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Alimov, Shavkat Arifdzhanovich
Statistics Math-Net.Ru
Total publications: 51
Scientific articles: 46

Number of views:
This page:5152
Abstract pages:14140
Full texts:7226
References:518
academician of Academy of Sciences of Republic of Uzbekistan
Professor
Doctor of physico-mathematical sciences (1973)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 2.03.1945
E-mail:
Website: https://letopis.msu.ru/peoples/4493; https://kary-niyazov.uz/ru/shavkat-orifzhonovich-alimov-07-03/
   
Main publications:
  • Printsip szhatykh otobrazhenii : (Metody prikl. analiza) / Sh. A. Alimov. - Moskva : Znanie, 1983. - 63 s.

https://www.mathnet.ru/eng/person20253
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/192772

Publications in Math-Net.Ru Citations
2024
1. Sh. A. Alimov, G. I. Ibragimov, “Time optimal control problem with integral constraint for the heat transfer process”, Eurasian Math. J., 15:1 (2024),  8–22  mathnet
2023
2. Sh. A. Alimov, R. R. Ashurov, O. S. Zikirov, B. I. Islomov, T. Sh. Kal'menov, A. P. Soldatov, A. K. Urinov, V. E. Fedorov, T. K. Yuldashev, “Makhmud Salakhitdinovich Salakhitdinov”, Chelyab. Fiz.-Mat. Zh., 8:4 (2023),  463–468  mathnet
2011
3. Sh. Alimov, “On the null-controllability of the heat exchange process”, Eurasian Math. J., 2:3 (2011),  5–19  mathnet  mathscinet  zmath 6
2010
4. Sh. Alimov, “On a control problem associated with the heat transfer process”, Eurasian Math. J., 1:2 (2010),  17–30  mathnet  mathscinet  zmath 5
2006
5. Sh. A. Alimov, “Dependence of the Convergence Domain of Spectral Expansions on the Geometry of the Set of Discontinuity of the Function Being Expanded”, Mat. Zametki, 79:2 (2006),  178–193  mathnet  mathscinet  zmath  elib; Math. Notes, 79:2 (2006), 165–177  isi  scopus 4
1997
6. Sh. A. Alimov, A. A. Rakhimov, “On the localization of spectral expansions of distributions in a closed domain”, Differ. Uravn., 33:1 (1997),  80–82  mathnet  mathscinet; Differ. Equ., 33:1 (1997), 80–82
1996
7. Sh. A. Alimov, A. A. Rakhimov, “On the localization of spectral expansions of distributions”, Differ. Uravn., 32:6 (1996),  792–796  mathnet  mathscinet; Differ. Equ., 32:6 (1996), 798–802
1995
8. Sh. A. Alimov, “On the absolute convergence of spectral expansions”, Dokl. Akad. Nauk, 342:4 (1995),  446–448  mathnet  mathscinet  zmath
1993
9. Sh. A. Alimov, “Spectral expansions of distributions”, Dokl. Akad. Nauk, 331:6 (1993),  661–662  mathnet  mathscinet  zmath; Dokl. Math., 48:1 (1994), 175–177 1
10. Sh. A. Alimov, S. A. Safaev, “On the number of negative eigenvalues of the Schrödinger operator”, Differ. Uravn., 29:10 (1993),  1818–1821  mathnet  mathscinet; Differ. Equ., 29:10 (1993), 1579–1582
1989
11. Sh. A. Alimov, T. Sh. Shirinkulov, “Solution of contact problems in creep theory”, Differ. Uravn., 25:9 (1989),  1584–1588  mathnet  mathscinet; Differ. Equ., 25:9 (1989), 1120–1124
12. Sh. A. Alimov, R. R. Ashurov, A. K. Pulatov, “Multiple series and Fourier integrals”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 42 (1989),  7–104  mathnet  mathscinet  zmath 7
1987
13. Sh. A. Alimov, “On smoothness of the solution of a degenerate problem with a directional derivative”, Differ. Uravn., 23:1 (1987),  10–22  mathnet  mathscinet
14. Sh. A. Alimov, “On the membership of the gradient of a harmonic function in S. M. Nikol'skij's class”, Trudy Mat. Inst. Steklov., 180 (1987),  25–27  mathnet  zmath; Proc. Steklov Inst. Math., 180 (1989), 25–27
1986
15. Sh. A. Alimov, “A spectral problem of Bitsadze–Samarskii”, Dokl. Akad. Nauk SSSR, 287:6 (1986),  1289–1290  mathnet  mathscinet  zmath 1
1982
