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Publications in Math-Net.Ru
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Spectral relations for a matrix model in fermionic Fock space
Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 3, 91–96
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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
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Main properties of the Faddeev equation for $2 \times 2$ operator matrices
Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 12, 53–58
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Non-negative matrices and their structured singular values
Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 10, 36–45
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Existence condition of an eigenvalue of the three particle Schrödinger operator on a lattice
Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 9, 3–19
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Conditions for the existence of eigenvalues of a three-particle lattice model Hamiltonian
Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 7, 3–12
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The first Schur complement for a lattice spin-boson model with at most two photons
Nanosystems: Physics, Chemistry, Mathematics, 14:3 (2023), 304–311
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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
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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
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Analysis of the spectrum of a $2\times 2$ operator matrix. Discrete spectrum asymptotics
Nanosystems: Physics, Chemistry, Mathematics, 11:2 (2020), 138–144
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Infinite number of eigenvalues of $2\times 2$ operator matrices: Asymptotic discrete spectrum
TMF, 205:3 (2020), 368–390
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Threshold analysis for a family of $2\times2$ operator matrices
Nanosystems: Physics, Chemistry, Mathematics, 10:6 (2019), 616–622
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Analytic description of the essential spectrum of a family of $3\times 3$ operator matrices
Nanosystems: Physics, Chemistry, Mathematics, 10:5 (2019), 511–519
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Branches of the essential spectrum of the lattice spin-boson model with at most two photons
TMF, 186:2 (2016), 293–310
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Universality of the discrete spectrum asymptotics of the three-particle Schrödinger operator on a lattice
Nanosystems: Physics, Chemistry, Mathematics, 6:2 (2015), 280–293
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On the spectrum of a three-particle model operator on a lattice with non-local potentials
Sib. Èlektron. Mat. Izv., 12 (2015), 168–184
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An eigenvalue multiplicity formula for the Schur complement of a $3\times3$ block operator matrix
Sibirsk. Mat. Zh., 56:4 (2015), 878–895
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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
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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
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On the number of eigenvalues of the family of operator matrices
Nanosystems: Physics, Chemistry, Mathematics, 5:5 (2014), 619–625
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Essential and discrete spectrum of a three-particle lattice Hamiltonian with non-local potentials
Nanosystems: Physics, Chemistry, Mathematics, 5:3 (2014), 327–342
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Spectrum and resolvent of a block operator matrix
Sib. Èlektron. Mat. Izv., 11 (2014), 334–344
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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
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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
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On the number of eigenvalues of a matrix operator
Sibirsk. Mat. Zh., 52:2 (2011), 400–415
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Essential spectrum of a model operator associated with a three-particle system on a lattice
TMF, 166:1 (2011), 95–109
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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
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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
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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
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Study of the essential spectrum of a matrix operator
TMF, 164:1 (2010), 62–77
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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
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Investigation of the spectrum of a model operator in a Fock space
TMF, 161:2 (2009), 164–175
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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
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On the Structure of the Essential Spectrum of a Model Many-Body Hamiltonian
Mat. Zametki, 83:1 (2008), 86–94
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Discrete spectrum of a model operator in Fock space
TMF, 152:3 (2007), 518–527
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Efimov's Effect in a Model of Perturbation Theory of the Essential Spectrum
Funktsional. Anal. i Prilozhen., 37:1 (2003), 81–84
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A Model in the Theory of Perturbations of the Essential Spectrum of Multiparticle Operators
Mat. Zametki, 73:4 (2003), 556–564
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