Rasulov Tulkin Husenovich

Publications in Math-Net.Ru

1. Spectral estimates for the bounds of an operator matrix of order three
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 6,  88–93
2. Investigation of the spectrum of an operator matrix of order three in one-dimensional case
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 5,  84–90
3. Asymptotic expansion of Fredholm determinant associated to a family of Friedrichs models arising in quantum mechanics
   
   Nanosystems: Physics, Chemistry, Mathematics, 16:5 (2025),  586–592
4. Expansions of eigenvalues of a discrete bilaplacian with two-dimensional perturbation
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 10,  77–89
5. Spectral relations for a matrix model in fermionic Fock space
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 3,  91–96
6. 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
7. Main properties of the Faddeev equation for $2 \times 2$ operator matrices
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 12,  53–58
8. Non-negative matrices and their structured singular values
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 10,  36–45
9. Existence condition of an eigenvalue of the three particle Schrödinger operator on a lattice
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 9,  3–19
10. Conditions for the existence of eigenvalues of a three-particle lattice model Hamiltonian
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 7,  3–12
11. The first Schur complement for a lattice spin-boson model with at most two photons
    
    Nanosystems: Physics, Chemistry, Mathematics, 14:3 (2023),  304–311
12. 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
13. 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
14. Analysis of the spectrum of a $2\times 2$ operator matrix. Discrete spectrum asymptotics
    
    Nanosystems: Physics, Chemistry, Mathematics, 11:2 (2020),  138–144
15. Infinite number of eigenvalues of $2\times 2$ operator matrices: Asymptotic discrete spectrum
    
    TMF, 205:3 (2020),  368–390
16. Threshold analysis for a family of $2\times2$ operator matrices
    
    Nanosystems: Physics, Chemistry, Mathematics, 10:6 (2019),  616–622
17. Analytic description of the essential spectrum of a family of $3\times 3$ operator matrices
    
    Nanosystems: Physics, Chemistry, Mathematics, 10:5 (2019),  511–519
18. Branches of the essential spectrum of the lattice spin-boson model with at most two photons
    
    TMF, 186:2 (2016),  293–310
19. Universality of the discrete spectrum asymptotics of the three-particle Schrödinger operator on a lattice
    
    Nanosystems: Physics, Chemistry, Mathematics, 6:2 (2015),  280–293
20. On the spectrum of a three-particle model operator on a lattice with non-local potentials
    
    Sib. Èlektron. Mat. Izv., 12 (2015),  168–184
21. An eigenvalue multiplicity formula for the Schur complement of a $3\times3$ block operator matrix
    
    Sibirsk. Mat. Zh., 56:4 (2015),  878–895
22. 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
23. 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
24. On the number of eigenvalues of the family of operator matrices
    
    Nanosystems: Physics, Chemistry, Mathematics, 5:5 (2014),  619–625
25. Essential and discrete spectrum of a three-particle lattice Hamiltonian with non-local potentials
    
    Nanosystems: Physics, Chemistry, Mathematics, 5:3 (2014),  327–342
26. Spectrum and resolvent of a block operator matrix
    
    Sib. Èlektron. Mat. Izv., 11 (2014),  334–344
27. 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
28. 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
29. On the number of eigenvalues of a matrix operator
    
    Sibirsk. Mat. Zh., 52:2 (2011),  400–415
30. Essential spectrum of a model operator associated with a three-particle system on a lattice
    
    TMF, 166:1 (2011),  95–109
31. 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
32. 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
33. 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
34. Study of the essential spectrum of a matrix operator
    
    TMF, 164:1 (2010),  62–77
35. 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
36. Investigation of the spectrum of a model operator in a Fock space
    
    TMF, 161:2 (2009),  164–175
37. 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
38. On the Structure of the Essential Spectrum of a Model Many-Body Hamiltonian
    
    Mat. Zametki, 83:1 (2008),  86–94
39. Discrete spectrum of a model operator in Fock space
    
    TMF, 152:3 (2007),  518–527
40. Efimov's Effect in a Model of Perturbation Theory of the Essential Spectrum
    
    Funktsional. Anal. i Prilozhen., 37:1 (2003),  81–84
41. A Model in the Theory of Perturbations of the Essential Spectrum of Multiparticle Operators
    
    Mat. Zametki, 73:4 (2003),  556–564