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

https://doi.org/10.17586/2220-8054-2024-15-1-31-36

Abstract

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).

About the Authors

R. R. Kucharov
Tashkent International University of Financial Management and Technology; National University of Uzbekistan
Uzbekistan

Ramziddin R. Kucharov

Tashkent, 4, 100174



T. M. Tuxtamurodova
National University of Uzbekistan
Uzbekistan

Tillohon M. Tuxtamurodova

Mathematics, Tashkent, 4, 100174



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For citations:


Kucharov R.R., Tuxtamurodova T.M. Non-compact perturbation of the spectrum of multipliers given by a special form. Nanosystems: Physics, Chemistry, Mathematics. 2024;15(1):31-36. https://doi.org/10.17586/2220-8054-2024-15-1-31-36

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