Differential equations; spectral theory; boundary value problems; optimal equation; regular expansion and contraction of the operators; completeness and basis property of the root vectors; calculus of variations; equation of mixed type.
UDC:
517.9, 517.946, 517.988, 517.95
Subject:
spectral theory; boundary value problems;
Biography
Kalmenov T. Sh. was born in 1946, April, 6 in South Kazakhstan area. He have finished the mechanic-mathematical faculty of Novosibirsk state University in 1969 and the postgraduate course of Mathematical Institute of Siberian department of Science Academy of USSR in 1972. Kalmenov T. Sh. have defended a candidate thesis in 1973 and a doctor thesis in 1983 in Moscow State University named by M. V. Lomonosov and have got doctor degree. More than 100 scientific works have been published.
In 1978 — Lenin Comsomol Prize winner. In 1989 have been elected for corresponding member of science academy of Kazakh Soviet Socilist Republic. In 1996 have become a Honouzed Scientist of Republic of Kazakhstan.
Main publications:
Kalmenov T. Sh., “Kriterii edinstvennosti resheniya zadachi Darbu dlya odnogo vyrozhdayuschegosya giperbolicheskogo uravneniya”, Differentsialnye uravneniya, 7:1 (1971)
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
2021
2.
T. Sh. Kalmenov, A. K. Les, U. A. Iskakova, “Determination of density of elliptic potential”, Eurasian Math. J., 12:4 (2021), 43–52
T. Sh. Kal'menov, B. Derbissaly, “On the boundary conditions of the wave potential in a domain with a curviline borders”, Reports of AIAS, 19:1 (2019), 22–30
2017
4.
T. Sh. Kal'menov, B. T. Torebek, “On an ill-posed problem for the Laplace operator with nonlocal boundary condition”, Eurasian Math. J., 8:1 (2017), 50–57
T. Sh. Kal'menov, D. Suragan, “Inequalities for the Eigenvalues of the Riesz Potential”, Mat. Zametki, 102:6 (2017), 844–850; Math. Notes, 102:6 (2017), 770–775
T. Sh. Kal'menov, M. A. Sadybekov, “On a Frankl-type problem for a mixed parabolic-hyperbolic equation”, Sibirsk. Mat. Zh., 58:2 (2017), 298–304; Siberian Math. J., 58:2 (2017), 227–231
T. Sh. Kalmenov, “On the Bitsadze problem for a multidimensional hyperbolic equation”, Sib. J. Pure and Appl. Math., 17:3 (2017), 33–36; J. Math. Sci., 237:4 (2019), 546–548
2016
8.
T. Sh. Kal'menov, G. D. Arepova, “On a heat and mass transfer model for the locally inhomogeneous initial data”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:2 (2016), 124–129
T. Sh. Kal'menov, N. E. Tokmagambetov, “On a nonlocal boundary value problem for the multidimensional heat equation in a noncylindrical domain”, Sibirsk. Mat. Zh., 54:6 (2013), 1287–1293; Siberian Math. J., 54:6 (2013), 1023–1028
T. Sh. Kal'menov, D. Suragan, “Transfer of Sommerfeld radiation conditions to the boundary of a bounded domain”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012), 1063–1068
T. Sh. Kal'menov, A. Sh. Shaldanbaev, “On a recurrence method for solving a singularly perturbed Cauchy problem for a second order equation”, Mat. Tr., 13:2 (2010), 128–138; Siberian Adv. Math., 21:4 (2011), 274–281
T. Sh. Kal'menov, B. D. Koshanov, “Representation for the Green's function of the Dirichlet problem for polyharmonic equations in a ball”, Sibirsk. Mat. Zh., 49:3 (2008), 534–539; Siberian Math. J., 49:3 (2008), 423–428
M. A. Bimenov, T. Sh. Kal'menov, “A Test for the Completeness of the Root Vectors in the Tricomi Problem”, Differ. Uravn., 39:10 (2003), 1425–1426; Differ. Equ., 39:10 (2003), 1503–1505
1993
15.
T. Sh. Kal'menov, M. A. Sadybekov, N. E. Erzhanov, “A criterion for the strong solvability of the Tricomi problem for the Lavrent'ev–Bitsadze equation. The general case”, Differ. Uravn., 29:5 (1993), 870–875; Differ. Equ., 29:5 (1993), 745–750
1992
16.
A. Burkitov, T. Sh. Kal'menov, “On a uniform estimate for the asymptotic solution of the Cauchy problem for a singularly perturbed wave equation”, Differ. Uravn., 28:1 (1992), 33–41; Differ. Equ., 28:1 (1992), 31–39
1990
17.
T. Sh. Kal'menov, M. A. Sadybekov, “The Dirichlet problem and nonlocal boundary value problems for the wave equation”, Differ. Uravn., 26:1 (1990), 60–65; Differ. Equ., 26:1 (1990), 55–59
E. P. Eroshenkov, T. Sh. Kal'menov, “Completeness of the root vectors of the elliptic Bitsadze–Samarskii problem”, Dokl. Akad. Nauk SSSR, 296:3 (1987), 528–531; Dokl. Math., 36:2 (1988), 281–283
1986
19.
T. Sh. Kal'menov, “Regular selfadjoint boundary value problems for a multidimensional equation of mixed type”, Differ. Uravn., 22:10 (1986), 1745–1753
20.
B. U. Aubakirov, T. Sh. Kal'menov, “Local boundary value problems with departure from the characteristic for the Lavrent'ev–Bitsadze equation”, Differ. Uravn., 22:4 (1986), 700–702
1983
21.
