Inverse spectral problem for a third-order differential operator with non-local potential

Spectral problem for a self-adjoint third-order differential operator with non-local potential on a finite interval is studied. Elementary functions that are analogues of sines and cosines for such operators are described. Direct and inverse problems for third-order operators with non-local potentia...

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Bibliographic Details
Published inJournal of Differential Equations Vol. 303; pp. 456 - 481
Main Author Zolotarev, V.A.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 05.12.2021
Subjects
Inverse problem
Non-local potential
Third-order differential operator
34L15
34L10
Non-local potential
Third-order differential operator
Inverse problem
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Summary:Spectral problem for a self-adjoint third-order differential operator with non-local potential on a finite interval is studied. Elementary functions that are analogues of sines and cosines for such operators are described. Direct and inverse problems for third-order operators with non-local potential are solved.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2021.09.025