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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 5, Pages 3–10
DOI: https://doi.org/10.26907/0021-3446-2020-5-3-10 (Mi ivm9566) 		 
About the spectral properties of one three-partial model operator

G. P. Arzikulova, Yu. Kh. Eshkabilovb

a Tashkent State Technical University named after Islam Karimov, 2 Universitetskaya str., Tashkent, 100097 Republic of Uzbekistan
b Karshi State University, 17 Kuchabog str., Karshi, 180100 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2020-5-3-10
Abstract: We investigate the structure of the essential spectrum of one of the three particle model operator $H$. We prove the existence of a negative eigenvalues of the operator H and obtaine the estimate for a number of negative eigenvalues of the operator $H$.
Keywords: essential spectrum, discrete spectrum, lower bound of the essential spectrum, three particle discrete operator.
Funding agency Grant number
Academy of Sciences of the Republic of Uzbekistan ОТ-Ф-4.03
Received: 18.05.2019
Revised: 29.10.2019
Accepted: 18.12.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 5, Pages 1–7
DOI: https://doi.org/10.3103/S1066369X20050011
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: G. P. Arzikulov, Yu. Kh. Eshkabilov, “About the spectral properties of one three-partial model operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 5, 3–10; Russian Math. (Iz. VUZ), 64:5 (2020), 1–7
Citation in format AMSBIB
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\paper About the spectral properties of one three-partial model operator
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\issue 5
\pages 3--10
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\issue 5
\pages 1--7
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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