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Öğe Inverse nodal problem for Dirac operator with integral type nonlocal boundary conditions(29/01/2023) Ozkan, A.Sinan; Adalar, İbrahimIn 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 algorithm for the reconstruction of some coefficients of the operator.Öğe Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions(09/02/2023) Adalar, İbrahim; Ozkan, A.SinanIn 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 points. Moreover, we give an algorithm for the reconstruction of the potential function and some other coefficients in the boundary conditions.Öğe Determination of a differential pencil from interior spectral data on a union of two closed intervals(09/02/2022) Adalar, İbrahimIn 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.Öğe Spectral Problems for Sturm–Liouville Operator with Eigenparameter Boundary Conditions on Time Scales(09/09/2022) Adalar, İbrahimIn 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.Öğe Hochstadt-Lieberman Type Theorems for a Diffusion Operator on a Time Scale(30/03/2022) Adalar, İbrahimIn 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 theorem for this problem and some appropriate examples.
