01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
13.04.1963
E-mail:
Keywords:
Media theorems,
noneuqlidian methrics.
Main publications:
Polovinkin I. P. Obraschenie teoremy o srednem znachenii dlya volnovogo uravneniya // Differentsialnye uravneniya. - 1991. - T. 27, N 11. - S. 1987–1990.
Ivanov L. A., Polovinkin I. P. O nekotorykh svoistvakh operatora Beltrami v rimanovoi metrike // Doklady Akademii nauk RF. - 1999, - T. 365, # 3. - S. 306–309.
Polovinkin I. P. O svoistvakh odnogo semeistva rimanovykh metrik // Vestnik Voronezhskogo gosudarstvennogo universiteta. Seriya: Fizika. Matematika. - 2005. - # 1. - S. 208–209.
Polovinkin I. P. O statsionarnykh nulyakh reshenii lineinykh ellipticheskikh uravnenii // Differentsialnye uravneniya. - 2013. - T. 49, # 1. - S. 132 – 136.
Polovinkin I. P. K teoremam o srednem znachenii dlya lineinykh uravnenii v chastnykh proizvodnykh // Trudy seminara imeni I.G. Petrovskogo. - T. 29. - Izdatelstvo Moskovskogo gosudarstvennogo universiteta, Moskva, 2013. - S. 396 – 404
Polovinkina, M. V., Debbouche, A., Polovinkin, I. P., & David, S. A. (2021). Stability of stationary solutions for the glioma growth equations with radial or axial symmetries. Mathematical Methods in the Applied Sciences.
Debbouche, A., Polovinkina, M.V., Polovinkin, I.P. et al. On the stability of stationary solutions in diffusion models of oncological processes. Eur. Phys. J. Plus 136, 131 (2021). https://doi.org/10.1140/epjp/s13360-020-01070-8
Polovinkina, M.V., Polovinkin, I.P. & Muglanov, A.L. Two-Point Mean Value Formulas. Lobachevskii J Math 41, 853–868 (2020). https://doi.org/10.1134/S1995080220050091
Polovinkin, I. P., & Polovinkina, M. V. (2020). Mean Value Theorems and Properties of Solutions of Linear Differential Equations. In Transmutation Operators and Applications (pp. 587-602). Birkhäuser, Cham.
S. M. Sitnik, M. V. Polovinkina, I. P. Polovinkin, “On recovery of the solution to the Cauchy problem for the singular heat equation”, Journal of Mathematical Sciences, 286:1 (2024), 158–171
2.
A. I. Shashkin, M. V. Polovinkina, I. P. Polovinkin, “On studying the spread model of the HIV/AIDS epidemic”, Proceedings of the Voronezh Winter Mathematical Krein School — 2024, CMFD, 70, no. 4, PFUR, M., 2024, 691–701
3.
S. M. Sitnik, M. V. Polovinkina, V. E. Fedorov, I. P. Polovinkin, “Recovery of the Laplace–Bessel operator of a function by the spectrum, which is specified not everywhere”, Proceedings of the Voronezh international winter mathematical school “Modern methods of function theory and related problems”, Voronezh, January 27 - February 1, 2023, Part 2, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 228, VINITI, Moscow, 2023, 52–57
4.
M. V. Polovinkina, I. P. Polovinkin, “On sufficient conditions for the stability of a stationary solution and on one effect in diffusion models of oncological processes”, Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin readings – XXXI”.
Voronezh, May 3-9, 2020, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 204, VINITI, Moscow, 2022, 115–123
5.
A. A. Kretov, M. V. Polovinkina, I. P. Polovinkin, “On some models in linguistics”, Proceedings of the Voronezh International Winter Mathematical School “Modern Methods of Function Theory and Related Problems”, Voronezh, January 28 - February 2, 2021, Part 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 206, VINITI, Moscow, 2022, 98–106
6.
M. V. Polovinkina, I. P. Polovinkin, S. A. Rabeeakh, “On the Huygens effect and points of hopelessness in the T. Puu macroeconomic model”, J. Math. Sci. (N. Y.), 288:6 (2025), 794–799
7.
