1 citations · 1 across the 3 of their papers we have counts for
4 papers
Sturm-Liouville problems on graphs with Robin boundary conditions
Yuri Latushkin, Vyacheslav Pivovarchik, Alesia Supranovych
We study characteristic functions and describe asymptotics of the eigenvalues for the spectral Sturm-Liouville problem on graphs equipped with Robin-Kirhhoff boundary conditions. A…
Recovering the shape of a quantum tree by scattering data
Olga Boyko, Yuri Latushkin, Vyacheslav Pivovarchik
We consider a scattering problem generated by the Sturm-Liouville equation on a tree which consists of an equilateral compact subtree and a half-infinite lead attached to its root.…
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.…
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…