Browsing by Author "Ozkan, A. Sinan"
Now showing items 1-7 of 7
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Half-inverse Sturm-Liouville problem with boundary and discontinuity conditions dependent on the spectral parameter
Ozkan, A. Sinan (TAYLOR & FRANCIS LTD, 2014)In this article, an impulsive Sturm-Liouville boundary value problem with the eigenvalue parameter rationally contained in one-boundary condition and linearly contained in the jump conditions is considered. It is proven ... -
INVERSE NODAL PROBLEM FOR A STURM-LIOUVILLE OPERATOR WITH DISCONTINUOUS COEFFICIENT
Ozkan, A. Sinan (ANKARA UNIV, FAC SCI, 2017)Inverse nodal problem for Sturm-Liouville equation with discontinuity coefficient is studied. A uniqueness theorem and an algorithm for recovering the coefficients of the problem from a known sequence related to the nodal ... -
Inverse nodal problems for Dirac-type integro-differential operators
Keskin, Bald; Ozkan, A. Sinan (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017)The inverse nodal problem for Dirac differential operator perturbated by a Volterra integral operator is studied. We prove that dense subset of the nodal points determines the coefficients of differential part and gives ... -
Inverse nodal problems for Sturm-Liouville equation with eigenparameter-dependent boundary and jump conditions
Ozkan, A. Sinan; Keskin, Baki (TAYLOR & FRANCIS LTD, 2015)In this work, the Sturm-Liouville problem with boundary and jump conditions dependent on the spectral parameter linearly is studied. We show that all coefficients of the problem can be uniquely determined by nodal points. ... -
Inverse Sturm-Liouville problems with eigenvalue-dependent boundary and discontinuity conditions
Ozkan, A. Sinan (TAYLOR & FRANCIS LTD, 2012)An impulsive boundary-value problem generated by Sturm-Liouville differential equation with the eigenvalue parameter non-linearly contained in one boundary condition and in the jump conditions is considered. It is shown ... -
STURM-LIOUVILLE OPERATOR WITH PARAMETER-DEPENDENT BOUNDARY CONDITIONS ON TIME SCALES
Ozkan, A. Sinan (TEXAS STATE UNIV, 2017)In this study, we consider a boundary-value problem generated by a Sturm-Liouville dynamic equation on a time scale with boundary conditions depending on a spectral parameter. We introduce the operator formulation of the ... -
UNIQUENESS OF THE SOLUTION OF HALF INVERSE PROBLEM FOR THE IMPULSIVE STURM LIOUVILLE OPERATOR
Ozkan, A. Sinan; Keskin, Baki; Cakmak, Yasar (KOREAN MATHEMATICAL SOC, 2013)The half-inverse spectral problem for an impulsive Sturm-Liouville operator consists in reconstruction of this operator from its spectrum and half of the potential. In this study, the spectrum of the impulsive Sturm-Liouville ...