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Kostyuchenko Anatolii Gordeevich

Publications in Math-Net.Ru

  1. Spectral Asymptotics for the Sturm–Liouville Operator with Point Interaction

    Funktsional. Anal. i Prilozhen., 44:4 (2010),  14–20
  2. Perturbation of the Spectrum of a Differential Operator under a Bounded Perturbation of the Potential

    Funktsional. Anal. i Prilozhen., 43:3 (2009),  54–64
  3. On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm–Liouville Operator

    Funktsional. Anal. i Prilozhen., 42:2 (2008),  11–22
  4. On the Spectrum of a Vector Schrödinger Operator

    Funktsional. Anal. i Prilozhen., 41:1 (2007),  39–51
  5. Complete Indefiniteness Tests for Jacobi Matrices with Matrix Entries

    Funktsional. Anal. i Prilozhen., 35:4 (2001),  32–37
  6. Infinite-Dimensional Elliptic Coordinates

    Funktsional. Anal. i Prilozhen., 33:4 (1999),  73–78
  7. Generalized Jacobi Matrices and Deficiency Numbers of Ordinary Differential Operators with Polynomial Coefficients

    Funktsional. Anal. i Prilozhen., 33:1 (1999),  30–45
  8. On integral operators in $L_p$-spaces

    Fundam. Prikl. Mat., 5:2 (1999),  475–491
  9. On the Stability of a Top with a Cavity Filled with a Viscous Fluid

    Funktsional. Anal. i Prilozhen., 32:2 (1998),  36–55
  10. Three-term recurrence relations with matrix coefficients. The completely indefinite case

    Mat. Zametki, 63:5 (1998),  709–716
  11. Theory of control of “catastrophes”

    Uspekhi Mat. Nauk, 53:3(321) (1998),  199–200
  12. A criterion for the complete indeterminacy of three-term recurrence relations

    Uspekhi Mat. Nauk, 51:6(312) (1996),  207–208
  13. Trace formula for polynomial operator pencils and its applications

    Funktsional. Anal. i Prilozhen., 25:4 (1991),  90–92
  14. Spectral asymptotics of polynomial pencils of differential operators in bounded domains

    Funktsional. Anal. i Prilozhen., 25:1 (1991),  7–20
  15. Spectral asymptotics of polynomial pencils of differential operators

    Dokl. Akad. Nauk SSSR, 313:5 (1990),  1036–1040
  16. Spectral asymptotics of polynomial pencils of differential operators on a compact manifold without boundary

    Funktsional. Anal. i Prilozhen., 24:2 (1990),  76–78
  17. Spectral asymptotics of non-self-adjoint elliptic systems of differential operators in bounded domains

    Funktsional. Anal. i Prilozhen., 24:1 (1990),  64–66
  18. Spectral asymptotics of polynomial pencils of differential operators

    Mat. Zametki, 47:3 (1990),  129–130
  19. Spectral asymptotics of nonselfadjoint elliptic systems of differential operators on bounded domains

    Mat. Sb., 181:12 (1990),  1678–1693
  20. Distribution of eigenvalues of second-order nonselfadjoint differential operators

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 3,  24–31
  21. Eigenvalues of the equation $Au=\lambda Bu$ on a compact manifold without boundary

    Funktsional. Anal. i Prilozhen., 23:1 (1989),  63–64
  22. Uniqueness of solution of the Cauchy problem for second-order parabolic equations with increasing coefficients

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 4,  25–32
  23. The effect of lowest coefficients of an elliptic differential operator on the spectral function

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 2,  15–23
  24. A spectral asymptotics of an elliptic operator in a bounded domain

    Funktsional. Anal. i Prilozhen., 19:2 (1985),  67–69
  25. Distribution of the eigenvalues of the equation $Au=\lambda Bu$ in the whole space

    Dokl. Akad. Nauk SSSR, 277:6 (1984),  1292–1295
  26. Self-adjoint quadratic operator pencils and elliptic problems

    Funktsional. Anal. i Prilozhen., 17:2 (1983),  38–61
  27. On the theory of selfadjoint quadratic operator pencils

