Inverse spectral problem for the Hill operator on the graph with a loop

Rakib Feyruz Efendiev

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Inverse spectral problem for the Hill operator on the graph with a loop

R. F. Efendiev

2020-09-28

https://doi.org/10.24108/preprints-3112126

In this paper, we investigate a generalization of the classical a PT-symmetric Hill operator to lasso graph. The definition of the PT-symmetric Hill operator on lasso graph is given and derived its spectral properties. We solved the inverse problem, proved the uniqueness theorem and provided a constructive procedure for the solution of the inverse problem.

Ссылка для цитирования:

Efendiev R. F. 2020. Inverse spectral problem for the Hill operator on the graph with a loop. PREPRINTS.RU. https://doi.org/10.24108/preprints-3112126

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