Browsing by Author "Ozkan, A. S."
Now showing items 1-8 of 8
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Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
Amirov, R. Kh.; Keskin, B.; Ozkan, A. S. (SPRINGER, 2009)We investigate a problem for the Dirac differential operators in the case where an eigenparameter not only appears in the differential equation but is also linearly contained in a boundary condition. We prove uniqueness ... -
Discontinuous Sturm-Liouville Problems with Eigenvalue Dependent Boundary Condition
Amirov, R. Kh.; Ozkan, A. S. (SPRINGER, 2014)In this study, an inverse problem for Sturm-Liouville differential operators with discontinuities is studied when an eigenparameter appears not only in the differential equation but it also appears in the boundary condition. ... -
Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent Conditions
Ozkan, A. S.; Keskin, B.; Cakmak, Y. (HINDAWI PUBLISHING CORPORATION, 2013)The purpose of this paper is to solve the inverse spectral problems for Sturm-Liouville operator with boundary conditions depending on spectral parameter and double discontinuities inside the interval. It is proven that ... -
Inverse problems for impulsive Sturm-Liouville operator with spectral parameter linearly contained in boundary conditions
Amirov, R. Kh.; Ozkan, A. S.; Keskin, B. (TAYLOR & FRANCIS LTD, 2009)In this work, the Sturm-Liouville problem, with discontinuities in the case when an eigenparameter appears not only in the differential equation but also in one of the boundary conditions, is studied. The spectrum and the ... -
Inverse spectral problems for Dirac operator with eigenvalue dependent boundary and jump conditions
Keskin, B.; Ozkan, A. S. (SPRINGER, 2011)We deal with the Dirac operator with eigenvalue dependent boundary and jump conditions. Properties of eigenvalues, eigenfunctions and the resolvent operator are studied. Moreover, uniqueness theorems of the inverse problem ... -
Spectral problem for a discontinuous integro-differential operator
Keskin, B.; Ozkan, A. S. (SPRINGER, 2012)A representation of solutions of a discontinuous integro-differential operator is obtained. The asymptotic behavior of the eigenvalues and eigenfunctions of this operator is described. -
Spectral problems for Sturm-Liouville operator with boundary and jump conditions linearly dependent on the eigenparameter
Ozkan, A. S.; Keskin, B. (TAYLOR & FRANCIS LTD, 2012)In this study, a boundary-value problem is considered, which is generated by Sturm-Liouville differential equation, parameter-dependent boundary conditions and discontinuity (or jump) conditions. The properties of the ... -
Uniqueness theorems for an impulsive Sturm-Liouville boundary value problem
Ozkan, A. S.; Keskin, B. (ZHEJIANG UNIV, EDITORIAL COMMITTEE APPLIED MATHEMATICS, 2012)In this study, an impulsive boundary value problem, generated by Sturm-Liouville differential equation with the eigenvalue parameter contained in one boundary condition is considered. It is shown that the coefficients of ...