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Kostyuchenko, Anatolii Gordeevich
(1931–2010)
Statistics Math-Net.Ru
Total publications: 55
Scientific articles: 52

Number of views:
This page:3456
Abstract pages:23944
Full texts:9151
References:2097
Professor
Doctor of physico-mathematical sciences (1966)
Birth date: 19.04.1931

https://www.mathnet.ru/eng/person8975
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/191847

Publications in Math-Net.Ru Citations
2010
1. R. S. Ismagilov, A. G. Kostyuchenko, “Spectral Asymptotics for the Sturm–Liouville Operator with Point Interaction”, Funktsional. Anal. i Prilozhen., 44:4 (2010),  14–20  mathnet  mathscinet  zmath; Funct. Anal. Appl., 44:4 (2010), 253–258  isi  scopus 13
2009
2. R. S. Ismagilov, A. G. Kostyuchenko, “Perturbation of the Spectrum of a Differential Operator under a Bounded Perturbation of the Potential”, Funktsional. Anal. i Prilozhen., 43:3 (2009),  54–64  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 43:3 (2009), 208–216  isi  scopus 3
2008
3. R. S. Ismagilov, A. G. Kostyuchenko, “On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm–Liouville Operator”, Funktsional. Anal. i Prilozhen., 42:2 (2008),  11–22  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 42:2 (2008), 89–97  isi  elib  scopus 5
2007
4. R. S. Ismagilov, A. G. Kostyuchenko, “On the Spectrum of a Vector Schrödinger Operator”, Funktsional. Anal. i Prilozhen., 41:1 (2007),  39–51  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 41:1 (2007), 31–41  isi  scopus 8
2001
5. A. G. Kostyuchenko, K. A. Mirzoev, “Complete Indefiniteness Tests for Jacobi Matrices with Matrix Entries”, Funktsional. Anal. i Prilozhen., 35:4 (2001),  32–37  mathnet  mathscinet  zmath; Funct. Anal. Appl., 35:4 (2001), 265–269  isi  scopus 37
1999
6. A. G. Kostyuchenko, A. A. Stepanov, “Infinite-Dimensional Elliptic Coordinates”, Funktsional. Anal. i Prilozhen., 33:4 (1999),  73–78  mathnet  mathscinet  zmath; Funct. Anal. Appl., 33:4 (1999), 300–303  isi 6
7. A. G. Kostyuchenko, K. A. Mirzoev, “Generalized Jacobi Matrices and Deficiency Numbers of Ordinary Differential Operators with Polynomial Coefficients”, Funktsional. Anal. i Prilozhen., 33:1 (1999),  30–45  mathnet  mathscinet  zmath; Funct. Anal. Appl., 33:1 (1999), 25–37  isi 47
8. A. G. Kostyuchenko, E. D. Nursultanov, “On integral operators in $L_p$-spaces”, Fundam. Prikl. Mat., 5:2 (1999),  475–491  mathnet  mathscinet  zmath 6
1998
9. A. G. Kostyuchenko, A. A. Shkalikov, M. Yu. Yurkin, “On the Stability of a Top with a Cavity Filled with a Viscous Fluid”, Funktsional. Anal. i Prilozhen., 32:2 (1998),  36–55  mathnet  mathscinet  zmath; Funct. Anal. Appl., 32:2 (1998), 100–113  isi 15
10. A. G. Kostyuchenko, K. A. Mirzoev, “Three-term recurrence relations with matrix coefficients. The completely indefinite case”, Mat. Zametki, 63:5 (1998),  709–716  mathnet  mathscinet  zmath; Math. Notes, 63:5 (1998), 624–630  isi 33
11. A. G. Kostyuchenko, E. D. Nursultanov, “Theory of control of “catastrophes””, Uspekhi Mat. Nauk, 53:3(321) (1998),  199–200  mathnet  mathscinet  zmath; Russian Math. Surveys, 53:3 (1998), 628–629  isi 4
