Open AccessAn inverse spectral problem for differential operators with integral delay
Author(s) -
Yulia Vladimirovna Kuryshova
Publication year - 2011
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.42.2011.743
Subject(s) - mathematics , convolution (computer science) , differential operator , interval (graph theory) , operator (biology) , inverse , fourier integral operator , uniqueness , spectral theorem , order (exchange) , operator theory , microlocal analysis , pure mathematics , mathematical analysis , combinatorics , biochemistry , chemistry , geometry , finance , repressor , machine learning , artificial neural network , computer science , transcription factor , economics , gene
The uniqueness theorem is proved for the solution of the inverse spec- tral problem for second-order integro-di®erential operators on a ¯nite interval. These operators are perturbations of the Sturm-Liouville operator with convolution and one- dimensional operators. The main tool is an integral transform connected with solutions of integro-di®erential operators