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Dubrovskii Vladimir Vasil'evich

Publications in Math-Net.Ru

  1. Некоторые вопросы обратных задач спектрального анализа для степени оператора Якоби

    Vestnik Chelyabinsk. Gos. Univ., 2003, no. 7,  52–56
  2. 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, no. 6,  40–42
  3. An Approximate Regularized Trace Formula for an Ordinary Fourth-Order Differential Operator

    Differ. Uravn., 38:7 (2002),  979–981
  4. Correctness of Dorodnitsyn's Method for Approximate Calculation of Eigenvalues in a Class of Boundary Value Problems

    Differ. Uravn., 38:4 (2002),  471–476
  5. On the reconstruction of the potential in the inverse Robin problem

    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 7,  8–13
  6. Регуляризованные следы возмущенного оператора

    Vestnik Chelyabinsk. Gos. Univ., 2002, no. 6,  35–37
  7. A new approach to Fourier method in mixed problem for one singular differential operator

    Fundam. Prikl. Mat., 7:3 (2001),  935–938
  8. On the asymptotics of spectral function for ordinary differential selfadjoint operator

    Fundam. Prikl. Mat., 7:1 (2001),  271–274
  9. Inverse Problems of Spectral Analysis and Carleson Interpolation

    Mat. Zametki, 70:3 (2001),  468–471
  10. Regularized traces of unitary operators

    Uspekhi Mat. Nauk, 56:6(342) (2001),  145–146
  11. 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
  12. On the existence theorem for solutions to the inverse problem of spectral analysis

    Uspekhi Mat. Nauk, 56:1(337) (2001),  161–162
  13. The Inverse Problem of Spectral Analysis for a Power of the Laplace Operator in the Rectangle

    Differ. Uravn., 36:12 (2000),  1695–1698
  14. 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
  15. Estimation of the difference of spectral functions of the Legendre-type operators

    Fundam. Prikl. Mat., 6:4 (2000),  1075–1082
  16. Inverse problem for an ordinary differential operator on $L_p$ ($p>2$)

    Fundam. Prikl. Mat., 6:2 (2000),  621–626
  17. A uniqueness theorem for the solution of inverse problems of spectral analysis

    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 3,  21–24
  18. Regularized traces of a perturbed Laplace–Beltrami operator on the unit two-dimensional sphere

    Mat. Zametki, 67:5 (2000),  702–705
  19. 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
  20. On singularity of solution to inverse problems of spectral analysis expressed with equations of mathematical physics

    Fundam. Prikl. Mat., 5:2 (1999),  411–416
  21. An estimate for the difference of spectral functions of Gegenbauer-type operators in the norm of $L_q$

    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 8,  20–25
  22. Regularized traces of nonselfadjoint operators

    Mat. Zametki, 65:5 (1999),  783–787
  23. О сходимости формально-собственных чисел

    Vestnik Chelyabinsk. Gos. Univ., 1999, no. 4,  56–71
  24. 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
  25. 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
  26. Asymptotics of the eigenvalues of a singular differential operator of Jacobi type

    Dokl. Akad. Nauk, 353:3 (1997),  295–299
  27. An existence theorem in an inverse problem of spectral analysis

    Differ. Uravn., 33:12 (1997),  1702–1703
  28. On an inequality in inverse problems of spectral analysis

    Differ. Uravn., 33:6 (1997),  843–844
  29. A uniqueness theorem for the solution of inverse problems in spectral analysis

    Differ. Uravn., 33:3 (1997),  421–422
  30. 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
  31. Approximate formulas for regularized traces

    Dokl. Akad. Nauk, 350:5 (1996),  583–584
  32. The regularized trace of a power of the Laplace operator with potential in the square

    Mat. Zametki, 60:1 (1996),  136–138
  33. Reconstruction of a potential from the eigenvalues of various problems

    Uspekhi Mat. Nauk, 51:4(310) (1996),  155–156
  34. 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
  35. The Green function of the Laplace operator with mixed boundary conditions on an isosceles triangle

