Open AccessInverse Problems for Sturm-Liouville Differential Operators on Closed Sets
Author(s) -
V. A. Yurko
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.50.2019.3343
Subject(s) - mathematics , constructive , inverse , differential operator , uniqueness , sturm–liouville theory , inverse problem , differential (mechanical device) , mathematical analysis , order (exchange) , pure mathematics , boundary value problem , computer science , process (computing) , geometry , finance , engineering , economics , aerospace engineering , operating system
Second-order differential operators on closed sets (time scales) are considered. Properties of their spectral characteristics are obtained and inverse problems are studied, which consists in recovering the operators from their spectral characteristics. We establish the uniqueness and develop constructive algorithms for the solution of the inverse problems.