T. Sh. Kal'menov, “Strong solutions of the Darboux and Tricomi problems”, Dokl. Akad. Nauk SSSR, 273:3 (1983), 535–538
22.
T. Sh. Kal'menov, “Spectrum of a boundary value problem with shift for the wave equation”, Differ. Uravn., 19:1 (1983), 75–78
T. Sh. Kal'menov, “Selfadjoint boundary value problems for the Tricomi equation”, Differ. Uravn., 19:1 (1983), 66–75
1982
24.
A. B. Bazarbekov, T. Sh. Kal'menov, “Criterion for the strong solvability of the Tricomi problem for the Lavrent'ev–Bitsadze equation in $L_p$ spaces”, Differ. Uravn., 18:2 (1982), 268–280
25.
T. Sh. Kal'menov, “Regular extensions of the semiminimal Lavrent'ev–Bitsadze operator”, Differ. Uravn., 18:1 (1982), 37–58
1981
26.
A. B. Bazarbekov, T. Sh. Kal'menov, “A criterion for strong solvability of the Tricomi problem for the Lavrent’ev–Bitsadze equation”, Dokl. Akad. Nauk SSSR, 261:2 (1981), 265–268
27.
T. Sh. Kal'menov, “Regular boundary value problems for the wave equation”, Differ. Uravn., 17:6 (1981), 1105–1121
28.
T. Sh. Kal'menov, M. O. Otelbaev, “Regular boundary value problems for the Lavrent'ev–Bicadze equation”, Differ. Uravn., 17:5 (1981), 873–885
1979
29.
T. Sh. Kal'menov, “The spectrum of the Tricomi problem for a fourth-order equation of mixed type”, Differ. Uravn., 15:2 (1979), 354–356
T. Sh. Kal'menov, “A criterion for the continuity of the solution of the Goursat problem for a certain degenerate equation”, Differ. Uravn., 8:1 (1972), 41–54
T. Sh. Kal'menov, “A criterion for the uniqueness of the solution of the Darboux problem for a certain degenerate hyperbolic equation”, Differ. Uravn., 7:1 (1971), 178–181
V. I. Burenkov, E. S. Smailov, T. Sh. Kalmenov, R. Oinarov, M. Otelbaev, “International scientific and practical conference “Analysis, differential equations and their applications” dedicated to the 100th anniversary of the birthday of corresponding member of Academy of Sciences of KazSSR Toleubay Idrisovich Amanov”, Eurasian Math. J., 14:4 (2023), 100–102
2021
38.
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
39.
V. A. Artamonov, V. S. Drenski, Yu. L. Ershov, M. V. Zaitsev, E. I. Zelmanov, T. Sh. Kal'menov, L. G. Makar-Limanov, A. A. Mikhalëv, A. V. Mikhalëv, V. N. Remeslennikov, N. S. Romanovskii, V. A. Roman'kov, I. P. Shestakov, “Ualbai Utmakhanbetovich Umirbaev (on his 60th birthday)”, Uspekhi Mat. Nauk, 76:2(458) (2021), 187–192; Russian Math. Surveys, 76:2 (2021), 373–378
2019
40.
I. V. Boykov, D. I. Boyarkin, S. M. Vdovin, P. A. Vel'misov, V. Z. Grines, I. M. Gubaydullin, Yu. N. Deryugin, D. K. Egorova, R. V. Zhalnin, V. T. Zhukov, T. Sh. Kal'menov, L. V. Klochkova, M. M. Krasnov, V. N. Krizsky, E. B. Kuznetsov, M. E. Ladonkina, T. Ph. Mamedova, V. F. Masyagin, P. P. Matus, N. D. Morozkin, S. M. Muryumin, O. A. Neklyudova, Yu. N. Orlov, A. Yu. Pavlov, E. E. Peskova, Yu. A. Poveschenko, I. P. Ryazantseva, V. I. Safonkin, P. V. Senin, G. A. Smolkin, S. I. Spivak, D. V. Suzan, L. A. Sukharev, A. O. Syromyasov, O. B. Feodoritova, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, N. G. Yarushkina, “To the seventieth anniversary of Vladimir Fedorovich Tishkin”, Zhurnal SVMO, 21:1 (2019), 111–113
2017
41.
T. Sh. Kalmenov, B. S. Baizhanov, “The conference "Contemporary problems of pure and applied mathematics" dedicated to the centenary of the birth of A. D. Taimanov”, Sib. Èlektron. Mat. Izv., 14 (2017), 66–68
V. I. Burenkov, E. D. Nursultanov, T. Sh. Kalmenov, R. Oinarov, M. Otelbaev, T. V. Tararykova, A. M. Temirkhanova, “EMJ: from Scopus Q4 to Scopus Q3 in two years?!”, Eurasian Math. J., 7:3 (2016), 6
O. V. Besov, V. I. Burenkov, T. Sh. Kalmenov, R. Oinarov, M. Otelbaev, E. S. Smailov, “On the 90th anniversary of Professor Toleubay Idrisovich Amanov (25.08.1923–21.06.1978)”, Eurasian Math. J., 4:3 (2013), 5–7
2012
44.
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
T. Sh. Kal'menov, “Поправки к статье: «О характеристической задаче Коши для одного класса вырождающихся
гиперболических уравнений» («Дифференц. уравнения», 9, № 1, 1973 г.)”, Differ. Uravn., 9:6 (1973), 1161