Edit Profile (opens in new tab) Polyakov, Dmitriĭ Mikhaĭlovich Co-Author Distance Author ID: polyakov.dmitrii-mikhailovich Published as: Polyakov, D. M.; Polyakov, Dmitry M.; Polyakov, Dmitriĭ Mikhaĭlovich; Polyakov, Dmitriĭ M. more...less Documents Indexed: 39 Publications since 2000, including 2 Additional arXiv Preprints Co-Authors: 6 Co-Authors with 14 Joint Publications 101 Co-Co-Authors all top 5 Co-Authors 23 single-authored 5 Zvyagin, Andreĭ Viktorovich 4 Baskakov, Anatoliĭ Grigor’evich 3 Braeutigam, Irina N. 3 Zvyagin, Viktor Grigor’evich 2 Dikarev, Egor Evgen’evich 1 Kaluzhina, N. S. 1 Matus, Pëtr Paŭlavich all top 5 Serials 8 Differential Equations 4 Russian Mathematics 3 Mathematical Notes 3 Siberian Mathematical Journal 3 Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya Fizika, Matematika 2 Computational Mathematics and Mathematical Physics 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. B 1 Monatshefte für Mathematik 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Asymptotic Analysis 1 Topological Methods in Nonlinear Analysis 1 Sbornik: Mathematics 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Complex Analysis and Operator Theory 1 Ufimskiĭ Matematicheskiĭ Zhurnal all top 5 Fields 24 Operator theory (47-XX) 21 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 6 Fluid mechanics (76-XX) 4 Numerical analysis (65-XX) 1 Integral equations (45-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 131 times in 77 Documents Cited by ▼ Year ▼ The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential. Zbl 1441.47054 Baskakov, Anatoly G.; Polyakov, Dmitry M. 24 2017 Slowly varying at infinity operator semigroups. Zbl 1310.47059 Baskakov, A. G.; Kaluzhina, N. S.; Polyakov, D. M. 12 2014 Spectral analysis of a fourth-order differential operator with periodic and antiperiodic boundary conditions. Zbl 1360.34171 Polyakov, D. M. 11 2016 Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients. Zbl 06455461 Polyakov, D. M. 11 2015 Spectral properties of an even-order differential operator. Zbl 1353.47088 Polyakov, D. M. 6 2016 On solvability of a fluid flow alpha-model with memory. Zbl 1433.76014 Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, D. M. 6 2018 Method of similar operators in spectral analysis of a fourth-order nonself-adjoint operator. Zbl 1316.47040 Polyakov, D. M. 5 2015 Dissipative solvability of an alpha model of fluid flow with memory. Zbl 1435.35318 Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, Dmitriĭ M. 5 2019 On the asymptotics of eigenvalues of a third-order differential operator. Zbl 07222199 Braeutigam, I. N.; Polyakov, D. M. 5 2020 On the solvability of the Jeffreys-Oldroyd-\(\alpha\) model. Zbl 1352.35134 Zvyagin, A. V.; Polyakov, Dmitry M. 5 2016 Spectral properties of the Hill operator. Zbl 1371.34129 Baskakov, A. G.; Polyakov, Dmitry M. 5 2016 Spectral properties of the differential operator of fourth order. Zbl 1321.47101 Polyakov, D. M. 4 2012 A one-dimensional Schrödinger operator with square-integrable potential. Zbl 06935975 Polyakov, D. M. 4 2018 Nonlocal perturbation of a periodic problem for a second-order differential operator. Zbl 1462.34118 Polyakov, D. M. 4 2021 Spectral estimates for the fourth-order operator with matrix coefficients. Zbl 1454.34117 Polyakov, D. M. 3 2020 Formula for regularized trace of a second order differential operator with involution. Zbl 1460.34078 Polyakov, D. M. 3 2020 On the spectral characteristics of