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Dubrovskii, Vladimir Vasil'evich

Statistics Math-Net.Ru
Total publications: 64
Scientific articles: 62

Number of views:
This page:1378
Abstract pages:7453
Full texts:3245
References:460
Professor
Doctor of physico-mathematical sciences
E-mail:

http://www.mathnet.ru/eng/person9188
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/199864

Publications in Math-Net.Ru
2003
1. V. V. Dubrovskii, V. V. Dubrovskii (jr), A. N. Tipko, “Некоторые вопросы обратных задач спектрального анализа для степени оператора Якоби”, Vestnik Chelyabinsk. Gos. Univ., 2003, 7,  52–56  mathnet
2. V. V. Dubrovskii, N. V. Semin, “A solution uniqueness theorem for the converse problem of spectral analysis for the Gegenbauer operator with a finite potential”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, 6,  40–42  mathnet  mathscinet  zmath
2002
3. V. V. Dubrovskii, V. V. Raspopov, “An Approximate Regularized Trace Formula for an Ordinary Fourth-Order Differential Operator”, Differ. Uravn., 38:7 (2002),  979–981  mathnet  mathscinet; Differ. Equ., 38:7 (2002), 1042–1045
4. V. A. Sadovnichii, V. V. Dubrovskii, E. M. Maleko, A. Yu. Popov, “Correctness of Dorodnitsyn's Method for Approximate Calculation of Eigenvalues in a Class of Boundary Value Problems”, Differ. Uravn., 38:4 (2002),  471–476  mathnet  mathscinet; Differ. Equ., 38:4 (2002), 490–495
5. V. V. Dubrovskii, L. V. Smirnova, “On the reconstruction of the potential in the inverse Robin problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, 7,  8–13  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 46:7 (2002), 6–11
6. V. V. Dubrovskii, Z. S. Chekashkina, “Регуляризованные следы возмущенного оператора”, Vestnik Chelyabinsk. Gos. Univ., 2002, 6,  35–37  mathnet
2001
7. V. V. Dubrovskii, E. M. Gugina, “A new approach to Fourier method in mixed problem for one singular differential operator”, Fundam. Prikl. Mat., 7:3 (2001),  935–938  mathnet  mathscinet  zmath
8. V. V. Dubrovskii, “On the asymptotics of spectral function for ordinary differential selfadjoint operator”, Fundam. Prikl. Mat., 7:1 (2001),  271–274  mathnet  mathscinet  zmath
9. V. V. Dubrovskii, “Inverse Problems of Spectral Analysis and Carleson Interpolation”, Mat. Zametki, 70:3 (2001),  468–471  mathnet  mathscinet  zmath; Math. Notes, 70:3 (2001), 422–425  isi
10. V. V. Dubrovskii, A. N. Tipko, Z. S. Chekashkina, “Regularized traces of unitary operators”, Uspekhi Mat. Nauk, 56:6(342) (2001),  145–146  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:6 (2001), 1158–1159  isi  scopus
11. V. V. Dubrovskii, A. N. Tipko, “On the uniqueness of the solution of an inverse problem of spectral analysis for a singular second-order ordinary differential operator”, Uspekhi Mat. Nauk, 56:3(339) (2001),  163–164  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:3 (2001), 578–579  isi  scopus
12. V. V. Dubrovskii, V. V. Dubrovskii (jr), “On the existence theorem for solutions to the inverse problem of spectral analysis”, Uspekhi Mat. Nauk, 56:1(337) (2001),  161–162  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:1 (2001), 154–155  isi
2000
13. V. A. Sadovnichii, V. V. Dubrovskii, E. A. Puzankova, “The Inverse Problem of Spectral Analysis for a Power of the Laplace Operator in the Rectangle”, Differ. Uravn., 36:12 (2000),  1695–1698  mathnet  mathscinet; Differ. Equ., 36:12 (2000), 1859–1862
14. V. A. Sadovnichy, V. V. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, “Computation of the first eigenvalues of the hydrodynamic stability problem for a viscous fluid flow between two rotating cylinders”, Differ. Uravn., 36:6 (2000),  742–746  mathnet  mathscinet; Differ. Equ., 36:6 (2000), 819–824
