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Works citing this work

21 works

Work: Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator

  1. Bound states of Schrödinger-type operators on one and two dimensional lattices

    Shokhrukh Yu. Kholmatov, S. N. Lakaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications202115 citations
    ABI

  2. On the Number and Location of Eigenvalues of the Two Particle Schrödinger Operator on a Lattice

    S. N. Lakaev, Sh. I. Khamidov

    ArticleCold Atom Physics and Bose-Einstein CondensatesLobachevskii Journal of Mathematics202210 citations
    ABI

  3. On Spectrum of the Discrete Bilaplacian with Zero-Range Perturbation

    Shokhrukh Yu. Kholmatov, Mardon Pardabaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202110 citations
    ABI

  4. On The Discrete Spectra of Schrödinger-Type Operators on one Dimensional Lattices

    S. N. Lakaev, A. T. Boltaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 citations
    ABI

  5. On the spectrum of Schrödinger-type operators on two dimensional lattices

    Shokhrukh Yu. Kholmatov, S. N. Lakaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications20227 citations
    ABI

  6. The Existence and Asymptotics of Eigenvalues of Schrödinger Operator on Two Dimensional Lattices

    A. T. Boltaev, Firdavsjon M. Almuratov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20225 citations
    ABI

  7. The Spectrum of a Non-local Discrete Schrödinger Operator with a Delta Potential on the One-Dimentional Lattice

    Sh. S. Lakaev, Golibjon Ismoilov, O. I. Kurbonov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20235 citations
    ABI

  8. On the existence of eigenvalues of the one particle discrete Schrödinger operators

    A. M. Khalkhuzhaev, Sh. I. Khamidov, Habibullo Mahmudov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20245 citations
    ABI

  9. Puiseux series expansion for an eigenvalue of the generalized Friedrichs model with perturbation of rank 1

    S. N. Lakaev, Maslina Darus, Shaxzod Kurbanov

    ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical20135 citations
    ABI

  10. On the Number and Locations of Eigenvalues of the Discrete Schrödinger Operator on a Lattice

    M. O. Akhmadova, I. U. Alladustova, S. N. Lakaev

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 citations
    ABI

  11. Puiseux Series Expansion for Eigenvalue of the Generalized Friedrichs Model with the Perturbation of Rank One

    Sh. Kh. Kurbanov, Said T. Dustov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20234 citations
    ABI

  12. The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices

    S. N. Lakaev, M. O. Akhmadova

    ArticleSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20234 citations
    ABI

  13. Expansion of eigenvalues of the perturbed discrete bilaplacian

    Shokhrukh Yu. Kholmatov, A. M. Khalkhuzhaev, Mardon Pardabaev

    ArticleSpectral Theory in Mathematical PhysicsMonatshefte für Mathematik20224 citations
    ABI

  14. Bound states of the Schrödinger operator of a system of three bosons on a lattice

    S. N. Lakaev, A. R. Khalmukhamedov, A. M. Khalkhuzhaev

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20163 citations
    ABI

  15. Threshold Analysis of the One-Rank Perturbation Non-Local Discrete Laplacian

    Sh. S. Lakaev, O. I. Kurbonov, Vasila Aktamova

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20221 citations
    ABI

  16. Expansions of eigenvalues of a discrete bilaplacian with two-dimensional perturbation

    Tulkin H. Rasulov, A. M. Khalkhuzhaev, Mardon Pardabaev +1

    ArticleSpectral Theory in Mathematical PhysicsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20241 citations
    ABI

  17. The Discrete Spectrum of the Generalized Friedrichs Model with a Rank-Two Perturbation

    Sh. Kh. Kurbanov, S. S. Abduvayitov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20251 citations
    ABI

  18. Convergent Expansions of Eigenvalues of the Generalized Friedrichs Model with a Rank-One Perturbation

    S. N. Lakaev, Shakhzod Kurbanov, Sh. U. Alladustov

    PreprintSpectral Theory in Mathematical PhysicsComplex Analysis and Operator Theory20210 citations
    ABI

  19. Threshold effects in spectra of one-particle operators

    Firdavsjon M. Almuratov, Salokhiddin Alimov

    ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20240 citations
    ABI

  20. Expansions of Eigenvalues of a Discrete Bilaplacian with a Two-Dimensional Perturbation

    Tulkin H. Rasulov, A. M. Khalkhuzhaev, Mardon Pardabaev +1

    ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20240 citations
    ABI

  21. The Infiniteness of the Number of Eigenvalues of the Schrödinger Operator of a System of Two Particles on a Lattice

    J. I. Abdullaev, A. M. Khalkhuzhaev, Kh. Sh. Makhmudov

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20240 citations
    ABI