Ahmet Sinan Ozkan
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Ahmet Sinan Ozkan has a total of 9 co-authors. Here are the top co-authors by number of shared publications:
- Baki Keskin
Department of Mathematics, Faculty of Science Sivas Cumhuriyet University Sivas Turkey
11 shared publications - İbRahim Adalar
Sivas Cumhuriyet University
5 shared publications R. Kh. Amirov
Cumhuriyet University
2 shared publications- Rauf Amirov
Sivas Cumhuriyet Üniversitesi
2 shared publications Y. Cakmak
Department of Mathematics, Faculty of Arts & Science, Cumhuriyet University, 58140 Sivas, Turkey
1 shared publication- Yalçın Güldü
Department of Mathematics, Faculty of Science Cumhuriyet University Sivas Turkey
1 shared publication
Latest Publications
- 23 April 2024
- Published by Hacettepe University in Hacettepe Journal of Mathematics and Statistics
- Vol. 53 (2) , 314-320
Reconstruction of the nonlocal Sturm-Liouville operator with boundary conditions depending on the parameter
In the present paper, we consider the Sturm–Liouville equation with nonlocal boundary conditions depending polynomially on the parameter. We obtain a result and give an algorithm for the reconstruction of the coefficients of the problem using asymptotics of the nodal points.
- 23 April 2024
- Published by Hacettepe University in Hacettepe Journal of Mathematics and Statistics
- Vol. 53 (2) , 314-320
Reconstruction of the nonlocal Sturm-Liouville operator with boundary conditions depending on the parameter
In the present paper, we consider the Sturm–Liouville equation with nonlocal boundary conditions depending polynomially on the parameter. We obtain a result and give an algorithm for the reconstruction of the coefficients of the problem using asymptotics of the nodal points.
- Open Access
- 30 September 2022
- Published by Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics in Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
- Vol. 71 (3) , 720-730
Eigenvalue problems for a class of Sturm-Liouville operators on two different time scales
In this study, we consider a boundary value problem generated by the Sturm-Liouville equation with a frozen argument and with non-separated boundary conditions on a time scale. Firstly, we present some solutions and the characteristic function of the problem on an arbitrary bounded time scale. Secondly, we prove some properties of eigenvalues and obtain a formulation for the eigenvalues-number on a finite time scale. Finally, we give an asymptotic formula for eigenvalues of the problem on another special time scale: $\mathbb{T}=[\alpha,\delta_{1}]\bigcup[\delta_{2},\beta].$- 30 September 2022
- Published by Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics in Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
- Vol. 71 (3) , 720-730
Open AccessEigenvalue problems for a class of Sturm-Liouville operators on two different time scales
In this study, we consider a boundary value problem generated by the Sturm-Liouville equation with a frozen argument and with non-separated boundary conditions on a time scale. Firstly, we present some solutions and the characteristic function of the problem on an arbitrary bounded time scale. Secondly, we prove some properties of eigenvalues and obtain a formulation for the eigenvalues-number on a finite time scale. Finally, we give an asymptotic formula for eigenvalues of the problem on another special time scale: $\mathbb{T}=[\alpha,\delta_{1}]\bigcup[\delta_{2},\beta].$ - 8 July 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 46 (1) , 986-993
Inverse nodal problem for Dirac operator with integral type nonlocal boundary conditions
- 8 July 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 46 (1) , 986-993
Inverse nodal problem for Dirac operator with integral type nonlocal boundary conditions
- 21 October 2020
- Published by Springer Nature in Analysis and Mathematical Physics
- Vol. 10 (4) , 1-10
An interior inverse Sturm–Liouville problem on a time scale
- 21 October 2020
- Published by Springer Nature in Analysis and Mathematical Physics
- Vol. 10 (4) , 1-10
An interior inverse Sturm–Liouville problem on a time scale
- 7 June 2020
- Published by Walter de Gruyter GmbH in Journal of Inverse and Ill-posed Problems
- Vol. 28 (6) , 775-782
Inverse problems for a conformable fractional Sturm–Liouville operator
