Boundary values for an eigenvalue problem with a singular potential

Münevver Tuz

Abstract


In this paper we consider the inverse spectral problem on the interval [0,1]. This determines the three-dimensional Schrödinger equation with from singular symmetric potential. We show that the two spectrums uniquely identify the potential function q(r) in a single Sturm-Liouville equation, and we obtain new evidence for the difference in the q(r)-q(r)of the Hochstadt theorem.


Keywords


Spectrum, invers problem, eigenvalue, second-order differential equation.

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References


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DOI: http://dx.doi.org/10.11121/ijocta.01.2017.00507

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