non-self-adjoint fourth-order operators with matrix coefficients. Zbl 07083435 Polyakov, D. M. 3 2019 Harmonic analysis of some classes of linear operators on a real Banach space. Zbl 1447.47024 Dikarev, E. E.; Polyakov, D. M. 2 2015 On spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions. Zbl 1343.34196 Polyakov, D. M. 2 2015 Asymptotics of eigenvalues of infinite block matrices. Zbl 1463.47059 Broĭtigam, Irina Nikolaevna; Polyakov, Dmitriĭ Mikhaĭlovich 2 2019 Sharp eigenvalue asymptotics of fourth-order differential operators. Zbl 1514.34142 Polyakov, Dmitry M. 2 2022 On the asymptotics of eigenvalues of a fourth-order differential operator with matrix coefficients. Zbl 1395.34085 Braeutigam, Irina N.; Polyakov, Dmitry M. 2 2018 Spectral properties of 1D Schrödinger operator. Zbl 1369.47006 Polyakov, D. M. 1 2016 Harmonic analysis of nonquasianalytic operators in a real Banach space. Zbl 1349.47008 Dikarev, E. E.; Polyakov, D. M. 1 2014 Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation. Zbl 1527.34131 Polyakov, Dmitry M. 1 2023 Spectral asymptotics of two-term even order operators with involution. Zbl 1494.34140 Polyakov, D. M. 1 2022 Spectral estimates for the fourth-order differential operator with periodic coefficients. Zbl 07659026 Polyakov, D. M. 1 2022 Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation. Zbl 1527.34131 Polyakov, Dmitry M. 1 2023 Sharp eigenvalue asymptotics of fourth-order differential operators. Zbl 1514.34142 Polyakov, Dmitry M. 2 2022 Spectral asymptotics of two-term even order operators with involution. Zbl 1494.34140 Polyakov, D. M. 1 2022 Spectral estimates for the fourth-order differential operator with periodic coefficients. Zbl 07659026 Polyakov, D. M. 1 2022 Nonlocal perturbation of a periodic problem for a second-order differential operator. Zbl 1462.34118 Polyakov, D. M. 4 2021 On the asymptotics of eigenvalues of a third-order differential operator. Zbl 07222199 Braeutigam, I. N.; Polyakov, D. M. 5 2020 Spectral estimates for the fourth-order operator with matrix coefficients. Zbl 1454.34117 Polyakov, D. M. 3 2020 Formula for regularized trace of a second order differential operator with involution. Zbl 1460.34078 Polyakov, D. M. 3 2020 Dissipative solvability of an alpha model of fluid flow with memory. Zbl 1435.35318 Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, Dmitriĭ M. 5 2019 On the spectral characteristics of non-self-adjoint fourth-order operators with matrix coefficients. Zbl 07083435 Polyakov, D. M. 3 2019 Asymptotics of eigenvalues of infinite block matrices. Zbl 1463.47059 Broĭtigam, Irina Nikolaevna; Polyakov, Dmitriĭ Mikhaĭlovich 2 2019 On solvability of a fluid flow alpha-model with memory. Zbl 1433.76014 Zvyagin, A. V.; Zvyagin, V. G.; Polyakov, D. M. 6 2018 A one-dimensional Schrödinger operator with square-integrable potential. Zbl 06935975 Polyakov, D. M. 4 2018 On the asymptotics of eigenvalues of a fourth-order differential operator with matrix coefficients. Zbl 1395.34085 Braeutigam, Irina N.; Polyakov, Dmitry M. 2 2018 The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential. Zbl 1441.47054 Baskakov, Anatoly G.; Polyakov, Dmitry M. 24 2017 Spectral analysis of a fourth-order differential operator with periodic and antiperiodic boundary conditions. Zbl 1360.34171 Polyakov, D. M. 11 2016 Spectral properties of an even-order differential operator. Zbl 1353.47088 Polyakov, D. M. 6 2016 On the solvability of the