Вырождающиеся краевые задачи, дифференциальные уравнения дробного порядка, разрешимость и спектральные вопросы краевых задач.
Научная биография:
Окончил математический факультет ТашГУ в 1983 г. (кафедра функционального анализа). Кандидатская диссертация — 1990 г. Докторская диссертация — 2004 г.
Основные публикации:
Турметов Б. Х., Умаров С. Р., “Об одной краевой задаче для уравнения с дробным производным”, Доклады РАН, 333:4 (1993), 446–448
Турметов Б. Х., “Об одной краевой задаче для гармонического уравнения”, Дифференциальные уравнения, 32:8 (1996), 1089–1092
Турметов Б. Х., “О гладкости решения одной краевой задачи в обобщенных классах Никольского”, Дифференциальные уравнения, 32:10 (1996), 1421–1426
Турметов Б. Х., “О гладкости решения одной краевой задачи с граничным оператором дробного порядка”, Матем. тр., 7:1 (2004), 189–199
B. Kh. Turmetov, K. Nazarova, “On a generalization of the Neumann problem for the Laplace equation”, Mathematische Nachrichten, 293:1 (2020), 169 – 177
2.
V. V. Karachik, B. Kh. Turmetov, “On solvability of some nonlocal boundary value problems for biharmonic equation”, Mathematica Slovaca, 70:2 (2020), 329 – 341 (cited: 1) (cited: 1)
3.
К. Ж. Назарова, Б. Х. Турметов, К. И. Усманов, “Об одной нелокальной краевой задаче с наклонной производной”, Журнал СВМО, 22:1 (2020), 81–-93
4.
V. V. Karachik, B. Kh. Turmetov, “Solvability of one nonlocal Dirichlet problem for the Poisson equation”, Novi Sad Journal of Mathematics, 50:1 (2020), 67 – 88
5.
B. Turmetov,M. Koshanova, M. Muratbekova, “On some analogues of periodic problems for Laplace equation with an oblique derivative under boundary conditions”, e-Journal of Analysis and Applied Mathematics, 2020, no. 1, 13 – 27
2019
6.
V V. Karachik, B K.Turmetov., “On Green’s function of the Robin problem for the Poisson equation”, Advances in Pure and Applied Mathematics, 10:3 (2019), 203-213 https://doi.org/10.1515/apam-2017-0113 (cited: 2)
7.
Б. Х. Турметов, “Об одном обобщении третьей краевой задачи для уравнения Лапласа”, Челябинский физико-математический журнал, 4:1 (2019), 32–40 http://cpmj.csu.ru/index.php/cpmj/article/view/206/148
8.
B. Turmetov,K. Nazarova, “On Fractional Analogs of Dirichlet and Neumann Problems for the Laplace Equation”, Mediterranean Journal of Mathematics, 2019 https://doi.org/10.1007/s00009-019-1347-5 (cited: 1) (cited: 2)
9.
V. V. Karachik, A. M. Sarsenbi, B. Kh. Turmetov, “On solvability of the main boundary value problems for a non-local Poisson equation”, Turkish journal of mathematics, 43:3 (2019), 1604 –1625 (cited: 2) (cited: 2)
10.
A. Ahmedov, B. Turmetov ,S.F. Hj Ahmad Zabidi, “Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order”, Journal of Physics: Conference Series, 1212:1 (2019), 1 – 9
11.
V. V. Karachik, B. Kh. Turmetov, “On the Green’s Function for the Third Boundary Value Problem”, Siberian Advances in Mathematics, 29:1 (2019), 32 – 43. (cited: 3) (cited: 1)
12.
А. А. Сарсенби, Б. Х. Турметов, “Базисность системы собственных функций дифференциального оператора второго порядка с инволюцией”, Вестн. Удмуртск. ун-та. Матем. Мех. Компьют. науки, 29:2 (2019), 183–196
13.
Б. Х. Турметов, “Об одном обобщении задачи Робена для уравнения Лапласа”, Дифференциальные уравнения, 55:9 (2019), “1179 – 1187” (цит.: 1)
14.
B. Kh. Turmetov, M. A. Muratbekova, A. A. Ahmedov, “On solvability of some boundary value problems for the non-local polyharmonic equation with boundary operators of the Hadamard Type”, Journal of Physics: Conference Series, 1366 (2019), 012065 , 7 pp. https://iopscience.iop.org/article/10.1088/1742-6596/1366/1/012065/pdf
15.
