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Sabitov, Kamil Basirovich

Sabitov, Kamil Basirovich
Professor
Doctor of physico-mathematical sciences (1992)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords: mixed-type equation, Frankl problem, overview, uniqueness existence, Frankl spectral problem, eigenfunctions completeness basis property.

Subject:

Differential equations of mixed type

Biography

K.B. Sabitov graduated from Sterlitamak State Pedagogical Institute (SSPI) in 1973. In 1974-1979 he was an intern-researcher, post-graduate student of the department of mathematical analysis of the Kuibyshev State Pedagogical Institute. In 1980 he defended his thesis for the degree of candidate by specialty 01.01.02 — differential equations and mathematical physics. In 1981-1986 he was a head of the Department of Mathematical analysis of SSPI, in 1988–1991 — doctoral student of the Faculty of Computational Mathematics and Cybernetics of Moscow State University n.a. M.V. Lomonosov in the scientific direction "Mathematical modeling and processing of space information". After graduating from the doctoral program in 1992, he defended his thesis for the doctoral degree. In 1992 - 2008 he was a Professor of Mathematical analysis of SSPI.

In 1992—2007, K.B. Sabitov was a Dean of the Faculty of Mathematics and Physics of SSPI; he opened new university specialties: applied mathematics and computer science, software and administration of information systems; physics with specialization chemical physics and fiber-optic communication; opened and created 5 new departments.

Since 1995, he is a member of the Department of Physical and Mathematical Sciences of the Academy of Sciences of the Republic of Bashkortostan (AS RB), director-organizer, and since 1996 the director of the Sterlitamak branch of the AS RB; since 2009 — director of the Institute of Applied Research of the AS RB; in 2006 he was elected as Corresponding Member of AN RB. K.B. Sabitov is an author of about 250 scientific articles.

The main publications are devoted to mathematical problems of subsonic and transonic gas dynamics, boundary value problems for differential equations of mixed type, the study of their qualitative and spectral properties of solutions, the most important of them are:
1) Equations of mathematical physics. M .: High School. 2003. 255 p.,
2) Functional, differential and integral equations. M .: High School. 2005. 671 p.,
3) On the theory of equations of mixed type with two lines of type change. Ufa: Gilem. 155 s. (co-authors G.G. Bikkulova, A.A. Gimaltdinova).
4) K.B. Sabitov On the theory of equations of mixed type. Monograph. 2012. Palmarium Academic Publishing. 2012. 352 p.
5) On the theory of equations of mixed type Monograph. M .: Fizmatlit. 2014. 304 p.

About 30 candidates of physical and mathematical sciences and 3 doctors of science are defended under K.B. Sabitov supervision.

Awards: Excellence in Education of the RB (1996), Honored Scientist of the RB (1999), Honorary Worker of Higher Professional Education of the Russian Federation (2001), Honored Scientist of the Russian Federation (2014).

The main scientific results of K.B. Sabitov:
— the effect of the influence of the hyperbolic part of the equations of the mixed type on the correctness of the Tricomi problem was established for the first time; to prove the existence of a generalized solution of the Tricomi problem for general equations and some systems of mixed-type equations, an alternating Schwarz-type method has been developed;
— developing the Moravec auxiliary function method, the new uniqueness theorems were obtained for solving the Frankl problem and the generalized Tricomi problem for important classes of mixed-type equations that simulate transonic flows;
— the problems of the uniqueness of the solution of the Frankl problem and the generalized Tricomi problem were finally solved in the L.V. Ovsyannikov and the Tricomi problem for the Chaplygin equation, for which these problems were posed in the theory of a Laval nozzle;
— the eigenvalues ​​and the corresponding eigenfunctions of the spectral problems for the Lavrentev–Bitsadze, Chaplygin operators were found, the constructed system of eigenfunctions was studied for completeness and its applications for solving boundary value problems were shown;
— the extremal properties of solutions of difference analogues of systems of equations of mixed type are established and on their basis the theorems on the unique solvability of difference problems are obtained; — set the criteria for uniqueness and sufficient conditions for the solvability of local (Dirichlet, Neumann problems) and non-local boundary value problems;
— for the first time, inverse problems for equations of mixed type of the second order and boundary problems for equations of mixed type of the third order were posed and conditions for their unique solvability in a rectangular region were established.