In this paper, a Sturm–Liouville boundary value problem which includes conformable fractional derivatives of order α,is considered. We give some uniqueness theorems for the solutions of inverse problems according to the Weyl function, two given spectra and classical spectral data. We also study the half-inverse problem and prove a Hochstadt–Lieberman-type theorem. - 7 June 2020
- Published by Walter de Gruyter GmbH in Journal of Inverse and Ill-posed Problems
- Vol. 28 (6) , 775-782
Inverse problems for a conformable fractional Sturm–Liouville operator
In this paper, a Sturm–Liouville boundary value problem which includes conformable fractional derivatives of order α,is considered. We give some uniqueness theorems for the solutions of inverse problems according to the Weyl function, two given spectra and classical spectral data. We also study the half-inverse problem and prove a Hochstadt–Lieberman-type theorem. - 24 January 2020
- Published by IOP Publishing in Inverse Problems
- Vol. 36 (2) , 025015
Half-inverse Sturm–Liouville problem on a time scale*
In this paper, we consider a half-inverse Sturm–Liouville problem on a time scale which is the union of an interval and another time scale such as . We give a Hochstadt–Lieberman-type theorem for a Sturm–Liouville dynamic equation with Robin boundary conditions and investigate some special cases of this theorem.
- 24 January 2020
- Published by IOP Publishing in Inverse Problems
- Vol. 36 (2) , 025015
Half-inverse Sturm–Liouville problem on a time scale*
In this paper, we consider a half-inverse Sturm–Liouville problem on a time scale which is the union of an interval and another time scale such as . We give a Hochstadt–Lieberman-type theorem for a Sturm–Liouville dynamic equation with Robin boundary conditions and investigate some special cases of this theorem.
- 15 January 2020
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 43 (7) , 4353-4359
Boundary‐value problem for a class of second‐order parameter‐dependent dynamic equations on a time scale
- 15 January 2020
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 43 (7) , 4353-4359
Boundary‐value problem for a class of second‐order parameter‐dependent dynamic equations on a time scale
- Open Access
- 24 December 2018
- Published by Cumhuriyet University in Cumhuriyet Science Journal
- Vol. 39 (4) , 864-870
Parameter-Dependent Dirac Systems on Time Scales
In this study, we consider two generalized Dirac systems on a time scale and a boundary-value problem with boundary conditions depending on the spectral parameter. We give some sufficient conditions for disconjugacy of the systems and obtain a formula about the number of eigenvalues of the problem.
- 24 December 2018
- Published by Cumhuriyet University in Cumhuriyet Science Journal
- Vol. 39 (4) , 864-870
Open AccessParameter-Dependent Dirac Systems on Time Scales
In this study, we consider two generalized Dirac systems on a time scale and a boundary-value problem with boundary conditions depending on the spectral parameter. We give some sufficient conditions for disconjugacy of the systems and obtain a formula about the number of eigenvalues of the problem.
- 21 March 2018
- Published by Walter de Gruyter GmbH in Journal of Inverse and Ill-posed Problems
- Vol. 26 (5) , 633-637
Ambarzumyan-type theorems on a time scale
In this paper, we give Ambarzumyan-type theorems for a Sturm–Liouville dynamic equation with Robin boundary conditions on a time scale. Under certain conditions, we prove that the potential can be specified from only the first eigenvalue.
- 21 March 2018
- Published by Walter de Gruyter GmbH in Journal of Inverse and Ill-posed Problems
- Vol. 26 (5) , 633-637
Ambarzumyan-type theorems on a time scale
In this paper, we give Ambarzumyan-type theorems for a Sturm–Liouville dynamic equation with Robin boundary conditions on a time scale. Under certain conditions, we prove that the potential can be specified from only the first eigenvalue.
- 1 December 2017
- Published by Elsevier in Journal of Differential Equations
- Vol. 263 (12) , 8838-8847
Inverse nodal problems for Dirac-type integro-differential operators
- 1 December 2017
- Published by Elsevier in Journal of Differential Equations
- Vol. 263 (12) , 8838-8847
Inverse nodal problems for Dirac-type integro-differential operators