najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2024-15-1-31-36najo-28Research ArticleMATHEMATICSМАТЕМАТИКАNon-compact perturbation of the spectrum of multipliers given by a special formНекомпактное возмущение спектра мультипликатора, заданного специальной формойhttps://orcid.org/0000-0002-0728-9340КучаровР.KucharovR. R.

Ramziddin R. Kucharov

Tashkent, 4, 100174

r.kucharov@tift.uzhttps://orcid.org/0009-0002-1721-880XТухтамуродоваТ.TuxtamurodovaT. M.

Tillohon M. Tuxtamurodova

Mathematics, Tashkent, 4, 100174

mirzayevatilloxon13@gmail.comTashkent International University of Financial Management and Technology; National University of UzbekistanUzbekistanNational University of UzbekistanUzbekistan2024310520251513136Copyright © Kucharov R.R., Tuxtamurodova T.M., 20252025Кучаров Р., Тухтамуродова Т.Kucharov R.R., Tuxtamurodova T.M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/28

In this paper, the change of the spectrum of multiplier H0f (x, y) = k0(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 = H0 — (γ1T1 + γ2T2).

В данной работе изучается изменение спектра мультипликатора H0f (x, y) = k0(x, y)f (x, y) при возмущении с некомпактным частичным интегральным оператором. Кроме того, исследуется  существование резонанса в модели H = H0 — (γ1T1 + γ2T2).

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The authors declare that there are no conflicts of interest present.