V. V. Karachik, B. Kh. Turmetov, “On a class of Neumann type problems for polyharmonic equation”, AIP Conference Proceedings, 2172 (2019), “1 – 7” https://doi.org/10.1063/1.5133491
16.
B. Kh. Turmetov, R. N. Shamsiev, “On a boundary problem for a nonlocal Poisson equation with boundary operators of the Hadamard type”, AIP Conference Proceedings, 2183 (2019), 070027-1-070027-4. https://doi.org /10.1063 /1.5136189.
17.
Б. Х. Турметов, “О функции Грина аналога третьей краевой задачи для полигармонического уравнения”, Уфимск. матем. журн., 11:3 (2019), 79–88; B. Kh. Turmetov, “Green function for analogue of Robin problem for polyharmonic equation”, Ufa Math. J., 11:3 (2019), 78–87
2018
18.
B.Kh.Turmetov, “On a method for constructing a solution of integro-differential equations of fractional order”, Electronic Journal of Qualitative Theory of Differential Equations, 2018, no. 25, 1–14 https://doi.org/10.14232/ejqtde.2018.1.25 (cited: 2)
19.
B. Kh. Turmetov, M. Koshanova , K. Usmanov, “About solvability of some boundary value problems for Poisson equation in the ball conditions”, Filomat, 32:3 (2018), 939-946 (cited: 8)
20.
B. Kh. Turmetov, V. V. Karachik, “On solvability of some boundary value problems for a biharmonic equation with periodic conditions”, Filomat, 32:3 (2018), 947-953 (cited: 6) (cited: 8)
21.
В. В. Карачик, Б. Х. Турметов, “O функции Грина третьей краевой задачи для уравнения Пуассона”, Матем. тр., 21:1 (2018), 17–34 (цит.: 3) ; V. V. Karachik, B. Kh. Turmetov, “On the Green's Function\break for the Third Boundary Value Problem for the Poisson Equation”, Siberian Adv. Math., 29:1 (2019), 32–43 (cited: 1)
22.
B. Kh. Turmetov, “On Green’s function of certain boundary-value problems for the biharmonic equation”, AIP Conference Proceedings, 1997 (2018), 020056-1–020056-5
23.
B. Kh. Turmetov , K. Dz. Nazarova, “On One Generalization of the Neumann Problem for the Laplace Equation”, AIP Conference Proceedings, 1997 (2018), 020053-1–020053-6
2017
24.
M. A. Sadybekov, B. T. Torebek, B. Kh. Turmetov, “Representation of the Green’s function of the exterior Neumann problem for the Laplace operator”, Siberian Mathematical Journal, 58:1 (2017), 153–158 (cited: 25) (cited: 23) (cited: 23) (cited: 22); M. A. Sadybekov, B. T. Torebek, B. Kh. Turmetov, “Representation of the Green's function of the exterior Neumann problem for the Laplace operator”, Siberian Math. J., 58:1 (2017), 153–158 (cited: 23) (cited: 22)
Турметов Б. Х., “О разрешимости некоторых краевых задач для неоднородного полигармонического уравнения с граничными операторами типа Адамара”, Дифференциальные уравнения, 53:3 (2017), 343–354 (цит.: 4) (цит.: 5); B Kh Turmetov, “On the solvability of some boundary value problems for the inhomogeneous polyharmonic equation with boundary operators of the Hadamard type”, Differential Equations, 53:3 (2017), 333–344 (cited: 4) (cited: 5)
27.
S. Kerbal, B. J. Kadirkulov, B. Kh. Turmetov, “Solvability of a Nonlocal Boundary Value Problem Involving Fractional Derivative Operators”, Mathematical Modelling of Natural Phenomena, 12:3 (2017), 72–81 https://doi.org/10.1051/mmnp/201712307 (cited: 2) (cited: 2)
28.
B.Kh.Turmetov, “Construction of explicit solutions of fractional integral-differential equations of Volterra type”, AIP Conference Proceedings, 1880 (2017), 050013-1–050013-6
29.
V. V.Karachik, B.Kh.Turmetov, “On solvability of some Neumann-type boundary value problems for biharmonic equation”, Electronic Journal of Differential Equations, 2017:No 218 (2017), 1–17
30.
B. Turmetov , J. Abdullaev, “Analytic Solutions of Fractional Integro-Differential Equations of Volterra Type”, IOP Conf. Series: Journal of Physics:, 890 (2017), 012113 (cited: 1)
31.
B. Kh.Turmetov, “On Certain Operator Method for Solving Differential Equations”, Filomat, 31:13 (2017), 4275–4286 http://www.pmf.ni.ac.rs/pmf/publikacije/filomat/2017/31-13/31-13-25-3735.pdf
32.
