Solution of a model inverse spectral problem for the Sturm–Liouville operator on a graph
N. F. Valeeva, Yu. V. Martynovab, Ya. T. Sultanaevc
a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
b RN-UfaNIPIneft Company
c Bashkir State Pedagogical University, Ufa
A model inverse spectral problem for the Sturm–Liouville operator on a geometric graph is studied. This problem consists in finding $N$ parameters of the boundary conditions using its $N$ known eigenvalues. It is shown that the problem under consideration possess the property of a monotonic dependence of its eigenvalues on the parameters of the boundary conditions. This problem is reduced to a multiparameter inverse spectral problem for the operator in a finite-dimensional space. A new algorithm for the numerical solution of this problem is proposed.
spectral theory of differential operators, geometric graph, Sturm–Liouville operator, spectral problems.
PDF file (191 kB)
N. F. Valeev, Yu. V. Martynova, Ya. T. Sultanaev, “Solution of a model inverse spectral problem for the Sturm–Liouville operator on a graph”, Vychisl. Metody Programm., 17:3 (2016), 204–211
Citation in format AMSBIB
\by N.~F.~Valeev, Yu.~V.~Martynova, Ya.~T.~Sultanaev
\paper Solution of a model inverse spectral problem for the Sturm--Liouville operator on a graph
\jour Vychisl. Metody Programm.
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|