverdiev, HA Isayev, H Tuna - Applicable Analysis and …, 2024 - doiserbia.nb.rs
In this study, impulsive q-Sturm-Liouville problems are considered. First, symmetry is
obtained with the help of boundary conditions. Then, the existence and uniqueness problem …

Existence results for impulsive dynamic singular nonlinear Sturm-Liouville equations on infinite intervals

BP ALLAHVERDİEV, H Tuna… - Turkish Journal of …, 2023 - journals.tubitak.gov.tr
Existence results for impulsive dynamic singular nonlinear Sturm-Liouville equations on
infinite intervals Page 1 Turkish Journal of Mathematics Volume 47 Number 6 Article 11 9-25-2023 …

Fractional Sturm-Liouville operators on compact star graphs

G Mutlu, E Uğurlu - Demonstratio Mathematica, 2024 - degruyter.com
In this article, we examine two problems: a fractional Sturm-Liouville boundary value
problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a …

Nonlinear impulsive Hahn—Sturm—Liouville problems on the whole line

БП оглы Аллахвердиев, Г Туна… - Вестник Санкт …, 2024 - applmathjournal.spbu.ru
Impulsive Hahn—Sturm—Liouville problems in singular cases are discussed. The existence
of solutions of such equations on the whole axis and in the case of Weyl's limit-circle has …

[PDF][PDF] The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators

BP Allahverdiev, H Tuna, HA Isayev - Annales Mathematicae …, 2024 - sciendo.com
THE RESOLVENT OF IMPULSIVE SINGULAR HAHN–STURM–LIOUVILLE OPERATORS
Bilender P. Allahverdiev, Hüseyin Tuna , Hamlet A. Isaye Page 1 Annales Mathematicae …