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Asymptotics of eigenvalues of fourth order differential operator with alternating weight function Vestnik Moskov. Univ. Ser. 1. Mat. Mekh. , 2018:6 , 46–58
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Construction of asymptotics of solutions to the Sturm–Liouville differential equations in the class of oscillating coefficients Vestnik Moskov. Univ. Ser. 1. Mat. Mekh. , 2023:5 , 61–65
Recovery of discontinuities for Sturm–Liouville operator Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. , 2012, 12 :1114–125
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Initial-boundary value problem for the equation of forced vibrations of a cantilever beam Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.] , 202151–66
An initial boundary value problem for a partial differential equation of higher even order with a Bessel operator Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.] , 2022273–292
An initial-boundary problem for a hyperbolic equation with three lines of degenerating of the second kind Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.] , 2022672–693
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The calculating of meanings of eigen functions of discrete semibounded from below operators via method of regularized traces Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya , 2012:6 , 13–21
About the stability of branching solutions in the problem on capillary-gravity waves in a deep spatial layer of floating fluid Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya , 2009:2 , 10–25
About the directed disturbance of discrete operators Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya , 2009:8 , 44–60
On the study of spectral properties of differential operators of even order with discontinuous weight function Tambov University Reports. Series: Natural and Technical Sciences , 2018, 23 :12174–99
On the study of the spectral properties of differential operators with a smooth weight function Russian Universities Reports. Mathematics , 2020, 25 :12925–47
Spectral properties of an even-order differential operator with a discontinuous weight function Russian Universities Reports. Mathematics , 2022, 27 :13737–57
On an adequate description of adjoint operator Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki , 2011:3 , 43–63
Inverse boundary value problem for second order elliptic equation with additional integral condition Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki , 2012:1 , 32–40
On the determination of loading and fixing for one end of a rod according to its natural frequencies of oscillation Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki , 2013:3 , 114–129
Basis property of a system of eigenfunctions of a second-order differential operator with involution Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki , 2019, 29 :2183–196
On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki , 2021, 31 :2186–193
On the solvability of nonlocal initial-boundary value problems for a partial differential equation of high even order Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki , 2022, 32 :2240–255
Stability and local bifurcations of single-mode equilibrium states of the Ginzburg–Landau variational equation Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki , 2023, 33 :2240–258
On one problem for a fourth-order mixed-type equation that degenerates inside and on the boundary of a domain Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki , 2023, 33 :2312–328
The task of basis property of root functions of differential sheaf of the $2n$ d order with $n$ -fold characteristics Mathematical Physics and Computer Simulation , 2018, 21 :15–10
About the spectral properties of the family of the differential operator of even order with summable potential Mathematical Physics and Computer Simulation , 2018, 21 :213–26
The inversion procedure for ordinary differential equation's linear boundary problem Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz. , 2011:5 , 12–17
Meanings of the First Eigenfunctions of Perturbed Discrete Operator with Simple Spectrum Finding Vestnik YuUrGU. Ser. Mat. Model. Progr. , 2012:11 , 25–32
The Method of the Integral Equations to Construct the Green's Function Vestnik YuUrGU. Ser. Mat. Model. Progr. , 2012:13 , 16–23
The Numerical Methods of Eigenvalues and Eigenfunctions of Perturbed Self-Adjoin Operator Finding Vestnik YuUrGU. Ser. Mat. Model. Progr. , 2012:13 , 45–57
Models of multiparameter bifurcations in boundary value problems for ODEs of the fourth order on divergence of elongated plate in supersonic gas flow Vestnik YuUrGU. Ser. Mat. Model. Progr. , 2015, 8 :224–35
On the finite spectrum of three-point boundary value problems Vestnik YuUrGU. Ser. Mat. Model. Progr. , 2020, 13 :2130–135
Algorithm for numerical solution of inverse spectral problems generated by Sturm–Liouville operators of an arbitrary even order Vestnik YuUrGU. Ser. Mat. Model. Progr. , 2021, 14 :252–63
Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics I:
general classification of reducibility and analysis of third-order algebra Zap. Nauchn. Sem. POMI , 2006, 335 22–49
Exact small deviation asymptotics in $L_2$ -norm for some weighted Gaussian processes Zap. Nauchn. Sem. POMI , 2009, 364 166–199
Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics III: precise classification of irreducible intertwining operators Zap. Nauchn. Sem. POMI , 2010, 374 213–249
Wave model of the Sturm–Liouville operator on an interval Zap. Nauchn. Sem. POMI , 2018, 471 225–260
On the properties of a class of random operators Zap. Nauchn. Sem. POMI , 2022, 510 143–164
Spectral shift function and eigenvalues of the perturbed operator Zap. Nauchn. Sem. POMI , 2022, 512 15–26
Sturm-Liouville operators with $W^{-1,1}$ -matrix potentials Zap. Nauchn. Sem. POMI , 2022, 516 20–39
Fronts, traveling fronts, and their stability in the generalized Swift–Hohenberg equation Zh. Vychisl. Mat. Mat. Fiz. , 2008, 48 :4693–712
On the Tikhonov regularization in spaces of differentiable functions Zh. Vychisl. Mat. Mat. Fiz. , 2004, 44 :4581–585
Tikhonov's method and approximation of periodic functions Zh. Vychisl. Mat. Mat. Fiz. , 2003, 43 :4513–517
Extension of the convergence domain in the Tikhonov method Zh. Vychisl. Mat. Mat. Fiz. , 2002, 42 :81109–1114
Modifications of the method of phase functions as applied to singular problems in quantum physics Zh. Vychisl. Mat. Mat. Fiz. , 1999, 39 :3492–522
A method for solving selfadjoint multiparameter spectral problems for systems of equations with singularities Zh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :101636–1640
Approximating properties of resolvents of differential operators in the approximation problem for functions and their derivatives Zh. Vychisl. Mat. Mat. Fiz. , 1998, 38 :71106–1113
Modification of the phase method for singular selfadjoint Sturm–Liouville problems Zh. Vychisl. Mat. Mat. Fiz. , 1997, 37 :101183–1200
On the oscillation theory of the Sturm–Liouville problem with singular coefficients Zh. Vychisl. Mat. Mat. Fiz. , 2009, 49 :91609–1621
Asymptotic analysis of certain systems of linear differential equations with a large parameter Zh. Vychisl. Mat. Mat. Fiz. , 2009, 49 :122144–2155
On the computation of the spectrum of directionally perturbed operators Zh. Vychisl. Mat. Mat. Fiz. , 2010, 50 :71179–1199
1 : 3 Resonance is a possible cause of nonlinear panel flutter Zh. Vychisl. Mat. Mat. Fiz. , 2011, 51 :71266–1279
The theory of regularized traces of Sturm–Liouville operators as applied to approximate calculation of eigenvalues and eigenfunctions of certain singular operators Zh. Vychisl. Mat. Mat. Fiz. , 2011, 51 :122209–2232
Fourier method in an initial-boundary value problem for a first-order partial differential equation with involution Zh. Vychisl. Mat. Mat. Fiz. , 2011, 51 :122233–2246
A method for solving the eigenvalue problem for systems consisting of a one-dimensional subsystems with discrete bonds Zh. Vychisl. Mat. Mat. Fiz. , 2012, 52 :81437–1456
The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems Zh. Vychisl. Mat. Mat. Fiz. , 2012, 52 :5883–915
Solution of boundary value problems for waveguides with anisotropic filling Zh. Vychisl. Mat. Mat. Fiz. , 2013, 53 :71113–1123
Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides Zh. Vychisl. Mat. Mat. Fiz. , 2013, 53 :71150–1161
Multiplicity of eigenvalues in certain boundary value problems for the Helmholtz equation Zh. Vychisl. Mat. Mat. Fiz. , 2013, 53 :5783–791
Analysis of mixed problems of matching in hyperbolic systems of different orders Zh. Vychisl. Mat. Mat. Fiz. , 2014, 54 :71171–1185
The resolvent approach for the wave equation Zh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :2229–241
Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides Zh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :3460–468
Resolvent approach to the Fourier method in a mixed problem for the wave equation Zh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :4621–630
A resolvent approach in the Fourier method for the wave equation: The non-selfadjoint case Zh. Vychisl. Mat. Mat. Fiz. , 2015, 55 :71156–1167
Behavior of the formal solution to a mixed problem for the wave equation Zh. Vychisl. Mat. Mat. Fiz. , 2016, 56 :2239–251
On the convergence of the formal Fourier solution of the wave equation with a summable potential Zh. Vychisl. Mat. Mat. Fiz. , 2016, 56 :101795–1809
Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide Zh. Vychisl. Mat. Mat. Fiz. , 2017, 57 :81304–1320
Numerical solution of vector Sturm–Liouville problems with Dirichlet conditions and nonlinear dependence on the spectral parameter Zh. Vychisl. Mat. Mat. Fiz. , 2017, 57 :91503–1516
A mixed problem for an inhomogeneous wave equation with a summable potential Zh. Vychisl. Mat. Mat. Fiz. , 2017, 57 :101692–1707
Perturbation formulas for a nonlinear eigenvalue problem for ordinary differential equations Zh. Vychisl. Mat. Mat. Fiz. , 2018, 58 :6890–894
Mixed problem for a homogeneous wave equation with a nonzero initial velocity Zh. Vychisl. Mat. Mat. Fiz. , 2018, 58 :91583–1596
Existence conditions of negative eigenvalues in the regular Sturm–Liouville boundary value problem and explicit expressions for their number Zh. Vychisl. Mat. Mat. Fiz. , 2018, 58 :122014–2025
Spectral estimates for the fourth-order operator with matrix coefficients Zh. Vychisl. Mat. Mat. Fiz. , 2020, 60 :71201–1223
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