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Rasulov Tulkin Husenovich

Publications in Math-Net.Ru

  1. Spectral relations for a matrix model in fermionic Fock space

    Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 3,  91–96
  2. On the number of components of the essential spectrum of one $2\times2$ operator matrix

    Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 2,  85–90
  3. Main properties of the Faddeev equation for $2 \times 2$ operator matrices

    Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 12,  53–58
  4. Non-negative matrices and their structured singular values

    Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 10,  36–45
  5. Existence condition of an eigenvalue of the three particle Schrödinger operator on a lattice

    Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 9,  3–19
  6. Conditions for the existence of eigenvalues of a three-particle lattice model Hamiltonian

    Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 7,  3–12
  7. The first Schur complement for a lattice spin-boson model with at most two photons

    Nanosystems: Physics, Chemistry, Mathematics, 14:3 (2023),  304–311
  8. Existence of the eigenvalues of a tensor sum of the Friedrichs models with rank 2 perturbation

    Nanosystems: Physics, Chemistry, Mathematics, 14:2 (2023),  151–157
  9. Description of the spectrum of one fourth-order operator matrix

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 27:3 (2023),  427–445
  10. Analysis of the spectrum of a $2\times 2$ operator matrix. Discrete spectrum asymptotics

    Nanosystems: Physics, Chemistry, Mathematics, 11:2 (2020),  138–144
  11. Infinite number of eigenvalues of $2\times 2$ operator matrices: Asymptotic discrete spectrum

    TMF, 205:3 (2020),  368–390
  12. Threshold analysis for a family of $2\times2$ operator matrices

    Nanosystems: Physics, Chemistry, Mathematics, 10:6 (2019),  616–622
  13. Analytic description of the essential spectrum of a family of $3\times 3$ operator matrices

    Nanosystems: Physics, Chemistry, Mathematics, 10:5 (2019),  511–519
  14. Branches of the essential spectrum of the lattice spin-boson model with at most two photons

    TMF, 186:2 (2016),  293–310
  15. Universality of the discrete spectrum asymptotics of the three-particle Schrödinger operator on a lattice

    Nanosystems: Physics, Chemistry, Mathematics, 6:2 (2015),  280–293
  16. On the spectrum of a three-particle model operator on a lattice with non-local potentials

    Sib. Èlektron. Mat. Izv., 12 (2015),  168–184
  17. An eigenvalue multiplicity formula for the Schur complement of a $3\times3$ block operator matrix

    Sibirsk. Mat. Zh., 56:4 (2015),  878–895
  18. Infiniteness of the number of eigenvalues embedded in the essential spectrum of a $2\times2$ operator matrix

    Eurasian Math. J., 5:2 (2014),  60–77
  19. The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice

    Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 1,  61–70
  20. On the number of eigenvalues of the family of operator matrices

    Nanosystems: Physics, Chemistry, Mathematics, 5:5 (2014),  619–625
  21. Essential and discrete spectrum of a three-particle lattice Hamiltonian with non-local potentials

    Nanosystems: Physics, Chemistry, Mathematics, 5:3 (2014),  327–342
  22. Spectrum and resolvent of a block operator matrix

    Sib. Èlektron. Mat. Izv., 11 (2014),  334–344
  23. Investigations of the Numerical Range of a Operator Matrix

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(35) (2014),  50–63
  24. Structure of the essential spectrum of a model operator associated to a system of three particles on a lattice

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(27) (2012),  34–43
  25. On the number of eigenvalues of a matrix operator

    Sibirsk. Mat. Zh., 52:2 (2011),  400–415
  26. Essential spectrum of a model operator associated with a three-particle system on a lattice

    TMF, 166:1 (2011),  95–109
  27. On the essential spectrum of a model operator associated with the system of three particles on a lattice

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(24) (2011),  42–51
  28. Some spectral properties of a generalized Friedrichs model

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011),  181–188
  29. The Faddeev equation and location of the essential spectrum of a three-particle model operator

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011),  170–180
  30. Study of the essential spectrum of a matrix operator

    TMF, 164:1 (2010),  62–77
  31. Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice

    TMF, 163:1 (2010),  34–44
  32. Investigation of the spectrum of a model operator in a Fock space

    TMF, 161:2 (2009),  164–175
  33. The Faddeev equation and the location of the essential spectrum of a model operator for several particles

    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 12,  59–69
  34. On the Structure of the Essential Spectrum of a Model Many-Body Hamiltonian

    Mat. Zametki, 83:1 (2008),  86–94
  35. Discrete spectrum of a model operator in Fock space

    TMF, 152:3 (2007),  518–527
  36. Efimov's Effect in a Model of Perturbation Theory of the Essential Spectrum

    Funktsional. Anal. i Prilozhen., 37:1 (2003),  81–84
  37. A Model in the Theory of Perturbations of the Essential Spectrum of Multiparticle Operators

    Mat. Zametki, 73:4 (2003),  556–564


© Steklov Math. Inst. of RAS, 2024