Over the past 15 years, he was one of the organizers of more than 20 scientific conferences of various levels, following the results of which collections of scientific papers were published. He is the head of the scientific grants of the Republic of Bashkortostan (1996–2014), the Education Ministry of the Russian Federation on basic research in the field of mathematics (1998–2000), RFBR projects (1999–2001, 2008–2009, 2011–2012 2014-2016.)


https://www.mathnet.ru/eng/person11101
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/201003
https://elibrary.ru/author_items.asp?spin=3011-3873
https://orcid.org/0000-0001-9516-2704
https://www.webofscience.com/wos/author/record/JAO-0400-2023
https://www.scopus.com/authid/detail.url?authorId=6603447719

Publications in Math-Net.Ru Citations
2025
1. K. B. Sabitov, A. G. Khakimov, “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  mathnet  elib
2024
2. K. B. Sabitov, “The Dirichlet problem for inhomogeneous mixed-type equation with Lavrent'ev–Bitsadze operator”, Izv. RAN. Ser. Mat., 88:4 (2024),  61–83  mathnet  mathscinet  zmath; Izv. Math., 88:4 (2024), 655–677  isi  scopus
3. A. R. Zaynullov, K. B. Sabitov, “On the Well-Posedness of an Initial–Boundary Value Problem for a Degenerate Heat Equation”, Mat. Zametki, 115:2 (2024),  230–244  mathnet  mathscinet; Math. Notes, 115:2 (2024), 192–204  scopus
4. K. B. Sabitov, “Inverse problems of finding a source in the heat equation from a nonlocal observation”, Sib. Zh. Ind. Mat., 27:3 (2024),  143–156  mathnet; J. Appl. Industr. Math., 18:3 (2024), 536–547 1
2023
5. K. B. Sabitov, “Plate oscillations with mixed boundary conditions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 3,  63–77  mathnet; Russian Math. (Iz. VUZ), 67:3 (2023), 53–65 2
6. K. B. Sabitov, “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  mathnet
7. K. B. Sabitov, “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  mathnet  elib; Comput. Math. Math. Phys., 63:7 (2023), 1254–1263 2
8. K. B. Sabitov, “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  mathnet  elib; Comput. Math. Math. Phys., 63:4 (2023), 582–595 3
2022
9. K. B. Sabitov, “On the uniform convergence of the expansion of a function in Fourier–Bessel range”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 11,  89–96  mathnet; Russian Math. (Iz. VUZ), 66:11 (2022), 79–85 5
10. K. B. Sabitov, “The Dirichlet Problem for a mixed-type equation with fractional derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 9,  83–94  mathnet; Russian Math. (Iz. VUZ), 66:9 (2022), 71–81 10
11. K. B. Sabitov, “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  mathnet 5
2021
12. K. B. Sabitov, “Initial-boundary value problems for equation of oscillation of a rectangular plate”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 10,  60–70  mathnet; Russian Math. (Iz. VUZ), 65:10 (2021), 52–62 13
13. K. B. Sabitov, A. R. Zainullov, “Inverse problems for a two-dimensional heat equation with unknown right-hand side”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3,  83–97  mathnet; Russian Math. (Iz. VUZ), 65:3 (2021), 75–88  isi  scopus 9
14. K. B. Sabitov, O. V. Fadeeva, “Console beam vibrations”, Applied Mathematics & Physics, 53:1 (2021),  5–12  mathnet 2
15. K. B. Sabitov, O. V. Fadeeva, “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  mathnet  zmath  elib 15
2020
16. K. B. Sabitov, “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  mathnet 1
2019
17. K. B. Sabitov, N. V. Zaitseva, “The second initial-boundary value problem for a $B$-hyperbolic equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 10,  75–86  mathnet; Russian Math. (Iz. VUZ), 63:10 (2019), 66–76  isi  scopus 15
18. K. B. Sabitov, A. R. Zaynullov, “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  mathnet  elib 2
19. K. B. Sabitov, I. P. Egorova, “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  mathnet 4
2018
20. K. B. Sabitov, R. M. Safina, “The first boundary-value problem for an equation of mixed type with a singular coefficient”, Izv. RAN. Ser. Mat., 82:2 (2018),  79–112  mathnet  mathscinet  zmath  elib; Izv. Math., 82:2 (2018), 318–350  isi  scopus 17
21. K. B. Sabitov, N. V. Martem'yanova, “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  mathnet  zmath  elib 3
2017
22. K. B. Sabitov, “On the theory of the Frankl problem for equations of mixed type”, Izv. RAN. Ser. Mat., 81:1 (2017),  101–138  mathnet  mathscinet  zmath  elib; Izv. Math., 81:1 (2017), 99–136  isi  scopus 13
23. K. B. Sabitov, A. R. Zaynullov, “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  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 241:5 (2019), 622–645 1
