ASYMPTOTICS OF EIGENVALUES OF RANK-ONE PERTURBATIONS OPERATOR ON LATTICE

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Published: 2024-05-18
DOI: https://doi.org/10.5281/
Keywords:
operator, spectrum, eigenvalue, eigenvalue asymptotic

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Almuratov F.
Jizzakh branch of the National University of Uzbekistan, Associate professor, Department of Applied Mathematics
Bahriddinova A.
Jizzakh branch of the National University of Uzbekistan, student
Amrilloyeva M.
Jizzakh branch of the National University of Uzbekistan, student
Annaqulova M.
Jizzakh branch of the National University of Uzbekistan, student

Abstract

We consider the family of discrete Schrödinger-type operator in two-dimensional lattice . We establish the existence or non-existence and also the finiteness of eigenvalues of lying above the essential spectrum.

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Vol. 1 No. 1 (2024): ZAMONAVIY INNOVATSION TADQIQOTLARNING DOLZARB MUAMMOLARI VA RIVOJLANISH TENDENSIYALARI: YECHIMLAR VA ISTIQBOLLAR mavzusidagi Respublika ilmiy-texnik anjuman (2024-yil 17-18-may) (1-qism)

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Almuratov, F., Bahriddinova, A., Amrilloyeva, M., & Annaqulova, M. (2024). ASYMPTOTICS OF EIGENVALUES OF RANK-ONE PERTURBATIONS OPERATOR ON LATTICE. Konferensiyalar, 1(1), 275-279. https://doi.org/10.5281/

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