16. Sh. A. Alimov, “On the smoothness of the solution of a problem with oblique derivative”, Dokl. Akad. Nauk SSSR, 264:2 (1982),  265–266  mathnet  mathscinet  zmath
1981
17. Sh. A. Alimov, “On a problem with an oblique derivative”, Differ. Uravn., 17:10 (1981),  1738–1751  mathnet  mathscinet 5
1980
18. Sh. A. Alimov, “On a boundary value problem for an elliptic operator”, Dokl. Akad. Nauk SSSR, 253:2 (1980),  265–266  mathnet  mathscinet  zmath 1
19. Sh. A. Alimov, “On a boundary value problem”, Dokl. Akad. Nauk SSSR, 252:5 (1980),  1033–1034  mathnet  mathscinet  zmath 1
1978
20. Sh. A. Alimov, “The expandability of continuous functions of Sobolev classes in eigenfunctions of the Laplace operator”, Sibirsk. Mat. Zh., 19:4 (1978),  721–734  mathnet  mathscinet  zmath; Siberian Math. J., 19:4 (1978), 507–517  isi 2
1977
21. Sh. A. Alimov, V. A. Il'in, E. M. Nikishin, “Problems of convergence of multiple trigonometric series and spectral decompositions. II”, Uspekhi Mat. Nauk, 32:1(193) (1977),  107–130  mathnet  mathscinet  zmath; Russian Math. Surveys, 32:1 (1977), 115–139 17
1976
22. Sh. A. Alimov, “On the Riesz means of functions in Lipschitz classes”, Dokl. Akad. Nauk SSSR, 231:1 (1976),  11–13  mathnet  mathscinet  zmath
23. Sh. A. Alimov, “On spectral decompositions of continuous functions in Sobolev classes”, Dokl. Akad. Nauk SSSR, 229:3 (1976),  529–530  mathnet  mathscinet  zmath 1
24. Sh. A. Alimov, “The work of A. N. Tikhonov on inverse problems for the Sturm–Liouville equation”, Uspekhi Mat. Nauk, 31:6(192) (1976),  84–88  mathnet  mathscinet  zmath; Russian Math. Surveys, 31:6 (1976), 87–92 2
25. Sh. A. Alimov, V. A. Il'in, E. M. Nikishin, “Convergence problems of multiple trigonometric series and spectral decompositions. I”, Uspekhi Mat. Nauk, 31:6(192) (1976),  28–83  mathnet  mathscinet  zmath; Russian Math. Surveys, 31:6 (1976), 29–86 49
26. Sh. A. Alimov, “On spectral decompositions of functions in $H_p^\alpha$”, Mat. Sb. (N.S.), 101(143):1(9) (1976),  3–20  mathnet  mathscinet  zmath; Math. USSR-Sb., 30:1 (1976), 1–16  isi 15
1975
27. Sh. A. Alimov, “On the uniform convergence of spectral decompositions of functions in $H_p^\alpha$”, Dokl. Akad. Nauk SSSR, 222:3 (1975),  521–522  mathnet  mathscinet  zmath
1974
28. Sh. A. Alimov, “The localization of spectral expansions”, Differ. Uravn., 10:4 (1974),  744–746  mathnet  mathscinet  zmath 1
29. Sh. A. Alimov, V. A. Il'in, “Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. V. A theorem on the uniform convergence of the spectral decomposition for a general second order elliptic operator”, Differ. Uravn., 10:3 (1974),  481–506  mathnet  mathscinet  zmath 1
1973
30. Sh. A. Alimov, “Uniform convergence and summability of the spectral expansions of functions from $L_p^\alpha$”, Differ. Uravn., 9:4 (1973),  669–681  mathnet  mathscinet  zmath 4
31. Sh. A. Alimov, “The uniform convergence of spectral expansions of functions of the class $L_p^\alpha$”, Differ. Uravn., 9:3 (1973),  547–548  mathnet  mathscinet  zmath
32. Sh. A. Alimov, “Spectral expansions of functions of the class $L_p^\alpha$”, Differ. Uravn., 9:3 (1973),  477–486  mathnet  mathscinet  zmath
1972
33. Sh. A. Alimov, “Fractional powers of elliptic operators and isomorphism of classes of differentiable functions”, Differ. Uravn., 8:9 (1972),  1609–1626  mathnet  mathscinet  zmath 11
34. Sh. A. Alimov, V. A. Il'in, “The divergence in $L_p$ of the Riesz means of spectral expansions”, Differ. Uravn., 8:6 (1972),  1092–1094  mathnet  mathscinet  zmath 2
35. V. A. Il'in, Sh. A. Alimov, “The divergence on a set of positive measure of the Riesz means of kernels of fractional order”, Differ. Uravn., 8:2 (1972),  372–373  mathnet  mathscinet  zmath 1
