Open AccessInverse problem for Sturm-Liouville operators on a curve
Author(s) -
A. A. Golubkov,
Yulia Vladimirovna Kuryshova
Publication year - 2019
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.50.2019.3368
Subject(s) - mathematics , sturm–liouville theory , uniqueness , piecewise , discontinuity (linguistics) , mathematical analysis , inverse , matrix (chemical analysis) , function (biology) , inverse problem , boundary value problem , geometry , materials science , evolutionary biology , composite material , biology
he inverse spectral problem for the Sturm-Liouville equation with a piecewise-entire potential function and the discontinuity conditions for solutions on a rectifiable curve \(\gamma \subset \textbf{C}\) by the transfer matrix along this curve is studied. By the method of a unit transfer matrix the uniqueness of the solution to this problem is proved with the help of studying of the asymptotic behavior of the solutions to the Sturm-Liouville equation for large values of the spectral parameter module.