15. V. V. Dubrovskii, A. I. Sedov, “Estimation of the difference of spectral functions of the Legendre-type operators”, Fundam. Prikl. Mat., 6:4 (2000),  1075–1082  mathnet  mathscinet  zmath
16. V. V. Dubrovskii, A. S. Velikikh, “Inverse problem for an ordinary differential operator on $L_p$ ($p>2$)”, Fundam. Prikl. Mat., 6:2 (2000),  621–626  mathnet  mathscinet  zmath
17. V. V. Dubrovskii, V. V. Glekova, “A uniqueness theorem for the solution of inverse problems of spectral analysis”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, 3,  21–24  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 44:3 (2000), 19–22
18. V. V. Dubrovskii, S. A. Terent'ev, “Regularized traces of a perturbed Laplace–Beltrami operator on the unit two-dimensional sphere”, Mat. Zametki, 67:5 (2000),  702–705  mathnet  mathscinet  zmath; Math. Notes, 67:5 (2000), 596–598  isi
1999
19. V. V. Dubrovskii, E. A. Puzankova, “An estimate for the difference of spectral functions, and regularized trace formulas for a power of the Laplace operator defined on a triangle or a square, in $L_p$, $1\le p\le2$”, Differ. Uravn., 35:4 (1999),  552–555  mathnet  mathscinet; Differ. Equ., 35:4 (1999), 552–556
20. V. V. Dubrovskii, L. V. Smirnova, “On singularity of solution to inverse problems of spectral analysis expressed with equations of mathematical physics”, Fundam. Prikl. Mat., 5:2 (1999),  411–416  mathnet  mathscinet  zmath
21. V. V. Dubrovskii, A. I. Sedov, “An estimate for the difference of spectral functions of Gegenbauer-type operators in the norm of $L_q$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, 8,  20–25  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 43:8 (1999), 17–22
22. V. V. Dubrovskii, “Regularized traces of nonselfadjoint operators”, Mat. Zametki, 65:5 (1999),  783–787  mathnet  mathscinet  zmath; Math. Notes, 65:5 (1999), 658–662  isi
23. V. V. Dubrovskii, E. M. Maleko, “О сходимости формально-собственных чисел”, Vestnik Chelyabinsk. Gos. Univ., 1999, 4,  56–71  mathnet
1998
24. V. A. Sadovnichy, V. V. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, “Computation of the first eigenvalues of a boundary value problem on the hydrodynamic stability of a Poiseuille flow in a circular tube”, Differ. Uravn., 34:1 (1998),  50–53  mathnet  mathscinet; Differ. Equ., 34:1 (1998), 49–53
25. V. V. Dubrovskii, A. S. Velikikh, “Тhe theorem of restoration simmetrical potential in the reverse problem of spectral analysis for operator of Sturm–Liouville”, Fundam. Prikl. Mat., 4:2 (1998),  535–541  mathnet  mathscinet  zmath
1997
26. V. V. Dubrovskii, A. I. Sedov, “Asymptotics of the eigenvalues of a singular differential operator of Jacobi type”, Dokl. Akad. Nauk, 353:3 (1997),  295–299  mathnet  mathscinet  zmath
27. V. V. Dubrovskii, “An existence theorem in an inverse problem of spectral analysis”, Differ. Uravn., 33:12 (1997),  1702–1703  mathnet  mathscinet; Differ. Equ., 33:12 (1997), 1707–1709
28. V. V. Dubrovskii, “On an inequality in inverse problems of spectral analysis”, Differ. Uravn., 33:6 (1997),  843–844  mathnet  mathscinet; Differ. Equ., 33:6 (1997), 847–848
29. V. V. Dubrovskii, “A uniqueness theorem for the solution of inverse problems in spectral analysis”, Differ. Uravn., 33:3 (1997),  421–422  mathnet  mathscinet; Differ. Equ., 33:3 (1997), 423–425
1996
30. V. V. Dubrovskii, “Estimation of the difference of spectral functions with brackets on a diagonal for selfadjoint elliptic pseudodifferential operators in $l_q$ for $1\leq q\leq 2$”, Dokl. Akad. Nauk, 351:4 (1996),  452–453  mathnet  mathscinet  zmath
