| List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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| 1. |
A. V. Romanov, “Sharp estimates of the dimension of inertial manifolds for nonlinear parabolic equations”, Russian Acad. Sci. Izv. Math., 43:1 (1994), 31–47        |
| 2. |
A. V. Romanov, “Finite-dimensional limiting dynamics for dissipative parabolic equations”, Sb. Math., 191:3 (2000), 415–429 |
| 3. |
A. V. Romanov, “A formula and estimates for the solutions of the tangential Cauchy–Riemann equation”, Math. USSR-Sb., 28:1 (1976), 49–71 |
| 4. |
A. V. Romanov, “Three counterexamples in the theory of inertial manifolds”, Math. Notes, 68:3 (2000), 378–385  |
| 5. |
A. V. Romanov, G. M. Henkin, “Exact Hölder estimates for the solutions of the $\bar\partial$-equation”, Math. USSR-Izv., 5:5 (1971), 1180–1192 |
| 6. |
A. V. Romanov, “Finite-dimensional dynamics on attractors of non-linear parabolic equations”, Izv. Math., 65:5 (2001), 977–1001 |
| 7. |
A. V. Romanov, “Ergodic properties of discrete dynamical systems and enveloping semigroups”, Ergodic Theory and Dynam. Systems, 36:1 (2016), 198–214 , arXiv: 1309.6283
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7
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| 8. |
A. V. Romanov, “Weak${}^*$ convergence of operator means”, Izv. Math., 75:6 (2011), 1165–1183 |
| 9. |
A. V. Romanov, “On the limit dynamics of evolution equations”, Russian Math. Surveys, 51:2 (1996), 345–346 |
| 10. |
A. V. Romanov, “Spectral analysis of the Martinelli–Bochner operator for a ball in $\mathbb{C}^n$ and its applications”, Funct. Anal. Appl., 12:3 (1978), 232–234 |
| 11. |
A.V. Romanov, “Convergence of iterates of the Bochner–Martinelli operator, and the Caushy–Riemann equation”, Soviet Math. Dokl., 19:5 (1978), 1211–1215 |
| 12. |
A. V. Romanov, “A Parabolic Equation with Nonlocal Diffusion without a Smooth Inertial Manifold”, Math. Notes, 96:4 (2014), 548–555 , arXiv: 1306.4249 |
| 13. |
A. V. Romanov, “Dimension of a central manifold for semilinear parabolic equations”, Ukrainian Math. Journal, 42:10 (1990), 1205–1210 |
| 14. |
A.V. Romanov, “A formula and estimates for the solutions of the tangential Cauchy–Riemann equation”, Soviet Math. Dokl., 16:1 (1975), 124–128 |
| 15. |
A.V. Romanov, “Final dynamics of systems of nonlinear parabolic equations on the circle”, AIMS Mathematics, 6:12 (2021), 13407–13422 , arXiv: 2011.01822
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2
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| 16. |
A. V. Romanov, “Effective finite parametrization in phase spaces of parabolic equations”, Izv. Math., 70:5 (2006), 1015–1029 |
| 17. |
A. V. Romanov, “Asymptotic finite-dimensionality of semilinear parabolic equations”, Soviet Math. Dokl., 40:1 (1989), 122–125 |
| 18. |
L. A. Kondratieva, A. V. Romanov, “Inertial manifolds and limit cycles of dynamical systems in Rn”, Electronic Journal of Qualitative Theory of Differential Equations, 2019, no. 96, 1–11 , arXiv: 1911.03932
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| 19. |
A. V. Romanov, “On the hyperbolicity properties of inertial manifolds of reaction–diffusion equations”, Dynamics of Partial Differential Equations, 13:3 (2016), 263–272 , arXiv: 1602.08953
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| 20. |
A. V. Romanov, “Ordinary Semicascades and Their Ergodic Properties”, Funct. Anal. Appl., 47:2 (2013), 160–163 |
| 21. |
A. V. Romanov, “Conditions for asymptotic $k$-dimensionality of semilinear parabolic equations”, Russian Math. Surveys, 46:1 (1991), 255–256 |
| 22. |
A. V. Romanov, “Finite-Dimensional Reduction of Systems of Nonlinear Diffusion Equations”, Math. Notes, 113:2 (2023), 267–273 |
| 23. |
Liudmila Kondratieva and Aleksandr Romanov, “Self-oscillations in a certain Belousov–Zhabotinsky model”, Article Number 01011, XXII International Conference on Computational Mechanics and Modern Applied Software Systems (CMMASS'2021) (Alushta, Rossiya, 4-13 sentyabrya 2021.), MATEC Web of Conferences, 362, eds. N.S. Severina and M. Mikilyan, EDP Sciences, France, 2022, 1-7 |
| 24. |
A. V. Romanov, “Ergodic Properties of Tame Dynamical Systems”, Math. Notes, 106:2 (2019), 286–295 , arXiv: 1806.09132v3 |
| 25. |
A.V. Romanov, “On discrete semi-flows with universally measurable Ellis semigroup”, International Journal of Mathematical Analysis, 11:18 (2017), 863–867 |
| 26. |
A. V. Romanov, “Wold Decomposition in Banach Spaces”, Math. Notes, 82:6 (2007), 806–815 |
| 27. |
A. A. Belyaev, A. V. Romanov, “A variable-frequency oscillating system”, Geochemistry International, 25:5–8 (1988), 90–97 |
| 28. |
BELYAYEV, AA and ROMANOV, AV, “MODEL OF THE OSCILLATION SYSTEM WITH ALTERNATIVE FREQUENCY OF THE OSCILLATIONS”, Geokhimiya, 1987, no. 11, 1607-1614 |
| 29. |
A. V. Romanov, “On sufficient conditions for positive definiteness of radial functions in domains of Rn”, Soviet Math. Dokl., 26:3 (1982), 608–613 |
| 30. |
A. V. Romanov, “The Neumann method in boundary value problems for the Helmholtz equation”, Soviet Math. Dokl., 21:2 (1980), 431–435 |
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