24. K. B. Sabitov, S. N. Sidorov, “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  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 236:6 (2019), 603–640  scopus 16
25. K. B. Sabitov, “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  mathnet; Russian Math. (Iz. VUZ), 61:7 (2017), 49–57  isi  scopus 1
26. K. B. Sabitov, V. A. Gushchina (Novikova), “A.A. Dezin's problem for inhomogeneous Lavrent'ev–Bitsadze equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3,  37–50  mathnet; Russian Math. (Iz. VUZ), 61:3 (2017), 31–43  isi  scopus 8
27. K. B. Sabitov, N. V. Martem'yanova, “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  mathnet; Russian Math. (Iz. VUZ), 61:2 (2017), 36–48  isi  scopus 6
28. K. B. Sabitov, “Initial Boundary and Inverse Problems for the Inhomogeneous Equation of a Mixed Parabolic-Hyperbolic Equation”, Mat. Zametki, 102:3 (2017),  415–435  mathnet  mathscinet  elib; Math. Notes, 102:3 (2017), 378–395  isi  scopus 24
2016
29. K. B. Sabitov, V. A. Novikova, “Nonlocal A. A. Dezin's problem for Lavrent'ev–Bitsadze equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 6,  61–72  mathnet; Russian Math. (Iz. VUZ), 60:6 (2016), 52–62  isi  scopus 17
30. K. B. Sabitov, “On positiveness of a solution to inhomogeneous mixed type equation of higher order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 3,  65–71  mathnet; Russian Math. (Iz. VUZ), 60:3 (2016), 56–62  isi  scopus 4
31. K. B. Sabitov, “Solutions of Fixed Sign of Higher-Order Inhomogeneous Equations of Mixed Elliptic-Hyperbolic Type”, Mat. Zametki, 100:3 (2016),  433–440  mathnet  mathscinet  elib; Math. Notes, 100:3 (2016), 458–464  isi  scopus
2015
32. K. B. Sabitov, “Initial-boundary problem for parabolic-hyperbolic equation with loaded summands”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 6,  31–42  mathnet; Russian Math. (Iz. VUZ), 59:6 (2015), 23–33  scopus 33
33. K. B. Sabitov, S. N. Sidorov, “Inverse problem for degenerate parabolic-hyperbolic equation with nonlocal boundary condition”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 1,  46–59  mathnet; Russian Math. (Iz. VUZ), 59:1 (2015), 39–50  scopus 21
34. K. B. Sabitov, “The Dirichlet Problem for Higher-Order Partial Differential Equations”, Mat. Zametki, 97:2 (2015),  262–276  mathnet  mathscinet  zmath  elib; Math. Notes, 97:2 (2015), 255–267  isi  scopus 29
35. K. B. Sabitov, “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  mathnet  zmath  elib 29
2013
36. K. B. Sabitov, E. P. Melisheva, “The Dirichlet problem for a loaded mixed-type equation in a rectangular domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 7,  62–76  mathnet; Russian Math. (Iz. VUZ), 57:7 (2013), 53–65  scopus 22
37. K. B. Sabitov, G. Yu. Udalova, “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  mathnet  zmath 4
2012
38. K. B. Sabitov, N. V. Martem'yanova, “An inverse problem for an equation of elliptic-hyperbolic type with a nonlocal boundary condition”, Sibirsk. Mat. Zh., 53:3 (2012),  633–647  mathnet  mathscinet; Siberian Math. J., 53:3 (2012), 507–519  isi  scopus 25
2011
39. K. B. Sabitov, I. A. Khadzhi, “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  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:5 (2011), 35–42  scopus 13
40. K. B. Sabitov, N. V. Martem'yanova, “A nonlocal inverse problem for a mixed-type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 2,  71–85  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:2 (2011), 61–74  scopus 33
41. K. B. Sabitov, “Nonlocal Problem for a Parabolic-Hyperbolic Equation in a Rectangular Domain”, Mat. Zametki, 89:4 (2011),  596–602  mathnet  mathscinet; Math. Notes, 89:4 (2011), 562–567  isi  scopus 41
2010
42. K. B. Sabitov, E. M. Safin, “The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 4,  55–62  mathnet  mathscinet; Russian Math. (Iz. VUZ), 54:4 (2010), 48–54  scopus 44
43. K. B. Sabitov, E. M. Safin, “The Inverse Problem for an Equation of Mixed Parabolic-Hyperbolic Type”, Mat. Zametki, 87:6 (2010),  907–918  mathnet  mathscinet; Math. Notes, 87:6 (2010), 880–889  isi  scopus 46
2009
44. K. B. Sabitov, A. Kh. Suleimanova, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 53:11 (2009), 37–45 24
45. K. B. Sabitov, “Tricomi Problem for a Mixed Parabolic–Hyperbolic Equation in a Rectangular Domain”, Mat. Zametki, 86:2 (2009),  273–279  mathnet  mathscinet  zmath  elib; Math. Notes, 86:2 (2009), 249–254  isi  scopus 36
2007
