2 papers
math-ph2022
On recovering the shape of a quantum tree from the spectrum of the Dirichlet boundary problem
Olga Boyko, Olga Martynyuk, Vyacheslav Pivovarchik
Spectral problems are considered generated by the Sturm-Liouville equation on equilateral trees with the Dirichlet boundary conditions at the pendant vertices and continuity and Ki…
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…