1 citations · 1 across the 4 of their papers we have counts for
4 papers
Recovering the shape of a quantum tree by scattering data
Vyacheslav Pivovarchik
We consider a scattering problem generated by the Sturm-Liouville equation on a tree which consists of a equilateral compact subtree with a lead (a half-infinite edge) attached to…
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…
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…
On a generalization of the three spectral inverse problem
O. P. Boyko, O. M. Martynyuk, V. N. Pivovarchik
We consider a generalization of the three spectral inverse problem, that is, for given spectrum of the Dirichlet-Dirichlet problem (the Sturm-Liouville problem with Dirichlet condi…