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About the Spectral Properties of One Three-Partial Model Operator

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Abstract

We investigate the structure of the essential spectrum of one three particle model operator H. We prove the existence of negative eigenvalues of the operator H and obtain the estimate for a number of negative eigenvalues of the operator H.

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Funding

The work was supported by Uzbek Foundation for Basic Research, grant OT-F-4.03.

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Authors and Affiliations

  1. Tashkent State Technical University named after Islam Karimov, 2 Universitetskaya str., Tashkent, 100097, Republic of Uzbekistan

    G. P. Arzikulov

  2. Karshi State University, 17 Kuchabog str., Karshi, 180100, Republic of Uzbekistan

    Yu. Kh. Eshkabilov

Authors
  1. G. P. Arzikulov
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  2. Yu. Kh. Eshkabilov
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Corresponding authors

Correspondence to G. P. Arzikulov or Yu. Kh. Eshkabilov.

Additional information

Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 5, pp. 3–11.

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Arzikulov, G.P., Eshkabilov, Y.K. About the Spectral Properties of One Three-Partial Model Operator. Russ Math. 64, 1–7 (2020). https://doi.org/10.3103/S1066369X20050011

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  • DOI: https://doi.org/10.3103/S1066369X20050011

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