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Sabitov Kamil Basirovich

Publications in Math-Net.Ru

  1. Influence of pressure and density of the surrounding medium on the frequency spectrum of rectangular plates hinged along the perimeter

    Prikl. Mekh. Tekh. Fiz., 66:3 (2025),  177–191
  2. The Dirichlet problem for inhomogeneous mixed-type equation with Lavrent'ev–Bitsadze operator

    Izv. RAN. Ser. Mat., 88:4 (2024),  61–83
  3. On the Well-Posedness of an Initial–Boundary Value Problem for a Degenerate Heat Equation

    Mat. Zametki, 115:2 (2024),  230–244
  4. Inverse problems of finding a source in the heat equation from a nonlocal observation

    Sib. Zh. Ind. Mat., 27:3 (2024),  143–156
  5. Plate oscillations with mixed boundary conditions

    Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 3,  63–77
  6. One way of summing multidimensional series

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 27:4 (2023),  745–752
  7. Inverse problems for the Helmholtz equation on finding the right-hand side with nonlocal integral observation

    Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023),  1145–1155
  8. Forward and inverse source reconstruction problems for the equations of vibrations of a rectangular plate

    Zh. Vychisl. Mat. Mat. Fiz., 63:4 (2023),  614–628
  9. On the uniform convergence of the expansion of a function in Fourier–Bessel range

    Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 11,  89–96
  10. The Dirichlet Problem for a mixed-type equation with fractional derivatives

    Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 9,  83–94
  11. Vibrations of plate with boundary “hinged attachment” conditions

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 26:4 (2022),  650–671
  12. Initial-boundary value problems for equation of oscillation of a rectangular plate

    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 10,  60–70
  13. Inverse problems for a two-dimensional heat equation with unknown right-hand side

    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3,  83–97
  14. Console beam vibrations

    Applied Mathematics & Physics, 53:1 (2021),  5–12
  15. Initial-boundary value problem for the equation of forced vibrations of a cantilever beam

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:1 (2021),  51–66
  16. Asymptotic estimates of the difference of products of Bessel functions by the integral of these functions

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:1 (2020),  41–55
  17. The second initial-boundary value problem for a $B$-hyperbolic equation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 10,  75–86
  18. On the theory of the known inverse problems for the heat transfer equation

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:2 (2019),  274–291
  19. On the correctness of boundary value problems for the mixed type equation of the second kind

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:3 (2019),  430–451
  20. The first boundary-value problem for an equation of mixed type with a singular coefficient

    Izv. RAN. Ser. Mat., 82:2 (2018),  79–112
  21. On the question of the correctness of inverse problems for the inhomogeneous Helmholtz equation

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 22:2 (2018),  269–292
  22. On the theory of the Frankl problem for equations of mixed type

    Izv. RAN. Ser. Mat., 81:1 (2017),  101–138
  23. Inverse problems for initial conditions of the mixed problem for the telegraph equation

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 141 (2017),  111–133
  24. Initial-boundary-value problem for inhomogeneous degenerate equations of mixed parabolic-hyperbolic type

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 137 (2017),  26–60
  25. On fixed sign solution to nonhomogeneous equation of mixed parabolic-hyperbolic type of higher order

    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 7,  57–66
  26. A.A. Dezin's problem for inhomogeneous Lavrent'ev–Bitsadze equation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3,  37–50
  27. Inverse problem for Lavrent'ev–Bitsadze equation connected with the search of elements in right-hand side

    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 2,  44–57
  28. Initial Boundary and Inverse Problems for the Inhomogeneous Equation of a Mixed Parabolic-Hyperbolic Equation

    Mat. Zametki, 102:3 (2017),  415–435
  29. Nonlocal A. A. Dezin's problem for Lavrent'ev–Bitsadze equation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 6,  61–72
  30. On positiveness of a solution to inhomogeneous mixed type equation of higher order

    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 3,  65–71
  31. Solutions of Fixed Sign of Higher-Order Inhomogeneous Equations of Mixed Elliptic-Hyperbolic Type

    Mat. Zametki, 100:3 (2016),  433–440
  32. Initial-boundary problem for parabolic-hyperbolic equation with loaded summands

    Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 6,  31–42
  33. Inverse problem for degenerate parabolic-hyperbolic equation with nonlocal boundary condition

    Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 1,  46–59
  34. The Dirichlet Problem for Higher-Order Partial Differential Equations

