Browsing by Author "Boyko, Olga"

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Access status: Open Access ,
Higher order Nevanlinna functions and the inverse three spectra problem
(2016) Boyko, Olga; Martinûk, Ol'ga Mikolaïvna; Pivovarčik, Vâčeslav
The three spectra problem of recovering the Sturm-Liouville equation by the spectrum of the Dirichlet-Dirichlet boundary value problem on $[0,a]$, the Dirichlet-Dirichlet problem on $[0,a/2]$ and the Neumann-Dirichlet problem on $[a/2,a]$ is considered. Sufficient conditions of solvability and of uniqueness of the solution to such a problem are found.
Access status: Open Access ,
On small vibrations of a damped Stieltjes string
(2015) Boyko, Olga; Pivovarchik, Vyacheslav
Inverse problem of recovering masses, coefficients of damping and lengths of the intervals between the masses using two spectra of boundary value problems and the total length of the Stieltjes string (an elastic thread bearing point masses) is considered. For the case of point-wise damping at the first counting from the right end mass the problem of recovering the masses, the damping coefficient and the lengths of the subintervals by one spectrum and the total length of the string is solved.