Browsing by Author "Adalar, İbrahim"
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Determination of a differential pencil from interior spectral data on a union of two closed intervals
Adalar, İbrahim (09/02/2022)In this paper, we consider a quadratic pencil of Sturm–Liouville operator on closed sets. We study an interior-inverse problem for this kind operator and give a uniqueness theorem with an appropriate example. -
Hochstadt-Lieberman Type Theorems for a Diffusion Operator on a Time Scale
Adalar, İbrahim (30/03/2022)In this paper, we consider a half inverse problem for a diffusion operator on a time scale which is the union of an interval and another arbitrary time scale such as T =[0; a1] [ T1. We give a Hochstadt-Lieberman type ... -
Inverse nodal problem for Dirac operator with integral type nonlocal boundary conditions
Ozkan, A.Sinan; Adalar, İbrahim (29/01/2023)In this paper, Dirac operator with some integral type nonlocal boundary conditions is studied. We show that the coefficients of the problem can be uniquely determined by a dense set of nodal points. Moreover, we give an ... -
Inverse nodal problem for Dirac operator with integral type nonlocal boundary conditions
Özkan, A.Sinan; Adalar, İbrahim (2023)In this paper, Dirac operator with some integral type nonlocal boundary conditions is studied. We show that the coefficients of the problem can be uniquely determined by a dense set of nodal points. Moreover, we give an ... -
Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions
Adalar, İbrahim; Ozkan, A.Sinan (09/02/2023)In this paper, a Sturm–Liouville problem with some nonlocal boundary conditions of the Bitsadze-Samarskii type is studied. We show that the coefficients of the problem can be uniquely determined by a dense set of nodal ... -
Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions
Özkan, A.Sinan; Adalar, İbrahim (Elsevier, 1.4.2023)In this paper, a Sturm–Liouville problem with some nonlocal boundary conditions of the Bitsadze-Samarskii type is studied. We show that the coefficients of the problem can be uniquely determined by a dense set of nodal ... -
Spectral Problems for Sturm–Liouville Operator with Eigenparameter Boundary Conditions on Time Scales
Adalar, İbrahim (09/09/2022)In this paper, we consider the inverse problem for Sturm-Liouville operators with eigenparameter dependent boundary conditions on time scales. We give new uniqueness theorems and investigate its some special cases.