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 6,  40–51
  28. The asymptotic behavior of Riesz means of the spectral function of an elliptic operator

    Dokl. Akad. Nauk SSSR, 241:3 (1978),  517–520
  29. Summability of eigenfunction expansions of differential operators and convolution operators

    Funktsional. Anal. i Prilozhen., 12:4 (1978),  24–40
  30. The completeness of root vectors in certain self-adjoint quadratic bundles

    Funktsional. Anal. i Prilozhen., 11:4 (1977),  85–87
  31. Certain properties of the roots of a self-adjoint quadratic pencil

    Funktsional. Anal. i Prilozhen., 9:4 (1975),  28–40
  32. The summability by Abel's method of $n$-tuple expansions

    Sibirsk. Mat. Zh., 15:4 (1974),  855–870
  33. Holomorphic fiberings and multivalued functions of elements of a Banach algebra

    Funktsional. Anal. i Prilozhen., 7:2 (1973),  32–42
  34. The density of the spectrum of a Sturm–Liouville operator

    Uspekhi Mat. Nauk, 28:2(170) (1973),  227–228
  35. Complex eigenvalues of a non-selfadjoint operator

    Differ. Uravn., 3:3 (1967),  509–513
  36. Asymptotic behavior of the eigenvalues of the Sturm–Liouville operator problem

    Funktsional. Anal. i Prilozhen., 1:1 (1967),  86–96
  37. Some spectral properties of differential operators

    Mat. Zametki, 1:3 (1967),  365–378
  38. Asymptotic behavior of the spectral function of a singular differential operator of order $2m$

    Dokl. Akad. Nauk SSSR, 168:2 (1966),  276–279
  39. Distribution of eigenvalues of singular differential operators

    Dokl. Akad. Nauk SSSR, 168:1 (1966),  21–24
  40. The asymptotic distribution of eigenvalues of elliptic operators

    Dokl. Akad. Nauk SSSR, 158:1 (1964),  41–44
  41. The Cauchy problem for Sobolev–Gal'pern equations

    Tr. Mosk. Mat. Obs., 10 (1961),  273–284
  42. An estimate of the resolvents of singular elliptic operators

    Dokl. Akad. Nauk SSSR, 132:1 (1960),  32–35
  43. Multidimensional moment problem

    Dokl. Akad. Nauk SSSR, 131:6 (1960),  1249–1252
  44. Positive definite functionals on nuclear spaces

    Dokl. Akad. Nauk SSSR, 131:1 (1960),  13–16
  45. Positive-definite functionals on nuclear spaces

    Tr. Mosk. Mat. Obs., 9 (1960),  283–316
  46. Sobolev–Gal'pern equations

    Uspekhi Mat. Nauk, 15:2(92) (1960),  211–212
  47. Positive-definite functionals on nuclear spaces

    Uspekhi Mat. Nauk, 15:1(91) (1960),  244–246
  48. On the spectral properties of elliptical operators

    Dokl. Akad. Nauk SSSR, 115:1 (1957),  34–37
  49. On the behaviour of the eigenfunctions of the selfadjoint operators

    Dokl. Akad. Nauk SSSR, 114:2 (1957),  249–251
  50. On the solution of Cauchy's problem for regular systems of linear partial differential equations

    Uspekhi Mat. Nauk, 9:3(61) (1954),  141–148
  51. On a theorem of N. K. Bari

    Uspekhi Mat. Nauk, 8:5(57) (1953),  165–166
  52. On a connection between the structure of an $(n-1)$-dimensional surface and its principal curvatures

    Uspekhi Mat. Nauk, 8:5(57) (1953),  161–164

  53. Viktor Antonovitch Sadovnichii (to 70th anniversary of the birthday)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3,  3–6
  54. Victor Borisovich Lidskii (on his 75th birthday)

    Uspekhi Mat. Nauk, 54:5(329) (1999),  197–203
  55. Zaid Ismailovich Khalilov (on the occasion of his sixtieth birthday)

    Uspekhi Mat. Nauk, 26:3(159) (1971),  221–224

© Steklov Math. Inst. of RAS, 2025