1996
12. A. G. Kostyuchenko, K. A. Mirzoev, “A criterion for the complete indeterminacy of three-term recurrence relations”, Uspekhi Mat. Nauk, 51:6(312) (1996),  207–208  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:6 (1996), 1208–1209  isi  scopus 1
1991
13. K. Kh. Boimatov, A. G. Kostyuchenko, “Trace formula for polynomial operator pencils and its applications”, Funktsional. Anal. i Prilozhen., 25:4 (1991),  90–92  mathnet  mathscinet  zmath; Funct. Anal. Appl., 25:4 (1991), 306–308  isi 1
14. K. Kh. Boimatov, A. G. Kostyuchenko, “Spectral asymptotics of polynomial pencils of differential operators in bounded domains”, Funktsional. Anal. i Prilozhen., 25:1 (1991),  7–20  mathnet  mathscinet  zmath; Funct. Anal. Appl., 25:1 (1991), 5–16  isi 7
1990
15. K. Kh. Boimatov, A. G. Kostyuchenko, “Spectral asymptotics of polynomial pencils of differential operators”, Dokl. Akad. Nauk SSSR, 313:5 (1990),  1036–1040  mathnet  mathscinet  zmath; Dokl. Math., 42:1 (1991), 120–124 2
16. K. Kh. Boimatov, A. G. Kostyuchenko, “Spectral asymptotics of polynomial pencils of differential operators on a compact manifold without boundary”, Funktsional. Anal. i Prilozhen., 24:2 (1990),  76–78  mathnet  mathscinet  zmath; Funct. Anal. Appl., 24:2 (1990), 146–148  isi 3
17. K. Kh. Boimatov, A. G. Kostyuchenko, “Spectral asymptotics of non-self-adjoint elliptic systems of differential operators in bounded domains”, Funktsional. Anal. i Prilozhen., 24:1 (1990),  64–66  mathnet  mathscinet  zmath; Funct. Anal. Appl., 24:1 (1991), 54–57  isi 6
18. K. Kh. Boimatov, A. G. Kostyuchenko, “Spectral asymptotics of polynomial pencils of differential operators”, Mat. Zametki, 47:3 (1990),  129–130  mathnet  mathscinet  zmath 2
19. K. Kh. Boimatov, A. G. Kostyuchenko, “Spectral asymptotics of nonselfadjoint elliptic systems of differential operators on bounded domains”, Mat. Sb., 181:12 (1990),  1678–1693  mathnet  mathscinet  zmath; Math. USSR-Sb., 71:2 (1992), 517–531  isi 16
20. K. Kh. Boimatov, A. G. Kostyuchenko, “Distribution of eigenvalues of second-order nonselfadjoint differential operators”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 3,  24–31  mathnet  mathscinet  zmath 5
1989
21. K. Kh. Boimatov, A. G. Kostyuchenko, “Eigenvalues of the equation $Au=\lambda Bu$ on a compact manifold without boundary”, Funktsional. Anal. i Prilozhen., 23:1 (1989),  63–64  mathnet  mathscinet  zmath; Funct. Anal. Appl., 23:1 (1989), 52–53  isi 2
1988
22. K. Kh. Boimatov, A. G. Kostyuchenko, “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  mathnet  mathscinet  zmath 1
1986
23. K. Kh. Boimatov, A. G. Kostyuchenko, “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  mathnet  mathscinet  zmath 1
1985
24. K. Kh. Boimatov, A. G. Kostyuchenko, “A spectral asymptotics of an elliptic operator in a bounded domain”, Funktsional. Anal. i Prilozhen., 19:2 (1985),  67–69  mathnet  mathscinet  zmath; Funct. Anal. Appl., 19:2 (1985), 136–138  isi 2
1984