46. K. B. Sabitov, A. Kh. Suleimanova, “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  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 51:4 (2007), 42–50 33
2006
47. K. B. Sabitov, N. V. Chiganova, “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  mathnet  mathscinet; Russian Math. (Iz. VUZ), 50:7 (2006), 62–73
2005
48. K. B. Sabitov, M. F. Mugafarov, “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  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 49:4 (2005), 53–66 1
2004
49. K. B. Sabitov, R. R. Il'yasov, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 48:2 (2004), 61–68 10
2003
50. K. B. Sabitov, G. G. Sharafutdinova, “The Tricomi Problem for a Mixed Type Equation with Two Orthogonal Degeneration Lines”, Differ. Uravn., 39:6 (2003),  788–800  mathnet  mathscinet; Differ. Equ., 39:6 (2003), 830–843 7
51. K. B. Sabitov, S. L. Khasanova, “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  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 47:6 (2003), 60–72 3
52. K. B. Sabitov, G. G. Sharafutdinova, “Cauchy–Goursat problems for a degenerate hyperbolic equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 5,  21–29  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:5 (2003), 19–27 7
53. K. B. Sabitov, N. G. Shmeleva, “Boundary value problems for the Lavrent'ev–Bitsadze equation with a complex parameter”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 3,  49–58  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:3 (2003), 46–55 1
54. K. B. Sabitov, S. L. Bibakova, “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  mathnet  mathscinet  zmath; Math. Notes, 74:1 (2003), 70–80  isi  scopus 6
2002
55. K. B. Sabitov, A. A. Karamova, “Solution of a Gasdynamic Problem for an Equation of Mixed Type with Nonsmooth Degeneration Line”, Differ. Uravn., 38:1 (2002),  111–116  mathnet  mathscinet; Differ. Equ., 38:1 (2002), 120–126 5
56. K. B. Sabitov, S. L. Khasanova, “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  mathnet
57. K. B. Sabitov, M. F. Mugafarov, “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  mathnet  mathscinet  zmath; Siberian Math. J., 43:3 (2002), 575–590  isi 1
2001
58. K. B. Sabitov, A. A. Karamova, “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  mathnet  mathscinet  zmath; Izv. Math., 65:4 (2001), 769–785  scopus 9
59. K. B. Sabitov, R. G. Idrisov, “The Gellerstedt problem for systems of equations of mixed type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 11,  22–34  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 45:11 (2001), 19–31 1
60. K. B. Sabitov, A. A. Akimov, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 45:10 (2001), 69–76 3
61. K. B. Sabitov, R. R. Il'yasov, “On the ill-posedness of boundary value problems for a class of hyperbolic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 5,  59–63  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 45:5 (2001), 56–60 10
62. K. B. Sabitov, A. N. Kuchkarova, “Spectral properties of a solution to the Gellerstedt problem for mixed-type equations and their applications”, Sibirsk. Mat. Zh., 42:5 (2001),  1147–1161  mathnet  mathscinet  zmath; Siberian Math. J., 42:5 (2001), 961–974  isi 2
2000
63. K. B. Sabitov, F. Kh. Mukminov, “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  mathnet  mathscinet; Differ. Equ., 36:6 (2000), 938–942
1999
64. K. B. Sabitov, A. A. Karamova, G. G. Sharafutdinova, “On the theory of equations of mixed type with two lines of degeneration”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 11,  70–80  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 43:11 (1999), 68–79 6
1996
65. K. B. Sabitov, A. Kh. Isyangildin, “A Tricomi problem with a nonlocal conjugation condition for the generalized Tricomi equation”, Differ. Uravn., 32:3 (1996),  409–412  mathnet  mathscinet; Differ. Equ., 32:3 (1996), 413–416 4
1995
66. K. B. Sabitov, “On the Tricomi problem for the Chaplygin equation”, Differ. Uravn., 31:1 (1995),  123–128  mathnet  mathscinet; Differ. Equ., 31:1 (1995), 110–115
1994
67. K. B. Sabitov, “On the Tricomi problem for the Chaplygin equation”, Dokl. Akad. Nauk, 335:4 (1994),  430–432  mathnet  mathscinet  zmath; Dokl. Math., 49:2 (1994), 359–363 1
1992
68. K. B. Sabitov, A. H. Isyangildin, “A Tricomi-type problem with a nonlocal conjugation condition for an equation of mixed type”, Dokl. Akad. Nauk, 326:5 (1992),  787–791  mathnet  mathscinet  zmath; Dokl. Math., 46:2 (1993), 364–368 2
69. K. B. Sabitov, “An alternating method of Schwartz type in the theory of equations of mixed type”, Dokl. Akad. Nauk, 322:3 (1992),  476–480  mathnet  mathscinet  zmath; Dokl. Math., 45:1 (1992), 136–140 3