1971
36. Sh. A. Alimov, V. A. Il'in, “Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. II. Self-adjoint extension of the Laplace operator with an arbitrary spectrum”, Differ. Uravn., 7:5 (1971),  851–882  mathnet  mathscinet  zmath 5
37. V. A. Il'in, Sh. A. Alimov, “Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. I. Self-adjoint extension of the Laplace operator with a point spectrum”, Differ. Uravn., 7:4 (1971),  670–710  mathnet  mathscinet  zmath 12
38. Sh. A. Alimov, “The localization of eigenfunction expansions of a selfadjoint elliptic operator”, Differ. Uravn., 7:3 (1971),  534–537  mathnet  mathscinet  zmath
39. Sh. A. Alimov, “The eigenfunction expansion for the Schrödinger operator”, Differ. Uravn., 7:2 (1971),  286–296  mathnet  mathscinet  zmath
40. Sh. A. Alimov, “Expandibility in eigenfunctions of the Laplacian in a two-dimension region”, Mat. Zametki, 9:6 (1971),  609–616  mathnet  mathscinet  zmath; Math. Notes, 9:6 (1971), 353–357
1970
41. Sh. A. Alimov, “The Fourier series expansion of functions from the class $B^\alpha_{p,\theta}$ in an arbitrary fundamental function system of Laplace's operator”, Dokl. Akad. Nauk SSSR, 194:1 (1970),  9–11  mathnet  mathscinet  zmath
42. V. A. Il'in, Sh. A. Alimov, “Conditions for uniform Riesz summability, of Fourier series in an arbitrary fundamental function system of Laplace's operator, that are best possible in the classes of Solobev, Nikol'skii, Besov, Liouville and Zygmund–Hölder”, Dokl. Akad. Nauk SSSR, 193:2 (1970),  276–279  mathnet  mathscinet  zmath
43. Sh. A. Alimov, V. A. Il'in, “Spectral decompositions corresponding to an arbitrary nonnegative selfadjoint extension of Laplace's operator”, Dokl. Akad. Nauk SSSR, 193:1 (1970),  9–12  mathnet  mathscinet  zmath 1
44. Sh. A. Alimov, “The summability of Fourier series for functions from $L_p$ in terms of eigenfunctions”, Differ. Uravn., 6:3 (1970),  538–547  mathnet  mathscinet  zmath 2
45. Sh. A. Alimov, “The $L_p$ summability of eigenfunction series”, Differ. Uravn., 6:1 (1970),  164–171  mathnet  mathscinet 2
1968
46. Sh. A. Alimov, “The summation of eigenfunction series”, Dokl. Akad. Nauk SSSR, 182:5 (1968),  991–992  mathnet  mathscinet  zmath
2021
47. Sh. A. Alimov, R. R. Ashurov, T. Sh. Kal'menov, B. E. Kanguzhin, V. V. Karachik, M. A. Sadybekov, A. M. Sarsenbi, D. Suragan, N. Tokmagambetov, B. T. Torebek, S. R. Umarov, V. E. Fedorov, “Batirkhan Khudaibergenovich Turmetov (to the 60th anniversary)”, Chelyab. Fiz.-Mat. Zh., 6:1 (2021),  5–8  mathnet
1994
48. O. A. Oleinik, M. M. Lavrent'ev, V. A. Il'in, A. V. Bitsadze, T. A. Sarymsakov, M. S. Salakhitdinov, Sh. A. Alimov, Sh. A. Ayupov, “Tukhtamurad Dzhuraevich Dzhuraev (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 49:5(299) (1994),  185–186  mathnet  mathscinet; Russian Math. Surveys, 49:5 (1994), 199–201  isi
1993
49. Sh. A. Alimov, Sh. A. Ayupov, A. V. Bitsadze, T. D. Dzhuraev, V. V. Il'in, M. M. Lavrent'ev, T. A. Sarymsakov, “Makhmud Salakhitdinovich Salakhitdinov (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 48:6(294) (1993),  175–176  mathnet  mathscinet; Russian Math. Surveys, 48:6 (1993), 191–193  isi
1988
50. Sh. A. Alimov, A. V. Bitsadze, A. A. Dorodnitsyn, N. P. Erugin, E. I. Moiseev, A. A. Samarskii, A. N. Tikhonov, “Vladimir Aleksandrovich Il'in (on the occasion of his 60th birthday)”, Differ. Uravn., 24:5 (1988),  739–750  mathnet  mathscinet
1972
51. V. A. Il'in, Sh. A. Alimov, “Comment on conditions for the convergence of spectral expansions corresponding to self-adjoint extensions of elliptic operators”, Differ. Uravn., 8:1 (1972),  190  mathnet  zmath

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