25. K. Kh. Boimatov, A. G. Kostyuchenko, “Distribution of the eigenvalues of the equation $Au=\lambda Bu$ in the whole space”, Dokl. Akad. Nauk SSSR, 277:6 (1984),  1292–1295  mathnet  mathscinet  zmath
1983
26. A. G. Kostyuchenko, A. A. Shkalikov, “Self-adjoint quadratic operator pencils and elliptic problems”, Funktsional. Anal. i Prilozhen., 17:2 (1983),  38–61  mathnet  mathscinet  zmath; Funct. Anal. Appl., 17:2 (1983), 109–128  isi 58
27. A. G. Kostyuchenko, A. A. Shkalikov, “On the theory of selfadjoint quadratic operator pencils”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 6,  40–51  mathnet  mathscinet  zmath 2
1978
28. K. Kh. Boimatov, A. G. Kostyuchenko, “The asymptotic behavior of Riesz means of the spectral function of an elliptic operator”, Dokl. Akad. Nauk SSSR, 241:3 (1978),  517–520  mathnet  mathscinet  zmath 1
29. A. G. Kostyuchenko, A. A. Shkalikov, “Summability of eigenfunction expansions of differential operators and convolution operators”, Funktsional. Anal. i Prilozhen., 12:4 (1978),  24–40  mathnet  mathscinet  zmath; Funct. Anal. Appl., 12:4 (1978), 262–276 12
1977
30. A. G. Kostyuchenko, M. B. Orazov, “The completeness of root vectors in certain self-adjoint quadratic bundles”, Funktsional. Anal. i Prilozhen., 11:4 (1977),  85–87  mathnet  mathscinet  zmath; Funct. Anal. Appl., 11:4 (1977), 317–319 7
1975
31. A. G. Kostyuchenko, M. B. Orazov, “Certain properties of the roots of a self-adjoint quadratic pencil”, Funktsional. Anal. i Prilozhen., 9:4 (1975),  28–40  mathnet  mathscinet  zmath; Funct. Anal. Appl., 9:4 (1975), 295–305 17
1974
32. A. G. Kostyuchenko, G. V. Radzievskii, “The summability by Abel's method of $n$-tuple expansions”, Sibirsk. Mat. Zh., 15:4 (1974),  855–870  mathnet  mathscinet  zmath 6
1973
33. A. G. Kostyuchenko, B. S. Mityagin, “Holomorphic fiberings and multivalued functions of elements of a Banach algebra”, Funktsional. Anal. i Prilozhen., 7:2 (1973),  32–42  mathnet  mathscinet  zmath; Funct. Anal. Appl., 7:2 (1973), 113–121 4
34. V. P. Belogrud', A. G. Kostyuchenko, “The density of the spectrum of a Sturm–Liouville operator”, Uspekhi Mat. Nauk, 28:2(170) (1973),  227–228  mathnet  mathscinet  zmath 2
1967
35. M. M. Gekhtman, A. G. Kostyuchenko, “Complex eigenvalues of a non-selfadjoint operator”, Differ. Uravn., 3:3 (1967),  509–513  mathnet  mathscinet  zmath 1
36. A. G. Kostyuchenko, B. M. Levitan, “Asymptotic behavior of the eigenvalues of the Sturm–Liouville operator problem”, Funktsional. Anal. i Prilozhen., 1:1 (1967),  86–96  mathnet  mathscinet  zmath; Funct. Anal. Appl., 1:1 (1967), 75–83 32
37. A. G. Kostyuchenko, “Some spectral properties of differential operators”, Mat. Zametki, 1:3 (1967),  365–378  mathnet  mathscinet  zmath; Math. Notes, 1:3 (1967), 242–250 3
1966
38. A. G. Kostyuchenko, “Asymptotic behavior of the spectral function of a singular differential operator of order $2m$”, Dokl. Akad. Nauk SSSR, 168:2 (1966),  276–279  mathnet  mathscinet  zmath 4
39. A. G. Kostyuchenko, “Distribution of eigenvalues of singular differential operators”, Dokl. Akad. Nauk SSSR, 168:1 (1966),  21–24  mathnet  mathscinet  zmath 5