Jeffreys-Oldroyd-\(\alpha\) model. Zbl 1352.35134 Zvyagin, A. V.; Polyakov, Dmitry M. 5 2016 Spectral properties of the Hill operator. Zbl 1371.34129 Baskakov, A. G.; Polyakov, Dmitry M. 5 2016 Spectral properties of 1D Schrödinger operator. Zbl 1369.47006 Polyakov, D. M. 1 2016 Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients. Zbl 06455461 Polyakov, D. M. 11 2015 Method of similar operators in spectral analysis of a fourth-order nonself-adjoint operator. Zbl 1316.47040 Polyakov, D. M. 5 2015 Harmonic analysis of some classes of linear operators on a real Banach space. Zbl 1447.47024 Dikarev, E. E.; Polyakov, D. M. 2 2015 On spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions. Zbl 1343.34196 Polyakov, D. M. 2 2015 Slowly varying at infinity operator semigroups. Zbl 1310.47059 Baskakov, A. G.; Kaluzhina, N. S.; Polyakov, D. M. 12 2014 Harmonic analysis of nonquasianalytic operators in a real Banach space. Zbl 1349.47008 Dikarev, E. E.; Polyakov, D. M. 1 2014 Spectral properties of the differential operator of fourth order. Zbl 1321.47101 Polyakov, D. M. 4 2012 all cited Publications top 5 cited Publications all top 5 Cited by 47 Authors 25 Polyakov, Dmitriĭ Mikhaĭlovich 14 Baskakov, Anatoliĭ Grigor’evich 11 Uskova, Natal’ya Borisovna 7 Zvyagin, Viktor Grigor’evich 6 Bondarenko, Natalia P. 5 Krishtal, Ilya Arkadievich 5 Strukova, Irina Igor’evna 5 Zvyagin, Andreĭ Viktorovich 4 Orlov, Vladimir P. 3 Braeutigam, Irina N. 2 Cabri, Olgun 2 Smagina, T. I. 2 Strukov, Viktor Evgen’evich 2 Trishina, Irina Alevtinovna 1 Arsentiev, A. S. 1 Bichegkuev, Mairbek Suleĭmanovich 1 Boldyrev, A. S. 1 Didenko, D. B. 1 Dikarev, Egor Evgen’evich 1 Gao, Yixian 1 Garkavenko, Galina Valerievna 1 Geng, Ru 1 Kabantsova, Larisa Yur’evna 1 Kadirkulov, Bakhtiyor J. 1 Katsaran, T. K. 1 Kuznetsova, Mariya Andreevna 1 Li, Chenyu 1 Li, Kun 1 Malejki, Maria 1 Mammadova, Leĭla Ibragim kyzy 1 Mussirepova, Elmira 1 Nabiev, Ibragim Mail ogly 1 Nguyen Minh Hong 1 Piskarëv, S. I. 1 Sadovnichaya, Inna Viktorovna 1 Sarsenbi, Abdissalam A. 1 Sarsenbi, Abdizhahan Manapovich 1 Savchuk, Artem M. 1 Selivanova, N. Yu. 1 Turbin, Mikhail V. 1 Turmetov, Batirkhan Khudaybergenovich 1 Ustiuzhaninova, A. S. 1 Vasil’ev, Victor V. 1 Vysotskaya, Irina Alevtinovna 1 Wang, Yicao 1 Zhang, Maozhu 1 Zu, Jian all top 5 Cited in 28 Serials 14 Differential Equations 7 Journal of Mathematical Sciences (New York) 6 Russian Mathematics 5 Siberian Mathematical Journal 4 Mathematical Notes 4 Computational Mathematics and Mathematical Physics 4 Lobachevskii Journal of Mathematics 3 Mathematical Methods in the Applied Sciences 3 Results in Mathematics 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Journal of Mathematical Analysis and Applications 2 St. Petersburg Mathematical Journal 2 Eurasian Mathematical Journal 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Applied Mathematics and Computation 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Topological Methods in Nonlinear Analysis 1 Applied and Computational Harmonic Analysis 1 Opuscula Mathematica 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Izvestiya: Mathematics 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki all top 5 Cited in 18 Fields 39 Ordinary differential equations (34-XX) 34 Operator theory (47-XX) 21 Partial differential equations (35-XX) 9 Fluid mechanics (76-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Numerical analysis (65-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year