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math-ph2023★ 1 cited
Recovering the shape of a quantum caterpillar tree by two spectra
Dmytro Kaliuzhnyi-Verbovetskyi, Vyacheslav Pivovarchik
We show how to find the shape of an equilateral caterpillar tree using the spectra of the Neumann and the Dirichlet problems generated by the Sturm-Liouville equation on this tree.…
math-ph2018
On spectra of quadratic operator pencils with rank one gyroscopic linear part
Olga Boyko, Olga Martynyuk, Vyacheslav Pivovarchik
The spectrum of a selfadjoint quadratic operator pencil of the form is investigated where , are bounded operators and is selfadjoint bounded belo…