1964
40. A. G. Kostyuchenko, “The asymptotic distribution of eigenvalues of elliptic operators”, Dokl. Akad. Nauk SSSR, 158:1 (1964),  41–44  mathnet  mathscinet  zmath 5
1961
41. A. G. Kostyuchenko, G. I. Èskin, “The Cauchy problem for Sobolev–Gal'pern equations”, Tr. Mosk. Mat. Obs., 10 (1961),  273–284  mathnet  mathscinet  zmath 6
1960
42. A. G. Kostyuchenko, “An estimate of the resolvents of singular elliptic operators”, Dokl. Akad. Nauk SSSR, 132:1 (1960),  32–35  mathnet  mathscinet  zmath 1
43. A. G. Kostyuchenko, B. S. Mityagin, “Multidimensional moment problem”, Dokl. Akad. Nauk SSSR, 131:6 (1960),  1249–1252  mathnet  mathscinet  zmath 1
44. A. G. Kostyuchenko, B. S. Mityagin, “Positive definite functionals on nuclear spaces”, Dokl. Akad. Nauk SSSR, 131:1 (1960),  13–16  mathnet  mathscinet  zmath 1
45. A. G. Kostyuchenko, B. S. Mityagin, “Positive-definite functionals on nuclear spaces”, Tr. Mosk. Mat. Obs., 9 (1960),  283–316  mathnet  mathscinet  zmath 6
46. A. G. Kostyuchenko, G. I. Èskin, “Sobolev–Gal'pern equations”, Uspekhi Mat. Nauk, 15:2(92) (1960),  211–212  mathnet
47. A. G. Kostyuchenko, B. S. Mityagin, “Positive-definite functionals on nuclear spaces”, Uspekhi Mat. Nauk, 15:1(91) (1960),  244–246  mathnet
1957
48. A. G. Kostyuchenko, “On the spectral properties of elliptical operators”, Dokl. Akad. Nauk SSSR, 115:1 (1957),  34–37  mathnet  mathscinet  zmath 1
49. A. G. Kostyuchenko, “On the behaviour of the eigenfunctions of the selfadjoint operators”, Dokl. Akad. Nauk SSSR, 114:2 (1957),  249–251  mathnet  mathscinet  zmath 1
1954
50. A. G. Kostyuchenko, G. E. Shilov, “On the solution of Cauchy's problem for regular systems of linear partial differential equations”, Uspekhi Mat. Nauk, 9:3(61) (1954),  141–148  mathnet  mathscinet  zmath 3
1953
51. A. G. Kostyuchenko, A. V. Skorokhod, “On a theorem of N. K. Bari”, Uspekhi Mat. Nauk, 8:5(57) (1953),  165–166  mathnet  mathscinet  zmath 1
52. A. G. Kostyuchenko, “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  mathnet  mathscinet  zmath 1
2009
53. V. V. Aleksandrov, V. P. Karlikov, A. G. Kostyuchenko, V. E. Podolskii, A. T. Fomenko, V. N. Chubarikov, A. A. Shkalikov, “Viktor Antonovitch Sadovnichii (to 70th anniversary of the birthday)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3,  3–6  mathnet  mathscinet
1999
54. M. S. Agranovich, V. I. Arnol'd, D. G. Vasil'ev, M. I. Vishik, I. M. Gel'fand, A. G. Kostyuchenko, L. D. Kudryavtsev, “Victor Borisovich Lidskii (on his 75th birthday)”, Uspekhi Mat. Nauk, 54:5(329) (1999),  197–203  mathnet  mathscinet  zmath; Russian Math. Surveys, 54:5 (1999), 1077–1085  isi
1971
55. I. M. Gel'fand, A. G. Kostyuchenko, B. M. Levitan, Ya. B. Lopatinskii, S. L. Sobolev, G. E. Shilov, “Zaid Ismailovich Khalilov (on the occasion of his sixtieth birthday)”, Uspekhi Mat. Nauk, 26:3(159) (1971),  221–224  mathnet  mathscinet  zmath; Russian Math. Surveys, 26:3 (1971), 185–188

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