31. V. V. Dubrovskii, N. V. Semin, “Approximate formulas for regularized traces”, Dokl. Akad. Nauk, 350:5 (1996),  583–584  mathnet  mathscinet  zmath
32. V. V. Dubrovskii, “The regularized trace of a power of the Laplace operator with potential in the square”, Mat. Zametki, 60:1 (1996),  136–138  mathnet  mathscinet  zmath; Math. Notes, 60:1 (1996), 103–105  isi
33. V. V. Dubrovskii, “Reconstruction of a potential from the eigenvalues of various problems”, Uspekhi Mat. Nauk, 51:4(310) (1996),  155–156  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:4 (1996), 732–733  isi  scopus
34. V. V. Dubrovskii, “Global representations of the kernel of the resolvent of a non-self-adjoint operator in the Keldysh sense”, Uspekhi Mat. Nauk, 51:3(309) (1996),  199–200  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:3 (1996), 545–546  isi  scopus
1995
35. V. V. Dubrovskii, V. F. Kravchenko, N. V. Semin, “The Green function of the Laplace operator with mixed boundary conditions on an isosceles triangle”, Dokl. Akad. Nauk, 343:3 (1995),  314–316  mathnet  mathscinet
36. V. V. Dubrovskii, “Justification of a method for computing the eigenvalues of integral operators by means of trace theory”, Differ. Uravn., 31:10 (1995),  1762–1763  mathnet  mathscinet; Differ. Equ., 31:10 (1995), 1734–1735
37. V. V. Dubrovskii, “Non-classical applications of Laplace operator”, Fundam. Prikl. Mat., 1:2 (1995),  533–534  mathnet  mathscinet  zmath
1994
38. V. V. Dubrovskii, I. V. Tomina, “On the regularized trace for a power of the Laplace operator on an isosceles right triangle”, Differ. Uravn., 30:12 (1994),  2177–2179  mathnet  mathscinet; Differ. Equ., 30:12 (1994), 2001–2004
39. V. V. Dubrovskii, V. Kh. Aliverdiev, “Asymptotics of the eigenvalues of a singular differential operator”, Differ. Uravn., 30:1 (1994),  35–40  mathnet  mathscinet; Differ. Equ., 30:1 (1994), 29–34
40. V. V. Dubrovskii, “A remark on a theorem of M. V. Keldysh”, Uspekhi Mat. Nauk, 49:4(298) (1994),  163–164  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:4 (1994), 159–160  isi
41. V. V. Dubrovskii, “On stability of inverse problems of spectral analysis for equations of mathematical physics”, Uspekhi Mat. Nauk, 49:3(297) (1994),  171–172  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:3 (1994), 183–184  isi
42. V. V. Dubrovskii, V. F. Kravchenko, “An approach to solving interior spectral boundary-value problems”, Uspekhi Mat. Nauk, 49:1(295) (1994),  211–212  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:1 (1994), 227–228  isi
1993
43. V. V. Dubrovskii, A. S. Pechentsov, “On the asymptotics of the spectral function of selfadjoint pseudodifferential operators”, Differ. Uravn., 29:5 (1993),  852–858  mathnet  mathscinet; Differ. Equ., 29:5 (1993), 729–734
44. V. V. Dubrovskii, A. S. Pechentsov, “Regularized traces of higher-order elliptic operators”, Differ. Uravn., 29:1 (1993),  50–53  mathnet  mathscinet; Differ. Equ., 29:1 (1993), 42–44
45. V. V. Dubrovskii, “On the multidimensional inverse problem of spectral analysis”, Uspekhi Mat. Nauk, 48:4(292) (1993),  229–230  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:4 (1993), 241–243  isi
1992
46. V. V. Dubrovskii, A. V. Nagornyi, “An inverse problem for a power of the Laplace operator with potential from $L^2$”, Differ. Uravn., 28:9 (1992),  1552–1561  mathnet  mathscinet; Differ. Equ., 28:9 (1992), 1274–1282
47. V. V. Dubrovskii, E. Yu. Kunakova, “A formula for the first regularized trace of a power of the Laplace operator on a triangle”, Differ. Uravn., 28:7 (1992),  1274–1276  mathnet  mathscinet  zmath