Turmetov B.Kh., “Operator Method for Constructing a Solution of a Class of Linear Differential Equations of Fractional Order”, “Functional Analysis in Interdisciplinary Applications. FAIA 2017”. Springer Proceedings in Mathematics & Statistics, 216, eds. Kalmenov T.S., Nursultanov E.D., Ruzhansky M.V., Sadybekov M.A., Springer, 2017, 179–193
2016
33.
M. A.Sadybekov , B. T. Torebek , B. Kh.Turmetov, “Representation of Green’s function of the Neumann problem for a multi-dimensional ball”, Complex Variables and Elliptic Equations, V. 61.:№. 1 (2016), 104–123 (cited: 28)
34.
R.R.Ashurov, A.Cabada, B.Kh.Turmetov, “Operator method for construction of solutions of linear fractional differential equations with constant coefficients”, Fractional Calculus and Applied Analysis, 19:1 (2016), 229 –251 (cited: 13)
35.
Turmetov B.Kh., “On some boundary value problems for nonhomogenous polyharmonic equation with boundary operators of fractional order”, Acta Mathematica Scientia, 36:3 (2016), 831–846 (cited: 3) (cited: 3)
36.
Б. Х. Турметов, “Нормированные системы и их применение к построению решений дифференциальных уравнений дробного порядка”, Вестн. Южно-Ур. ун-та. Сер. Матем. Мех. Физ., 8:1 (2016), 28–33
37.
B. T. Torebek, B. Kh. Turmetov, “Questions on solvability of exterior boundary value problems with fractional boundary conditions”, Electronic Journal of Qualitative Theory of Differential Equations, 2016, no. 25, 1–14
38.
B. Kh. Turmetov, M. D. Koshanova, K. I. Usmanov., “About solvability of some boundary value problems for Poisson equation with Hadamard type boundary operator”, Electronic Journal of Differential Equations, 2016 (2016), 1-12 (cited: 1)
39.
M. Kirane, B. Kh. Turmetov, B. T. Torebek, A nonlocal fractional Helmholtz equation, 2016 , 10 pp., arXiv: https://arxiv.org/abs/1608.02135
40.
B. Kh. Turmetov, B T. Torebek, “On a class of fractional elliptic problems with an involution perturbation”, International Conference on Analysis and Applied Mathematics (ICAAM 2016) (Almaty, Kazakhstan date: 7–10 September 2016), AIP Conference Proceedings, 1759, 2016, 020070 , 6 pp.
41.
M. A. Sadybekov, B. T. Torebek, B. Kh. Turmetov, “Construction of Green’s function of the Neumann problem in a ball”, Eurasian Math. J., 7:2 (2016), 100–105 (cited: 1) (cited: 1)
42.
M. B. Borikhanov, B. Kh. Turmetov, “On construction of solutions of linear fractional differential equations with constant coefficients”, International Conference on Analysis and Applied Mathematics (ICAAM 2016) (Almaty, Kazakhstan date: 7–10 September 2016), AIP Conference Proceedings, 1759, 2016, 020151 , 6 pp. (cited: 1) (cited: 1)
43.
V. V. Karachik, S. K. Massanov, B. Kh. Turmetov, “On solvability of some boundary value problems for a biharmonic equation with periodic conditions”, International Conference on Analysis and Applied Mathematics (ICAAM 2016) (Almaty, Kazakhstan date: 7–10 September 2016), AIP Conference Proceedings, 1759, 2016, 020118 , 6 pp.
44.
M. D. Koshanova, K. I. Usmanov, B. Kh. Turmetov, “About solvability of some boundary value problems for Poisson equation in a ball”, International Conference on Analysis and Applied Mathematics (ICAAM 2016) (Almaty, Kazakhstan date: 7–10 September 2016), AIP Conference Proceedings, 1759, 2016, 020145 (2016) , 5 pp.
45.
Б. Х. Турметов, “О разрешимости одной краевой задачи для неоднородного полигармонического уравнения с граничным оператором дробного порядка”, Уфимск. матем. журн., 8:3 (2016), 160–175 (цит.: 1) (цит.: 1) ; B. Kh. Turmetov, “On solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator”, Ufa Math. Journal, 8:3 (2016), 155–170 (cited: 1) (cited: 1)
46.
B. Kh. Turmetov,V. V. Karachik, “About one boundary value problem for the biharmonic equation”, AIP Conference Proceedings, 1789 (2016), 040015-1–040015-6 (cited: 1)
47.
