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Baki Keskin

Publications and source records attributed to Baki Keskin.

5 recordsLinked to original sources
arXiv2025

Inverse nodal problems for Dirac differential operators with jump condition

This paper deals with an inverse nodal problem for the Dirac differential operator with the discontinuity conditions inside the interval. We obtain a new approach for asymptotic expressions of the solutions and prove that the coefficients of the Dirac system can be determined uniquely by a dense subset of the nodal points (zeros of the first component of the eigenfunction). We also provide an algorithm for constructing the solution of this inverse nodal problem.

math.AP↗
arXiv2022

Inverse Nodal Problems for Dirac Type Integro Differential System with a Nonlocal Boundary Condition

In this work, the Dirac-type integro di§erential system with one classical boundary condition and another nonlocal integral boundary condition is considered. We obtain the asymptotic formulae for the solutions, eigenvalues and nodal points. We also investigate the inverse nodal problem and prove that given a dense subset of nodal points uniquely determines the boundary condition parameter and the potential function of the considered di§erential system. We also provide an e§ective procedure for solving the inverse nodal problem.

math.SP↗
arXiv2016

Inverse nodal problems for Dirac-type integro-differential operators

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 and integral part of the operator. We also provide a uniqueness theorem and an algorithm to reconstruct the coefficients of the problem by using the nodal points.

math.SP↗