V. B. Levenshtam, “Justification of the method of averaging for the system of equations with the Navier–Stokes operator in the principal part”, St. Petersburg Math. J., 26:1 (2015), 69–90
V. B. Levenshtam,, “Higher approximations of the averaging method for the vibration convection problem”,”, Differ. Equ., 31:5 (1995), 753–761
V. B. Levenshtam, P. E. Shubin, “Justification of the Averaging Method for Differential Equations with Large Rapidly Oscillating Summands and Boundary Conditions”, Math. Notes, 100:1 (2016), 94–108
V. B. Levenshtam, “Averaging of a normal system of ordinary differential equations of high frequency with a multipoint boundary value problem on a semi-axis”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 3, 64–69
2023
2.
V. B. Levenshtam, “Reconstruction of a rapidly oscillating lowest coefficient and the source of a hyperbolic equation from the partial asymptotics of the solution”, Vladikavkaz. Mat. Zh., 25:3 (2023), 111–122
3.
V. B. Levenshtam, “Averaging of a high-frequency hyperbolic system of quasi-linear equations with large terms”, Vladikavkaz. Mat. Zh., 25:4 (2023), 68–79
4.
V. B. Levenshtam, Tr. Mosk. Mat. Obs., 84, no. 1, MCCME, M., 2023, 25–35
5.
V. B. Levenshtam, A. K. Nazarov, Tr. Semim. im. I. G. Petrovskogo, 33, 2023, 221–228
6.
V. B. Levenshtam, Tr. Semim. im. I. G. Petrovskogo, 33, 2023, 196–220
2022
7.
V. B. Levenshtam, “Asymptotic Problems of Reconstructing a High-Frequency Source of a Wave Equation”, Math. Notes, 111:4 (2022), 636–642
8.
V. B. Levenshtam, “Hyperbolic equation with rapidly oscillating data. Reconstruction of the small junior coefficient and the right side the partial asymptotics of the solution”, Dokl. Math., 105:1 (2022), 28–30
9.
E. V. Korablina, V. B. Levenshtam, “Asymptotic problem of restoring the high-frequency right-hand side of the telegraph equation”, Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 208, VINITI, Moscow, 2022, 29–36
10.
D. Bigirindavyi, V. B. Levenshtam, “Averaging for high-frequency normal system of ordinary differential equations with multipoint boundary value problems”, Vladikavkaz. Mat. Zh., 24:2 (2022), 62–74
2021
11.
E. V. Korablina, V. B. Levenshtam, “Reconstruction of a high-frequency source term of the wave equation from the asymptotics of the solution. Case of the Cauchy problem”, Sib. elektron. matem. izv., 18:2 (2021), 827–833;
V. B. Levenshtam, “Parabolic Equations with Large Parameter. Inverse Problems”, Math. Notes, 107:3 (2020), 452–463
13.
P. V. Babich, V. B. Levenshtam, “Recovery of rapidly oscillated right-hand side of the wave equation by the partial asymptotics of the solution”, Vladikavkaz. Mat. Zh., 22:4 (2020), 28–44
2018
14.
P. V. Babich, V. B. Levenshtam, “Recovery of a Rapidly Oscillating Absolute Term in the Multidimensional Hyperbolic Equation”, Math. Notes, 104:4 (2018), 489–497
2017
15.
P. V. Babich, V. B. Levenshtam, S. P. Prika, “Recovery of a rapidly oscillating source in the heat equation from solution asymptotics”, Comput. Math. Math. Phys., 57:12 (2017), 1908–1918
2016
16.
V. B. Levenshtam, P. E. Shubin, “Justification of the Averaging Method for Differential Equations with Large Rapidly Oscillating Summands and Boundary Conditions”, Math. Notes, 100:1 (2016), 80–92
2015
17.