B. Kh. Turmetov, “On an exterior boundary value problem for the Laplace equation with boundary operator of fractional order”, AIP Conference Proceedings, 1789 (2016), 040014-1–040014 http://dx.doi.org/10.1063/1.4968467
48.
B K.Turmetov, K I. Usmanov, “On solvability of exterior boundary value problem with boundary operators of fractional order”, BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 84:4 (2016), 139-145 (cited: 2)
2015
49.
Б. Х. Турметов, “Solvability of fractional analogues of the Neumann problem for a nonhomogeneous biharmonic equation”, Electronic Journal of Differential Equations, 2015:No. 82. (2015), 1–21.
50.
B. Kh.Turmetov, B. T.Torebek, “Modified Bavrin operators and their applications”, Differential Equations, 51:2 (2015), 243–254 (cited: 13)
51.
A. S.Berdyshev, A. Cabada, B. Kh.Turmetov, “On solvability of some boundary value problem for polyharmonic equation with boundary operator of a fractional order”, APPLIED MATHEMATICAL MODELLING, 39:15 (2015), 4548–4569 (cited: 4) (cited: 1)
52.
M A. Sadybekov, B. Kh. Turmetov, B. T. Torebek, “On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle”, Advances in Pure and Applied Mathematics, 6:3 (2015), 163–172
53.
B. Kh. Turmetov, “On certain operator method for solving differential equations”, AIP Conference Proceedings, 1676 (2015), 020094-1-020094-6 (cited: 3) (cited: 1)
54.
B. T. Torebek, B. Kh. Turmetov, “On solvability of exterior boundary value problem with fractional boundary condition”, AIP Conference Proceedings, 1676 (2015), 020096-1-020096-5 (cited: 1)
55.
B. Kh.Turmetov, A.M.Myrzahasova, “On solvability of fractional analogues of the Neumann problem for biharmonic equation”, BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 79:3 (2015), 87-95
2014
56.
А. Е. Бекаева, В. В. Карачик, Б. Х. Турметов, “О разрешимости некоторых краевых задач для полигармонического уравнения с граничным оператором Адамара–Маршо”, Изв. вузов. Матем., 2014, № 7, 15–29 (цит.: 8); A. E. Bekaeva, V. V. Karachik, B. Kh. Turmetov, “On solvability of some boundary value problems for polyharmonic equation with Hadamard–Marchaud boundary operator”, Russian Math. (Iz. VUZ), 58:7 (2014), 11–24 (cited: 5)
57.
“B. Kh. Turmetov, B. T.Torebek”, “On solvability of some boundary value problems for a fractional analogue of the Helmholtz equation”, New York Journal of Mathematics, V 20 (2014), 1237–1251' (cited: 7)
58.
A. S. Berdyshev , A. Cabada ,B. Kh. Turmetov, “On solvability of a boundary value problem for a nonhomogeneous biharmonic equation with a boundary operator of a fractional order”, Acta Mathematica Scientia., 34B(6). (2014), 1695–1706 (cited: 22) (cited: 7)
59.
M. A.Sadybekov, B. Kh. Turmetov, B. T. Torebek, “SOLVABILITY OF NONLOCAL BOUNDARY-VALUE PROBLEMS FOR THE LAPLACE EQUATION IN THE BALL”, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014:157 (2014), 1-15 (cited: 36)
60.
M. A.Muratbekova, K.M.Shinaliyev, B. Kh. Turmetov, “On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator”, BOUNDARY VALUE PROBLEMS, 2014, no. 29, 1-15 (cited: 11) (cited: 12)
61.
M. A.Sadybekov, B. Kh. Turmetov, B. T. Torebek, “On an explicit form of the Green function of the third boundary value problem for the Poisson equation in a circle”, AIP Conference Proceedings, 1611 (2014), 255–260 (cited: 28) (cited: 28)
62.
M. A.Sadybekov, B. Kh. Turmetov, M. A Muratbekova, “On solvability of some nonlocal boundary value problems with the Hadamard boundary operator”, AIP Conference Proceedings, 1611 (2014), 266–270 (cited: 5)
63.
M. A.Садыбеков, B. Х.Турметов, “ОБ ОДНОМ АНАЛОГЕ ПЕРИОДИЧЕСКИХ КРАЕВЫХ ЗАДАЧ ДЛЯ УРАВНЕНИЯ ПУАССОНА В КРУГЕ.”, ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ, 50:2 (2014), 264–268 (цит.: 29) (цит.: 1)
64.