M. V. Polovinkina, I. P. Polovinkin, “Remarks on the Paley–Wiener–Schwarz theorem for the Fourier–Bessel transform”, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 195, VINITI, Moscow, 2021, 81–87
8.
M. V. Polovinkina, I. P. Polovinkin, “On the stability of stationary states in diffusion models”, Taurida Journal of Computer Science Theory and Mathematics, 2021, no. 2, 88–101
9.
Sitnik S.M., Polovinkin I.P., Shishkina E.L., “Space of images of the mixed Riesz hyperbolic B-potential and analytic continuation”, J. Inverse Ill-Posed Probl., 27:2 (2019), 171–184
M. V. Polovinkina, I. P. Polovinkin, “On Properties of Riemannian metrics Associated with $B$-Elliptic Operators”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 170, 2019, 30–37
11.
A.L. Muglanov, I.P. Polovinkin, M.V.Polovinkina, “Two-point mean value formulas for some elliptic equations in spaces with constant curvature”, IOP Conf. Series: Journal of Physics: Conf. Series 973 (2018) 012056, 973 (2018)
V. Z. Meshkov, I. P. Polovinkin, “A Criterion for the Compactness of the Support of a Generalized Function (Distribution) in Terms of the Fourier–Laplace Transform”, Math. Notes, 96:1 (2014), 95–98
3. Lyakhov L.N., Polovinkin I.P., Shishkina E.L., “Formuly resheniya zadachi Koshi dlya singulyarnogo volnovogo uravneniya s operatorom Besselya po vremeni”, Doklady akademii nauk RF, 459:5 (2014), 533 -538
17.
I. P. Polovinkin, “O statsionarnykh nulyakh reshenii lineinykh ellipticheskikh uravnenii”, Differentsialnye uravneniya, 49:1 (2013), 132 – 136
18.
I. P. Polovinkin, “Mean value theorems for linear partial differential equations”, J. Math. Sci. (N. Y.), 197:3 (2014), 399–403
19.
V. Z. Meshkov, I. P. Polovinkin, “Otsenki dlya koeffitsientov odnorodnykh mnogochlenov”, Vestnik Voronezhskogo gosudarstvennogo universiteta. Seriya: Fizika. Matematika, 2013, no. 2, 236-241
20.
I. P. Polovinkin, “K issledovaniyu lineinoi modeli T.Pu dinamiki dokhodov s uchetom mezhregionalnoi torgovli”, Differentsialnye uravneniya, 48:6 (2012), 902 – 903
21.
I. P. Polovinkin, “Dopolneniya k svoistvam srednikh znachenii reshenii lineinykh differentsialnykh uravnenii s postoyannymi koeffitsientami”, Differentsialnye uravneniya, 47:11 (2011), 1669 – 1671
22.
V. Z. Meshkov, I. P. Polovinkin, “O poluchenii novykh formul srednego znacheniya dlya dineinykh differentsialnykh uravnenii s postoyannymi koeffitsientami”, Differentsialnye uravneniya, 47:12 (2011), 1724 – 1731
23.
I. P. Polovinkin, “O statsionarnykh nulyakh reshenii lineinykh ellipticheskikh uravnenii v chastnykh proizvodnykh”, Nauchnye vedomosti BelGU. seriya “Matematika. Fizika”, 5 (100):22 (2011), 99 - 105
24.
I. P. Polovinkin, “K issledovaniyam lineinoi nepreryvnoi modeli T. Pu raspredeleniya dokhoda”, Nauchnye vedomosti BelGU. Seriya Matematika. Fizika", 17 (112):24 (2011), 111 - 124
25.
I. P. Polovinkin, “Ob odnom sledstvii iz teoremy o srednem A.V. Bitsadze i A.M. Nakhusheva”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 13:11 (2011), 49 - 56
26.
I. P. Polovinkin, “K svoistvam reshenii lineinykh uravnenii v chastnykh proizvodnykh”, Vestnik Chelyabinskogo universiteta. Matematika. Mekhanika. Informatika, 12:23 (204) (2010), 59 – 66
27.
