optimality conditions,
degenerated control systems,
covering mappings,
mathematical models in economics,
equilibrium prices.
Subject:
Optimal control theory, extremal problems, nonlinear analysis, theory of covering mappings and its applications in mathematical economics
Main publications:
A.V. Arutyunov, N.G. Pavlova, “Topological properties of attainability sets of linear systems”, Differential Equations, 40:11 (2004), 1645–1648
N.G. Pavlova, “2-regularity and 2-normality conditions for systems with impulsive controls”, Yugoslav Journal of Operations Research, 17:2 (2007), 149–164
A.V. Arutyunov, S.E. Zhukovskiy, N.G. Pavlova, “Equilibrium price as a coincidence point of two mappings”, Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013), 225–237
A.V. Arutyunov, N.G. Pavlova, A.A. Shananin, “Equilibrium prices in an economic equilibrium model”, Matem. Mod., 28:3 (2016), 3–22
N.G. Pavlova, A.O. Remizov, “On isomorphisms of pseudo-Euclidean spaces with signature (p,n − p) for p = 2,3”, Linear Algebra and its Applications, 2018, № 541, 60–80
A. M. Kotyukov, N. G. Pavlova, “complex system, equilibrium, covering map, coincidence point, elastisity”, UBS, 107 (2024), 6–27
2.
B. O. Volkov, O. A. Zagryadskii, N. G. Pavlova, A. O. Remizov, Elementy teorii dinamicheskikh sistem na ploskosti, Izd-vo MFTI, Moskva, 2024 , 104 pp. "Researchgate"
2023
3.
A. M. Kotyukov, N. G. Pavlova, “Equilibrium in Dynamic Market Models with Known Elasticity”, J. Math. Sci., 269:6 (2023), 847–852
N. D. Pazij, N. G. Pavlova, “Local analytic classification for quasi-linear implicit differential systems at transversal singular points”, J. Dyn. Control Syst., 28:3 (2022), 453–464
A. V. Arutyunov, N. G. Pavlova, “Equilibrium in market models described by differential equations”, Differ. Equ., 58:9 (2022), 1267–1276
6.
N. G. Pavlova, A. O. Remizov, “Oscillating and proper solutions of singular quasi-linear differential equations”, Adv. Syst. Sci. Appl., 22:4 (2022), 51–64
7.
N. G. Pavlova, A. O. Remizov, Introduction to Singularity Theory, MIPT, Moscow, 2022 , 181 pp. "Researchgate
2021
8.
N. G. Pavlova, A. O. Remizov, “Hyperbolic Roussarie fields with degenerate quadratic part”, Russian Math. Surveys, 76:2 (2021), 366–368
9.
N. G. Pavlova, A. O. Remizov, “Smooth Local Normal Forms of Hyperbolic Roussarie Vector Fields”, Moscow Math. Journal, 21:2 (2021), 413–426
A. V. Arutyunov, A. M. Kotyukov, N. G. Pavlova, “Equilibrium in Market Models with Known Elasticities”, Adv. Syst. Sci. Appl., 21:4 (2021), 130–144 "article.pdf"
2020
11.
A. M. Kotyukov, S. O. Nikanorov, N. G. Pavlova, “Local Normal Forms of Autonomous Quasi-Linear Constrained Differential Systems”, Adv. Syst. Sci. Appl., 20:1 (2020), 119–127 "article.pdf"
12.
N. G. Pavlova, “Applications of the Theory of Covering Maps to the Study of Dynamic Models of Economic Processes with Continuous Time”, Mathematical Analysis With Applications (CONCORD-90, Ekaterinburg, Russia 2018), Springer Proc. in Math. & Stat., 318, Springer, 2020, 123–129
N. G. Pavlova, A. O. Remizov, “Correction to the article “Smooth functions, formal series and Whitney theorems ””, Math. Ed., 2020, no. 1(93), 69
2019
14.
