Boundary values for an eigenvalue problem with a singular potential | Zendy

Münevver Tuz | Zendy

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Boundary values for an eigenvalue problem with a singular potential

Author(s) -

Münevver Tuz

Publication year - 2017

Publication title -

an international journal of optimization and control theories and applications (ijocta)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 6

eISSN - 2146-5703

pISSN - 2146-0957

DOI - 10.11121/ijocta.01.2017.00507

Subject(s) - eigenvalues and eigenvectors , mathematics , sturm–liouville theory , interval (graph theory) , mathematical analysis , boundary value problem , function (biology) , inverse , boundary (topology) , schrödinger equation , inverse problem , mathematical physics , physics , combinatorics , quantum mechanics , geometry , evolutionary biology , biology

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.

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