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Nanosystems: Physics, Chemistry, Mathematics, 2024, Volume 15, Issue 1, Pages 31–36
DOI: https://doi.org/10.17586/2220-8054-2024-15-1-31-36 (Mi nano1244) 		 
MATHEMATICS

Non-compact perturbation of the spectrum of multipliers given by a special form

Ramziddin R. Kucharovab, Tillohon M. Tuxtamurodovab

a Tashkent International University of Financial Management and Technology, Tashkent, Uzbekistan
b National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (147 kB)
DOI: https://doi.org/10.17586/2220-8054-2024-15-1-31-36
Abstract: In this paper, the change of the spectrum of multiplier $H_0f(x,y)=k_0(x,y)f(x,y)$ for perturbation with non-compact partially integral operators is studied. In addition, the existence of resonance is investigated in the model $H =H_0-(\gamma_1T_1+\gamma_2T_2)$.
Keywords: essential spectrum, discrete spectrum, lower bound of the essential spectrum, non-compact partial integral operator, resonance with zero energy.
Received: 30.12.2023
Revised: 13.01.2024
Accepted: 15.01.2024
Bibliographic databases:
Document Type: Article
Language: English
Citation: Ramziddin R. Kucharov, Tillohon M. Tuxtamurodova, “Non-compact perturbation of the spectrum of multipliers given by a special form”, Nanosystems: Physics, Chemistry, Mathematics, 15:1 (2024), 31–36
Citation in format AMSBIB
\Bibitem{KucTux24}
\by Ramziddin~R.~Kucharov, Tillohon~M.~Tuxtamurodova
\paper Non-compact perturbation of the spectrum of multipliers given by a special form
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2024
\vol 15
\issue 1
\pages 31--36
\mathnet{http://mi.mathnet.ru/nano1244}
\crossref{https://doi.org/10.17586/2220-8054-2024-15-1-31-36}
\elib{https://elibrary.ru/item.asp?id=63021137}
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