48. V. V. Dubrovskii, A. V. Nagornyi, “Stability of the solution of inverse problems of spectral analysis”, Differ. Uravn., 28:5 (1992),  839–843  mathnet  mathscinet; Differ. Equ., 28:5 (1992), 683–686
49. V. V. Dubrovskii, “On the asymptotics of the spectral function of differential operators in $L_p(M)$”, Differ. Uravn., 28:1 (1992),  69–75  mathnet  mathscinet  zmath; Differ. Equ., 28:1 (1992), 68–73
1991
50. V. V. Dubrovskii, “Abstract formulas for regularized traces of elliptic smooth differential operators defined on compact manifolds”, Differ. Uravn., 27:12 (1991),  2164–2166  mathnet  mathscinet  zmath
51. V. V. Dubrovskii, “An abstract Gel'fand–Levitan formula”, Uspekhi Mat. Nauk, 46:3(279) (1991),  187–188  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:3 (1991), 217–218  isi
1990
52. V. V. Dubrovskii, “Regularized trace formulas for operators with compact resolvent”, Differ. Uravn., 26:12 (1990),  2046–2051  mathnet  mathscinet; Differ. Equ., 26:12 (1990), 1522–1528
53. V. V. Dubrovskii, A. V. Nagornyi, “On an inverse problem for the Laplace operator with continuous potential”, Differ. Uravn., 26:9 (1990),  1563–1567  mathnet  mathscinet  zmath; Differ. Equ., 26:9 (1990), 1156–1159
54. V. V. Dubrovskii, “Asymptotics of the spectral function of an ordinary differential operator”, Differ. Uravn., 26:3 (1990),  533–534  mathnet  mathscinet  zmath
1989
55. V. A. Sadovnichii, V. V. Dubrovskii, A. V. Nagornyi, “Asymptotics of the spectral function of a discrete operator”, Differ. Uravn., 25:8 (1989),  1340–1344  mathnet  mathscinet  zmath; Differ. Equ., 25:8 (1989), 951–954
1988
56. V. V. Dubrovskii, A. V. Nagornyi, “On an estimate for the difference of spectral functions of discrete operators in $L^2$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, 5,  44–47  mathnet  mathscinet  zmath
1984
57. V. V. Dubrovskii, “Formulas for regularized traces of second-order selfadjoint elliptic differential operators”, Differ. Uravn., 20:11 (1984),  1995–1998  mathnet  mathscinet  zmath
1982
58. V. A. Sadovnichii, V. V. Dubrovskii, V. A. Lyubishkin, “Traces of discrete operators”, Dokl. Akad. Nauk SSSR, 264:4 (1982),  830–832  mathnet  mathscinet  zmath
1980
59. V. V. Dubrovskii, “Regularized trace of the Sturm–Liouville operator”, Differ. Uravn., 16:6 (1980),  1127–1129  mathnet  mathscinet  zmath
1979
60. V. A. Sadovnichy, V. V. Dubrovskii, “Some properties of operators with a discrete spectrum”, Differ. Uravn., 15:7 (1979),  1206–1211  mathnet  mathscinet
1977
61. V. A. Sadovnichy, V. V. Dubrovskii, “Some relations for the eigenvalues of discrete operators. Trace formulas for partial differential operators”, Differ. Uravn., 13:11 (1977),  2033–2042  mathnet  mathscinet
62. V. A. Sadovnichy, V. V. Dubrovskii, “An abstract theorem of perturbation theory, regularized trace formulas, and the zeta function of operators”, Differ. Uravn., 13:7 (1977),  1264–1271  mathnet  mathscinet  zmath

2000
63. V. V. Dubrovskii, “Letter to the editor: “Regularized traces of nonselfadjoint operators””, Mat. Zametki, 67:2 (2000),  320  mathnet  mathscinet  zmath; Math. Notes, 67:2 (2000), 266  isi
1993
64. V. V. Dubrovskii, E. Yu. Kunakova, “Letter to the editors: “A formula for the first regularized trace of a power of the Laplace operator on a triangle” [Differentsial'nye Uravneniya 28 (1992), no. 7, 1274–1276, 1288] by Dubrovskiǐ and E. Yu. Kunakova”, Differ. Uravn., 29:4 (1993),  731  mathnet  mathscinet

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