Direct and inverse problems for a periodic problem with non-local potential

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:270

Article

Zolotarev, V. A.^1,2 

[1] Natl Acad Sci Ukraine, B Verkin Inst Low Temp Phys & Engn, 47 Nauky Ave, UA-61103 Kharkiv, Ukraine

[2] Kharkov Natl Univ, Dept Higher Math & Informat, 4 Svobody Sq, UA-61077 Kharkov, Ukraine

关键词: Non-local potential;    Direct problem;    Inverse problem;    Periodic boundary problem;   

DOI  :  10.1016/j.jde.2020.06.063

来源: Elsevier

【 摘 要 】

Sum of a second derivative operator with periodic boundary conditions and an integral operator of rank one (non-local potential) is studied in this manuscript. Not only spectral analysis is conducted for this operator but the inverse problem is solved, viz., a method of the reconstruction of non-local potential by the spectral data is presented. Class of spectral data that give the solution to the inverse problem is described. (C) 2020 Published by Elsevier Inc.

【 授权许可】

Free