Brief communications

Formula for regularized trace of $2m$-order differential operator with periodic boundary conditions

È. F. Akhmerova, M. A. Rahmatzoda, T. G. Amangil'din

Ufa University of Science and Technology, 32 Zaki Validi str., Ufa, 450076 Russia

Abstract: We obtain a regularized trace formula for $2m$-order differential operator perturbed by a quasi-differential perturbation and with periodic boundary conditions.

Keywords: regularized trace, eigenvalue, perturbed operator, resolvent.

UDC: 517.984

Received: 25.01.2024
Revised: 25.01.2024
Accepted: 20.03.2024

DOI: 10.26907/0021-3446-2024-5-85-90

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2024, 68:5, 72–76