V. Z. Meshkov, I. P. Polovinkin, “Mean value properties of solutions of linear partial differential equations”, Journal of Mathematical Sciences, 160:1 (2009), 45 - 52
I. P. Polovinkin, “O simvolicheskom podkhode k izucheniyu svoistv srednikh znachenii reshenii lineinykh differentsialnykh uravnenii”, Sistemy upravleniya i informatsionnye tekhnologii, 2009, no. 3.1(37), 167-170
29.
I. P. Polovinkin, “O nekotorykh sledstviyakh iz teoremy o srednem A.V. Bitsadze i A.M. Nakhusheva dlya volnovogo uravneniya i ikh primeneniyakh”, Sistemy upravleniya i informatsionnye tekhnologii, 2009, no. 3.1(37), 193-195
30.
I. P. Polovinkin, “O mnozhestve beznadezhnosti v lineinoi nepreryvnoi modeli Pu raspredeleniya dokhoda”, Sistemy upravleniya i informatsionnye tekhnologii, 2008, no. 1.2(31), 253 -256
31.
I. P. Polovinkin, “O printsipe Gyuigensa v lineinoi nepreryvnoi modeli Pu raspredeleniya dokhoda”, Sistemy upravleniya i informatsionnye tekhnologii, 2008, no. 3(33), 18-20
I. P. Polovinkin, “Priblizhenie voln, udovletvoryayuschikh printsipu Gyuigensa, diffundiruyuschimi volnami”, Obozrenie prikladnoi i promyshlennoi matematiki, 14:2 (2007), 333 – 335
34.
V. Z. Meshkov, I. P. Polovinkin, “O svoistvakh srednikh znachenii reshenii lineinykh uravnenii v chastnykh proizvodnykh”, Obozrenie prikladnoi i promyshlennoi matematiki, 15:1 (2007), 161 -162
35.
I. P. Polovinkin, “Dvukhtochechnye teoremy o srednem dlya nekotorykh uravnenii vtorogo poryadka”, Obozrenie prikladnoi i promyshlennoi matematiki, 13:3 (2006), 533
36.
I. P. Polovinkin, “O nekotorykh aspektakh printsipa Gyuigensa v ekonomiko – matematicheskikh prilozheniyakh”, Obozrenie prikladnoi i promyshlennoi matematiki, 13:3 (2006), 533 – 534
I. P. Polovinkin, “Ob odnom semeistve singulyarnykh giperbolicheskikh uravnenii, udovletvoryayuschikh printsipu Gyuigensa”, Obozrenie prikladnoi i promyshlennoi matematiki, 12:3 (2005), 762
39.
V. Z. Meshkov, I. P. Polovinkin, M. E. Semenov, “Ob ustoichivosti statsionarnogo resheniya uravneniya Khotellinga”, Obozrenie prikladnoi i promyshlennoi matematiki, 9:1 (2002), 226 – 227
40.
L. A. Ivanov, I. P. Polovinkin, “O nekotorykh svoistvakh operatora Beltrami v rimanovoi metrike”, Doklady Akademii nauk RF, 365:3 (1999), 306 – 309
41.
I. P. Polovinkin, “K teoreme o srednem dlya volnovogo uravneniya”, Neklassicheskie uravneniya matematicheskoi fiziki, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1992, 50 – 62
42.
I. P. Polovinkin, “Obraschenie teoremy o srednem znachenii dlya volnovogo uravneniya”, Differentsialnye uravneniya, 27:11 (1991), 1987-1990
O. G. Avsyankin, V. P. Burskii, V. V. Goryainov, V. P. Zastavnyi, A. Yu. Ivanov, A. A. Kovalevsky, S. V. Konyagin, D. V. Lymanskyi, A. D. Manov, P. A. Masharov, L. L. Oridoroga, I. P. Polovinkin, S. M. Sitnik, È. L. Shishkina, “Valerii Vladimirovich Volchkov (on his sixtieth birthday)”, Russian Math. Surveys, 80:2 (2025), 359–364
Î âîññòàíîâëåíèè ôóíêöèé â âåñîâûõ ïðîñòðàíñòâàõ ïî íåïîëíûì äàííûì M. V. Polovinkina, I. P. Polovinkin VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev November 17, 2023 17:45