    Mat. Zametki, 97:2 (2015),  262–276
  35. Fluctuations of a beam with clamped ends

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:2 (2015),  311–324
  36. The Dirichlet problem for a loaded mixed-type equation in a rectangular domain

    Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 7,  62–76
  37. Boundary value problem for mixed type equation of the third order with periodic conditions

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(32) (2013),  29–45
  38. An inverse problem for an equation of elliptic-hyperbolic type with a nonlocal boundary condition

    Sibirsk. Mat. Zh., 53:3 (2012),  633–647
  39. The boundary-value problem for the Lavrent'ev–Bitsadze equation with unknown right-hand side

    Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5,  44–52
  40. A nonlocal inverse problem for a mixed-type equation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 2,  71–85
  41. Nonlocal Problem for a Parabolic-Hyperbolic Equation in a Rectangular Domain

    Mat. Zametki, 89:4 (2011),  596–602
  42. The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain

    Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 4,  55–62
  43. The Inverse Problem for an Equation of Mixed Parabolic-Hyperbolic Type

    Mat. Zametki, 87:6 (2010),  907–918
  44. The Dirichlet problem for a mixed-type equation with characteristic degeneration in a rectangular domain

    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 11,  43–52
  45. Tricomi Problem for a Mixed Parabolic–Hyperbolic Equation in a Rectangular Domain

    Mat. Zametki, 86:2 (2009),  273–279
  46. The Dirichlet problem for a mixed-type equation of the second kind in a rectangular domain

    Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 4,  45–53
  47. The Tricomi problem for an equation of mixed type with a nonsmooth line of power degeneration

    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 7,  65–76
  48. Extremal properties of solutions of the Tricomi difference problem for a difference system of equations of mixed type and their applications

    Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 4,  56–69
  49. Solution of the Tricomi problem for an equation of mixed type with a singular coefficient by the spectral method

    Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 2,  64–71
  50. The Tricomi Problem for a Mixed Type Equation with Two Orthogonal Degeneration Lines

    Differ. Uravn., 39:6 (2003),  788–800
  51. Spectral properties of a boundary value problem with a normal derivative in the boundary condition for equations of mixed type and their applications

    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 6,  64–76
  52. Cauchy–Goursat problems for a degenerate hyperbolic equation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 5,  21–29
  53. Boundary value problems for the Lavrent'ev–Bitsadze equation with a complex parameter

    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 3,  49–58
  54. Construction of Eigenfunctions of the Tricomi–Neumann Problem for Equations of Mixed Type with Characteristic Degeneration and Their Application

    Mat. Zametki, 74:1 (2003),  76–87
  55. Solution of a Gasdynamic Problem for an Equation of Mixed Type with Nonsmooth Degeneration Line

    Differ. Uravn., 38:1 (2002),  111–116
  56. Solution of the Tricomi problem for the Lavrentiev-Batsadze equation by spectral analysis

    News of the Kabardin-Balkar scientific center of RAS, 2002, no. 1,  84–93
  57. On the question of existence of a solution to the Tricomi problem for one class of systems of mixed-type equations

    Sibirsk. Mat. Zh., 43:3 (2002),  710–727
  58. Spectral properties of solutions of the Tricomi problem for equations of mixed type with two lines of degeneracy, and their applications

    Izv. RAN. Ser. Mat., 65:4 (2001),  133–150
  59. The Gellerstedt problem for systems of equations of mixed type

    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 11,  22–34
  60. On the theory of an analogue of the Neumann problem for equations of mixed type

    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 10,  73–80
  61. On the ill-posedness of boundary value problems for a class of hyperbolic equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 5,  59–63
  62. Spectral properties of a solution to the Gellerstedt problem for mixed-type equations and their applications

    Sibirsk. Mat. Zh., 42:5 (2001),  1147–1161
  63. The sign of the conormal derivative of a solution to a degenerating elliptic equation near a point of maximum

    Differ. Uravn., 36:6 (2000),  844–847
  64. On the theory of equations of mixed type with two lines of degeneration

    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 11,  70–80
  65. A Tricomi problem with a nonlocal conjugation condition for the generalized Tricomi equation

    Differ. Uravn., 32:3 (1996),  409–412
  66. On the Tricomi problem for the Chaplygin equation

    Differ. Uravn., 31:1 (1995),  123–128
  67. On the Tricomi problem for the Chaplygin equation

    Dokl. Akad. Nauk, 335:4 (1994),  430–432
  68. A Tricomi-type problem with a nonlocal conjugation condition for an equation of mixed type