70. K. B. Sabitov, “On the existence of a solution to the Tricomi problem”, Differ. Uravn., 28:12 (1992),  2092–2101  mathnet  mathscinet; Differ. Equ., 28:12 (1992), 1737–1745 4
71. K. B. Sabitov, “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  mathnet  mathscinet; Differ. Equ., 28:7 (1992), 901–908 4
1991
72. N. Yu. Kapustin, K. B. Sabitov, “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  mathnet  mathscinet  zmath; Dokl. Math., 44:3 (1992), 862–865
73. N. Yu. Kapustin, K. B. Sabitov, “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  mathnet  mathscinet  zmath; Dokl. Math., 43:2 (1991), 584–588 3
74. K. B. Sabitov, “On the spectrum of a gasdynamic problem of Frankl' for equations of mixed type”, Dokl. Akad. Nauk SSSR, 316:1 (1991),  40–44  mathnet  mathscinet  zmath; Dokl. Math., 43:1 (1991), 35–38 1
75. K. B. Sabitov, “Maximum modulus principles for some classes of second-order elliptic and hyperbolic systems”, Differ. Uravn., 27:2 (1991),  272–278  mathnet  mathscinet; Differ. Equ., 27:2 (1991), 194–199 1
76. N. Yu. Kapustin, K. B. Sabitov, “Solution of a problem in the theory of the Frankl' problem for equations of mixed type”, Differ. Uravn., 27:1 (1991),  60–68  mathnet  mathscinet; Differ. Equ., 27:1 (1991), 47–54 8
1990
77. N. Yu. Kapustin, K. B. Sabitov, “The Riccati equation in the theory of equations of mixed type”, Dokl. Akad. Nauk SSSR, 314:6 (1990),  1307–1311  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 641–645 1
78. K. B. Sabitov, “Inversion of some integral equations of Volterra type”, Dokl. Akad. Nauk SSSR, 314:2 (1990),  300–303  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 460–463 2
79. K. B. Sabitov, “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  mathnet  mathscinet  zmath; Dokl. Math., 41:1 (1990), 26–29 3
80. K. B. Sabitov, “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  mathnet  mathscinet  zmath; Differ. Equ., 26:6 (1990), 747–755 15
81. K. B. Sabitov, “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  mathnet  mathscinet; Differ. Equ., 26:5 (1990), 607–616
82. K. B. Sabitov, “The maximum principle for systems of second-order equations of mixed type”, Differ. Uravn., 26:3 (1990),  488–494  mathnet  mathscinet; Differ. Equ., 26:3 (1990), 364–369
83. K. B. Sabitov, “Extremal properties of solutions of a class of parabolic systems and their applications”, Differ. Uravn., 26:2 (1990),  287–297  mathnet  mathscinet; Differ. Equ., 26:2 (1990), 220–228 1
84. K. B. Sabitov, V. V. Tikhomirov, “About construction of eigenvalues and eigenfunctions of the gasedynamic problem of Frankl”, Mat. Model., 2:10 (1990),  100–109  mathnet  mathscinet  zmath 6
85. N. Yu. Kapustin, K. B. Sabitov, “On role of Riccati equation in the theory of transonic gas-dynamic flows”, Mat. Model., 2:9 (1990),  105–113  mathnet  mathscinet  zmath 1
1989
86. K. B. Sabitov, “Maximum modulus principles for some classes of second-order elliptic systems”, Dokl. Akad. Nauk SSSR, 309:6 (1989),  1321–1324  mathnet  mathscinet  zmath; Dokl. Math., 40:3 (1990), 656–659 2
87. K. B. Sabitov, “The maximum principle for systems of second-order equations of mixed type”, Dokl. Akad. Nauk SSSR, 305:4 (1989),  783–786  mathnet  mathscinet  zmath; Dokl. Math., 39:2 (1989), 339–343
88. K. B. Sabitov, “On the theory of equations of mixed parabolic-hyperbolic type with a spectral parameter”, Differ. Uravn., 25:1 (1989),  117–126  mathnet  mathscinet; Differ. Equ., 25:1 (1989), 93–100 13
89. K. B. Sabitov, “Interior and boundary extremum principles for a class of elliptic systems”, Uspekhi Mat. Nauk, 44:5(269) (1989),  179–180  mathnet  mathscinet  zmath; Russian Math. Surveys, 44:5 (1989), 216–217  isi
1988
90. K. B. Sabitov, “The maximum principle for equations of mixed type”, Differ. Uravn., 24:11 (1988),  1967–1976  mathnet  mathscinet; Differ. Equ., 24:11 (1988), 1322–1329 9
91. K. B. Sabitov, “Uniqueness of the solution of the Frankl' problem for equations of mixed type”, Differ. Uravn., 24:5 (1988),  904–906  mathnet  mathscinet  zmath 1
1986
92. K. B. Sabitov, “The Tricomi problem for the Lavrent'ev–Bitsadze equation with a spectral parameter”, Differ. Uravn., 22:11 (1986),  1977–1984  mathnet  mathscinet 8
1984
93. K. B. Sabitov, “A problem of Tricomi type for equations of mixed type with strong characteristic degeneration”, Differ. Uravn., 20:2 (1984),  333–337  mathnet  mathscinet 3
1980
94. K. B. Sabitov, “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  mathnet  mathscinet  zmath; Siberian Math. J., 21:4 (1980), 591–594  isi 5