N. Ivleva, V. Levenshtam, “Asymptotic analysis of the generalized convection problem”, Eurasian Math. J., 6:1 (2015), 41–55;
V. V. Gusachenko, V. B. Levenshtam, “Asymptotic analysis of linear parabolic problems with singularities”, Comput. Math. Math. Phys., 55:1 (2015), 71–84
19.
V. B. Levenshtam, “Justification of the method of averaging for the system of equations with the Navier–Stokes operator in the principal part”, St. Petersburg Math. J., 26:1 (2015), 69–90
2014
20.
V. B. Levenshtam, “Asymptotic Integration of Linear Parabolic Problems with High-Frequency Coefficients in the Critical Case”, Math. Notes, 96:4 (2014), 499–513
2013
21.
V. V. Gusachenko, E. A. Il'icheva, V. B. Levenshtam, “Linear parabolic problem: High-frequency asymptotics in the critical case”, Comput. Math. Math. Phys., 53:7 (2013), 882–895
2012
22.
V. B. Levenshtam, “Asymptotic analysis of linear differential equations with a large parameter: the resonance case”, Siberian Math. J., 53:1 (2012), 100–105
23.
V. B. Levenshtam, “On correlation of two solution classes for Navier–Stokes equations. II”, Vladikavkaz. Mat. Zh., 14:4 (2012), 52–62
24.
V. V. Gusachenko, V. B. Levenshtam, “Asymptotic integration of the linear parabolic problem with the high frequency coefficients in the critical case”, Vladikavkaz. Mat. Zh., 14:4 (2012), 19–23
2011
25.
Do Ngoc Thanh, V. B. Levenshtam, “Asymptotic integration of a system of differential equations with a large parameter in the critical case”, Comput. Math. Math. Phys., 51:6 (2011), 975–986
2010
26.
E. V. Krutenko, V. B. Levenshtam, “Asymptotics of a solution to a second order linear differential equation with large summands”, Siberian Math. J., 51:1 (2010), 57–71
27.
V. B. Levenshtam, “On correlation of two solution classes of Navier–Stokes equation”, Vladikavkaz. Mat. Zh., 12:3 (2010), 56–66
2009
28.
V. B. Levenshtam, “Asymptotic analysis of some classes of ordinary differential equations with large high-frequency terms”, J. Math. Sci. (N. Y.), 163:1 (2009), 89–110
29.
E. V. Krutenko, V. B. Levenshtam, “Asymptotic analysis of certain systems of linear differential equations with a large parameter”, Comput. Math. Math. Phys., 49:12 (2009), 2047–2058
2008
30.
A. K. Kapikyan, V. B. Levenshtam, “First-order partial differential equations with large high-frequency terms”, Comput. Math. Math. Phys., 48:11 (2008), 2059–2076
2006
31.
V. B. Levenshtam, “Justification of the averaging method for parabolic equations containing rapidly
oscillating terms with large amplitudes”, Izv. Math., 70:2 (2006), 233–263
32.
V. B. Levenshtam, G. L. Khatlamadzhiyan, “Extension of averaging theory to differential equations containing rapidly oscillating terms with large amplitudes. The problem of periodic solutions”, Russian Math. (Iz. VUZ), 50:6 (2006), 33–45
33.
V. B. Levenshtam, “Uniform exponential dichotomy of parabolic operators with rapidly oscillating coefficients”, Math. Notes, 79:5 (2006), 675–680
2005
34.
V. B. Levenshtam, “Asymptotic Integration of Differential Equations with Rapidly Oscillating Terms of Large Amplitude: II”, Differ. Equ., 41:8 (2005), 1137–1145
35.
V. B. Levenshtam, “Asymptotic Integration of Differential Equations with Oscillatory Terms of Large Amplitudes: I”, Differ. Equ., 41:6 (2005), 797–807
36.
V. B. Levenshtam, “Asymptotic integration of parabolic problems with large high-frequency summands”, Siberian Math. J., 46:4 (2005), 637–651
2004
37.
