Open AccessAn inverse spectral problem for Sturm-Liouville operators with singular potentials on arbitrary compact graphs
Author(s) -
Sergey Vasiliev
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.50.2019.3356
Subject(s) - mathematics , sturm–liouville theory , uniqueness , constructive , class (philosophy) , singular solution , inverse , differential operator , inverse problem , pure mathematics , spectral theory of ordinary differential equations , mathematical analysis , finite rank operator , quasinormal operator , boundary value problem , geometry , process (computing) , artificial intelligence , computer science , banach space , operating system
Sturm-Liouville differential operators with singular potentials on arbitrary com- pact graphs are studied. The uniqueness of recovering operators from Weyl functions is proved and a constructive procedure for the solution of this class of inverse problems is provided.