    Dokl. Akad. Nauk, 326:5 (1992),  787–791
  69. An alternating method of Schwartz type in the theory of equations of mixed type

    Dokl. Akad. Nauk, 322:3 (1992),  476–480
  70. On the existence of a solution to the Tricomi problem

    Differ. Uravn., 28:12 (1992),  2092–2101
  71. Construction in explicit form of solutions of the Darboux problems for the telegraph equation and their application in the inversion of integral equations. II

    Differ. Uravn., 28:7 (1992),  1138–1145
  72. On the uniqueness of solutions of the generalized Tricomi problem that arises in the theory of the Laval nozzle

    Dokl. Akad. Nauk SSSR, 321:6 (1991),  1151–1154
  73. On the solution of a problem in the theory of the Frankl problem for equations of mixed type

    Dokl. Akad. Nauk SSSR, 317:5 (1991),  1048–1052
  74. On the spectrum of a gasdynamic problem of Frankl' for equations of mixed type

    Dokl. Akad. Nauk SSSR, 316:1 (1991),  40–44
  75. Maximum modulus principles for some classes of second-order elliptic and hyperbolic systems

    Differ. Uravn., 27:2 (1991),  272–278
  76. Solution of a problem in the theory of the Frankl' problem for equations of mixed type

    Differ. Uravn., 27:1 (1991),  60–68
  77. The Riccati equation in the theory of equations of mixed type

    Dokl. Akad. Nauk SSSR, 314:6 (1990),  1307–1311
  78. Inversion of some integral equations of Volterra type

    Dokl. Akad. Nauk SSSR, 314:2 (1990),  300–303
  79. Extremal properties of the modulus of solutions of a class of systems of equations of mixed type

    Dokl. Akad. Nauk SSSR, 310:1 (1990),  33–36
  80. Construction in explicit form of solutions of the Darboux problems for the telegraph equation and its application in the inversion of integral equations. I

    Differ. Uravn., 26:6 (1990),  1023–1032
  81. On a question on the generalized Tricomi problem that arises in the theory of the Laval nozzle. I

    Differ. Uravn., 26:5 (1990),  841–851
  82. The maximum principle for systems of second-order equations of mixed type

    Differ. Uravn., 26:3 (1990),  488–494
  83. Extremal properties of solutions of a class of parabolic systems and their applications

    Differ. Uravn., 26:2 (1990),  287–297
  84. About construction of eigenvalues and eigenfunctions of the gasedynamic problem of Frankl

    Mat. Model., 2:10 (1990),  100–109
  85. On role of Riccati equation in the theory of transonic gas-dynamic flows

    Mat. Model., 2:9 (1990),  105–113
  86. Maximum modulus principles for some classes of second-order elliptic systems

    Dokl. Akad. Nauk SSSR, 309:6 (1989),  1321–1324
  87. The maximum principle for systems of second-order equations of mixed type

    Dokl. Akad. Nauk SSSR, 305:4 (1989),  783–786
  88. On the theory of equations of mixed parabolic-hyperbolic type with a spectral parameter

    Differ. Uravn., 25:1 (1989),  117–126
  89. Interior and boundary extremum principles for a class of elliptic systems

    Uspekhi Mat. Nauk, 44:5(269) (1989),  179–180
  90. The maximum principle for equations of mixed type

    Differ. Uravn., 24:11 (1988),  1967–1976
  91. Uniqueness of the solution of the Frankl' problem for equations of mixed type

    Differ. Uravn., 24:5 (1988),  904–906
  92. The Tricomi problem for the Lavrent'ev–Bitsadze equation with a spectral parameter

    Differ. Uravn., 22:11 (1986),  1977–1984
  93. A problem of Tricomi type for equations of mixed type with strong characteristic degeneration

    Differ. Uravn., 20:2 (1984),  333–337
  94. Formulation of boundary value problems for an equation of mixed type with degeneration of the second kind on the boundary of an infinite domain

    Sibirsk. Mat. Zh., 21:4 (1980),  146–150

  95. In memory of Spivak Semen Izrailevich

    Zhurnal SVMO, 22:4 (2020),  463–466
  96. Alexander Kozhanov (to the $60^{th}$ anniversary)

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 14,  187–189
  97. In Memory of Anatoliy A. Kilbas

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010),  6–9

© Steklov Math. Inst. of RAS, 2026