Sigortacılık ve Risk Yönetimi Bölümühttps://hdl.handle.net/20.500.12418/7942024-03-28T16:16:17Z2024-03-28T16:16:17ZInverse nodal problem for Dirac operator with integral type nonlocal boundary conditionsOzkan, A.SinanAdalar, İbrahimhttps://hdl.handle.net/20.500.12418/143102024-02-26T21:47:38Z0029-01-01T00:00:00ZInverse nodal problem for Dirac operator with integral type nonlocal boundary conditions
Ozkan, A.Sinan; Adalar, İbrahim
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 algorithm for
the reconstruction of some coefficients of the operator.
0029-01-01T00:00:00ZInverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditionsAdalar, İbrahimOzkan, A.Sinanhttps://hdl.handle.net/20.500.12418/143092024-02-26T21:47:39Z0009-01-01T00:00:00ZInverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions
Adalar, İbrahim; Ozkan, A.Sinan
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 points. Moreover, we give an algorithm for the reconstruction of the potential function and some other coefficients in the boundary conditions.
0009-01-01T00:00:00ZDetermination of a differential pencil from interior spectral data on a union of two closed intervalsAdalar, İbrahimhttps://hdl.handle.net/20.500.12418/137872023-06-20T21:47:34Z0009-01-01T00:00:00ZDetermination of a differential pencil from interior spectral data on a union of two closed intervals
Adalar, İbrahim
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.
0009-01-01T00:00:00ZSpectral Problems for Sturm–Liouville Operator with Eigenparameter Boundary Conditions on Time ScalesAdalar, İbrahimhttps://hdl.handle.net/20.500.12418/137862023-06-20T21:47:34Z0009-01-01T00:00:00ZSpectral Problems for Sturm–Liouville Operator with Eigenparameter Boundary Conditions on Time Scales
Adalar, İbrahim
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.
0009-01-01T00:00:00Z