V. B. Levenshtam, “Construction of higher approximations of the averaging method for parabolic initial-boundary value problems by the boundary layer method”, Russian Math. (Iz. VUZ), 48:3 (2004), 37–41
2003
38.
V. B. Levenshtam, “Higher-Order Approximations of the Averaging Method for Parabolic Initial-Boundary Value Problems with Rapidly Oscillating Coefficients”, Differ. Equ., 39:10 (2003), 1471–1479
39.
V. B. Levenshtam, “Unique Solvability of Parabolic Equations with Almost-Periodic Coefficients in Hölder Spaces”, Math. Notes, 73:6 (2003), 813–828
2002
40.
V. B. Levenshtam, “Asymptotic integration of quasilinear parabolic equations with coefficients that rapidly oscillate with respect to time”, Russian Math. (Iz. VUZ), 46:5 (2002), 34–41
2001
41.
V. B. Levenshtam, “Asymptotic Integration of the Navier–Stokes System with a Rapidly Oscillating Mass Force”, Differ. Equ., 37:5 (2001), 732–742
2000
42.
V. B. Levenshtam, “On an averaging method for quasilinear parabolic equations with rapidly oscillating coefficients”, Russian Math. (Iz. VUZ), 44:7 (2000), 20–28
43.
V. B. Levenshtam, “The averaging principle in the case of the cauchy problem for quasilinear parabolic equations with variable principal part”, Siberian Math. J., 41:4 (2000), 694–711
44.
V. B. Levenshtam, “Asymptotic expansion of the solution to the problem of vibrational convection”, Comput. Math. Math. Phys., 40:9 (2000), 1357–1365
1999
45.
V. B. Levenshtam, “Higher approximations of the averaging method for quasilinear parabolic equations with a rapidly oscillating principal part in the case of the Cauchy problem”, Math. Notes, 65:4 (1999), 470–478
1998
46.
V. B. Levenshtam, “Asymptotic integration of a vibration convection problem”, Differ. Equ., 34:4 (1998), 522–531
1997
47.
V. B. Levenshtam, “Higher approximations of the averaging method for quasilinear
parabolic equations”, Dokl. Akad. Nauk, 353:5 (1997), 599–601
1996
48.
V. B. Levenshtam, “Justification of the averaging method for the problem of thermal
vibrational convection”, Dokl. Math., 41:8 (1996), 365–367
49.
V. B. Levenshtam, “The averaging method in the convection problem with high-frequency oblique vibrations”, Siberian Math. J., 37:5 (1996), 970–982
1995
50.
V. B. Levenshtam, “Higher approximations of the averaging method for the vibration convection problem”, Differ. Equ., 31:5 (1995), 753–761
1993
51.
V. B. Levenshtam, “Justification of the averaging method for the convection problem with high-frequency vibrations”, Siberian Math. J., 34:2 (1993), 280–296
52.
V. B. Levenshtam, “Averaging of quasilinear parabolic equations with rapidly oscillating principal part. Exponential dichotomy”, Russian Acad. Sci. Izv. Math., 41:1 (1993), 95–132
1991
53.
V. B. Levenshtam, “Exponential dichotomy and the averaging method for parabolic
equations with rapidly oscillating principal part”, Dokl. Math., 43:3 (1991), 928–931
1990
54.
V. B. Levenshtam, “Higher approximations of the averaging method for a convection problem in a field of rapidly oscillating forces”, Differ. Equ., 26:10 (1990), 1337–1344
1989
55.
V. B. Levenshtam, “Asymptotic integration of a convection problem”, Siberian Math. J., 30:4 (1989), 554–559
1978
56.
V. B. Levenshtam, “The boundary layer method and the effective construction of higher approximations of the averaging method”, Soviet Math. (Iz. VUZ), 22:3 (1978), 41–47
1976
57.
V. B. Levenshtam, “The averaging method, and the bifurcation of bounded solutions of abstract parabolic equations”, Siberian Math. J., 17:5 (1976), 781–790
2024
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