B. Kh.Turmetov, B. T.Torebek,Sh. Ontuganova, “Some problems for fractional analogue of laplace equation”, International Journal of Pure and Applied Mathematics, 94:4 (2014), 525–532
65.
B.kh.Turmetov , R.R.Ashurov, “On Solvability of the Neumann Boundary Value Problem for Non-homogeneous Biharmonic Equation”, British Journal of Mathematics & Computer Science, 2014, no. 4, 557–571
2013
66.
B. Kh. Turmetov, R. R.Ashurov, “On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball”, BOUNDARY VALUE PROBLEMS, 2013, no. 162, 1-15 (cited: 6)
67.
B. T.Torebek,B. Kh.Turmetov, “On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order”, BOUNDARY VALUE PROBLEMS, 2013, no. 93, 1-15 (cited: 20)
68.
B. Kh. Turmetov, K. M. Shinaliyev, “On a method for constructing solutions of differential equations of fractional order with a Hadamard type operator”, International Journal of Pure and Applied Mathematics, 84:4 (2013), 435–450
2012
69.
M. A. Sadybekov, B. K. Turmetov, “On analogues of periodic boundary value problems for the Laplace operator in a ball”, Eurasian Math. J., 3:1 (2012), 143–146 (cited: 16)
70.
А. С. Бердышев, Б. Х. Турметов, Б. Ж. Кадиркулов, “Некоторые свойства и применения интегродифференциальных операторов типа Адамара–Маршо в классе гармонических функций”, Сиб. матем. журн., 53:4 (2012), 752–764 (цит.: 15) (цит.: 15) (цит.: 6); A. S. Berdyshev, B. Kh. Turmetov, B. J. Kadirkulov, “Some properties and applications of the integrodifferential operators of Hadamard–Marchaud type in the class of harmonic functions”, Siberian Math. J., 53:4 (2012), 600–610 (cited: 15) (cited: 7) (cited: 15)
71.
K.M.Shinaliyev, B. Kh.Turmetov, S. R.Umarov, “A fractional operator algorithm method for construction of solutions of fractional order differential equations”, FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 15:2 (2012), 267–281 (cited: 7)
72.
V. V.Karachik,B. Kh. Turmetov,A. E.Bekaeva, “Solvability conditions of the neumann boundary value problem for the biharmonic equation in the unit ball”, International Journal of Pure and Applied Mathematics, 81:3 (2012), 487–495
2011
73.
В. В. Карачик, Б. Х. Турметов, Б. Т. Торебек, “О некоторых интегро-дифференциальных операторах в классе гармонических функций и их применении”, Матем. тр., 14:1 (2011), 99–125 (цит.: 22) (цит.: 5); V. V. Karachik, B. K. Turmetov, B. T. Torebek, “On some integro-differential operators in the class of harmonic functions and their applications”, Siberian Adv. Math., 22:2 (2012), 115–134 (cited: 13)
2010
74.
Б. Х. Турметов, Б. Т. Торебек, “О разрешимости аналога третьей краевой задачи с граничным оператором дробного порядка.”, Журнал СВМО, 12:3 (2010), 135–145 (цит.: 1)
2004
75.
Б. Х. Турметов, “О гладкости решения одной краевой задачи с граничным оператором дробного порядка”, Матем. тр., 7:1 (2004), 189–199 (цит.: 19) (цит.: 5); B. K. Turmetov, “On Smoothness of a Solution to a Boundary Value Problem with Fractional Order Boundary Operator”, Siberian Adv. Math., 15:2 (2005), 115–125
1996
76.
Б. Х. Турметов, “О гладкости решения одной краевой задачи в обобщенных классах Никольского”, Дифференц. уравнения, 32:10 (1996), 1421–1426; B. Kh. Turmetov, “On the smoothness of the solution of a boundary value problem in generalized Nikol'skiǐ classes”, Differ. Equ., 32:10 (1996), 1418–1423
77.
Б. Х. Турметов, “Об одной краевой задаче для гармонического уравнения”, Дифференц. уравнения, 32:8 (1996), 1089–1092 (цит.: 5) ; B. Kh. Turmetov, “On a boundary value problem for the harmonic equation”, Differ. Equ., 32:8 (1996), 1093–1096
1993
78.
Турметов Б. Х., Умаров С. Р.,, “Об одной краевой задаче для уравнения с дробным производным”, Доклады РАН, 333:4 (1993), 446–448; B. Kh. Turmetov, S. R. Umarov, “On a boundary value problem for an equation with a fractional
derivative”, Dokl. Math., 48:3 (1994), 579–582
2020
Пользовательское соглашение