2020
95. I. V. Boykov, P. A. Vel'misov, È. R. Gizzatova, V. K. Gorbunov, V. Z. Grines, I. M. Gubaydullin, Yu. N. Deryugin, E. V. Desyaev, D. K. Egorova, A. P. Zhabko, R. V. Zhalnin, A. S. Ismagilova, V. N. Krizsky, E. B. Kuznetsov, T. Ph. Mamedova, N. D. Morozkin, S. M. Muryumin, S. A. Mustafina, O. V. Pochinka, I. P. Ryazantseva, K. B. Sabitov, L. A. Sukharev, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, “In memory of Spivak Semen Izrailevich”, Zhurnal SVMO, 22:4 (2020),  463–466  mathnet  elib
2012
96. I. E. Egorov, S. I. Kabanikhin, T. Sh. Kal'menov, A. V. Keller, Yu. M. Kovalev, E. V. Radkevich, K. B. Sabitov, A. P. Soldatov, “Alexander Kozhanov (to the $60^{th}$ anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 14,  187–189  mathnet 1
2010
97. A. A. Andreev, M. T. Dzhenaliev, A. N. Zarubin, A. I. Kozhanov, E. I. Moiseev, A. M. Nakhushev, V. A. Nakhusheva, E. N. Ogorodnikov, A. V. Pskhu, L. S. Pulkina, N. R. Radjabov, V. P. Radchenko, E. V. Radkevich, O. A. Repin, K. B. Sabitov, A. P. Soldatov, “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  mathnet 1

Presentations in Math-Net.Ru
1. Inverse problems for the Helmholtz equation
K. B. Sabitov
The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023)
December 6, 2023 14:25

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