English

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

Functional Analysis 2020-12-02 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2012.00450,
  title  = {Inverse spectral problem for a third-order differential operator with non-local potential},
  author = {V. A. Zolotarev},
  journal= {arXiv preprint arXiv:2012.00450},
  year   = {2020}
}
R2 v1 2026-06-23T20:38:14.884Z