    Dokl. Akad. Nauk, 343:3 (1995),  314–316
  36. Justification of a method for computing the eigenvalues of integral operators by means of trace theory

    Differ. Uravn., 31:10 (1995),  1762–1763
  37. Non-classical applications of Laplace operator

    Fundam. Prikl. Mat., 1:2 (1995),  533–534
  38. On the regularized trace for a power of the Laplace operator on an isosceles right triangle

    Differ. Uravn., 30:12 (1994),  2177–2179
  39. Asymptotics of the eigenvalues of a singular differential operator

    Differ. Uravn., 30:1 (1994),  35–40
  40. A remark on a theorem of M. V. Keldysh

    Uspekhi Mat. Nauk, 49:4(298) (1994),  163–164
  41. On stability of inverse problems of spectral analysis for equations of mathematical physics

    Uspekhi Mat. Nauk, 49:3(297) (1994),  171–172
  42. An approach to solving interior spectral boundary-value problems

    Uspekhi Mat. Nauk, 49:1(295) (1994),  211–212
  43. On the asymptotics of the spectral function of selfadjoint pseudodifferential operators

    Differ. Uravn., 29:5 (1993),  852–858
  44. Regularized traces of higher-order elliptic operators

    Differ. Uravn., 29:1 (1993),  50–53
  45. On the multidimensional inverse problem of spectral analysis

    Uspekhi Mat. Nauk, 48:4(292) (1993),  229–230
  46. An inverse problem for a power of the Laplace operator with potential from $L^2$

    Differ. Uravn., 28:9 (1992),  1552–1561
  47. A formula for the first regularized trace of a power of the Laplace operator on a triangle

    Differ. Uravn., 28:7 (1992),  1274–1276
  48. Stability of the solution of inverse problems of spectral analysis

    Differ. Uravn., 28:5 (1992),  839–843
  49. On the asymptotics of the spectral function of differential operators in $L_p(M)$

    Differ. Uravn., 28:1 (1992),  69–75
  50. Abstract formulas for regularized traces of elliptic smooth differential operators defined on compact manifolds

    Differ. Uravn., 27:12 (1991),  2164–2166
  51. An abstract Gel'fand–Levitan formula

    Uspekhi Mat. Nauk, 46:3(279) (1991),  187–188
  52. Regularized trace formulas for operators with compact resolvent

    Differ. Uravn., 26:12 (1990),  2046–2051
  53. On an inverse problem for the Laplace operator with continuous potential

    Differ. Uravn., 26:9 (1990),  1563–1567
  54. Asymptotics of the spectral function of an ordinary differential operator

    Differ. Uravn., 26:3 (1990),  533–534
  55. Asymptotics of the spectral function of a discrete operator

    Differ. Uravn., 25:8 (1989),  1340–1344
  56. On an estimate for the difference of spectral functions of discrete operators in $L^2$

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 5,  44–47
  57. Formulas for regularized traces of second-order selfadjoint elliptic differential operators

    Differ. Uravn., 20:11 (1984),  1995–1998
  58. Traces of discrete operators

    Dokl. Akad. Nauk SSSR, 264:4 (1982),  830–832
  59. Regularized trace of the Sturm–Liouville operator

    Differ. Uravn., 16:6 (1980),  1127–1129
  60. Some properties of operators with a discrete spectrum

    Differ. Uravn., 15:7 (1979),  1206–1211
  61. Some relations for the eigenvalues of discrete operators. Trace formulas for partial differential operators

    Differ. Uravn., 13:11 (1977),  2033–2042
  62. An abstract theorem of perturbation theory, regularized trace formulas, and the zeta function of operators

    Differ. Uravn., 13:7 (1977),  1264–1271

  63. Letter to the editor: “Regularized traces of nonselfadjoint operators”

    Mat. Zametki, 67:2 (2000),  320
  64. 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

© Steklov Math. Inst. of RAS, 2025