N. G. Pavlova, A. O. Remizov, “Completion of the classification of generic singularities of geodesic
flows in two classes of metrics”, Izv. Math., 83:1 (2019), 104–123
15.
N. G. Pavlova, “Study of the Continuous-Time Open Dynamic Leontief Model as a Linear Dynamical Control System”, Differ. Equ., 55:1 (2019), 113–119
2018
16.
N. G. Pavlova, A. O. Remizov, “On isomorphisms of pseudo-Euclidean spaces with signature (p,n-p) for p = 2,3”, Linear Algebra Appl., 541 (2018), 60–80
17.
N. G. Pavlova, A. O. Remizov, “A brief survey on singularities of geodesic flows in smooth signature changing metrics on 2-surfaces”, Advances in Singularities and Foliations: Geometry, Topology and Applications (Salvador, Brazil, 2015), Springer Proc. in Math. & Stat., 222, Springer, 2018, 135–155
18.
A. V. Arutyunov, N. G. Pavlova, A. A. Shananin, “New conditions for the existence of equilibrium prices”, Yugosl. J. Oper. Res., 28:1 (2018), 59–77
N. G. Pavlova, “Zamknutost tekhnologicheskogo mnozhestva v dinamicheskikh proizvodstvennykh modelyakh”, Vestnik Tambovskogo un-ta. Seriya: estestv. i tekhn. nauki, 23:124 (2018), 666–673
20.
N. G. Pavlova, “Necessary conditions for closedness of the technology set in dynamical Leontief model”, Eleventh International Conference “Management of large-scale system development” (MLSD) (Moskva, 1–3 oktyabrya 2018, IPU RAN), IEEE, 2018, 1–4
N. G. Pavlova, A. O. Remizov, “A complete classification of generic singularities of geodesic flows on 2-surfaces with pseudo-Riemannian metrics”, Russian Math. Surveys, 72:3 (2017), 577–579
22.
A. N. Kurbatskii, N. G. Pavlova, A. O. Remizov, “Singularities of geodesic flows and lines in pseudo-Finsler spaces. III”, Tambov University Reports. Series: Natural and Technical Sciences, 22:3 (2017), 539–551
23.
N. G. Pavlova, “On the application of the results of covering mappings theory for the study of dynamical models of economic processes”, Tambov University Reports. Series: Natural and Technical Sciences, 22:6 (2017), 1304–1308
24.
N. G. Pavlova, A. O. Remizov, “Smooth functions, formal series, Whitney theorems, finished”, Math. Ed., 2017, no. 3(83), 13–27
2016
25.
A. V. Arutyunov, N. G. Pavlova, A. A. Shananin, “Equilibrium prices in an economic equilibrium model”, Matem. Mod., 28:3 (2016), 3–22
26.
N. G. Pavlova, E. S. Belyakova, “O polozhenii ravnovesiya v modelyakh ekonomicheskogo ravnovesiya s tranzaktsionnymi izderzhkami”, Vestnik Tambovskogo un-ta. Seriya: estestv. i tekhn. nauki, 21:1 (2016), 9–16
27.
N. G. Pavlova, A. O. Remizov, “Smooth Functions, Formal Series, and Whitney Theorems”, Math. Ed., 2016, no. 3(79), 49–65
2015
28.
N. G. Pavlova, O. M. Bozhinskaya, “O topologicheskikh svoistvakh tekhnologicheskogo mnozhestva v dinamicheskoi modeli Leonteva s nepreryvnym vremenem”, Vestnik Tambovskogo un-ta. Seriya: estestv. i tekhn. nauki, 20:5 (2015), 1071–1078
2014
29.
N. G. Pavlova, A. E. Bolotin, “Prilozhenie teorii nakryvayuschikh otobrazhenii k issledovaniyu modeli Errou–Debre s tranzaktsionnymi izderzhkami”, Vestnik Tambovskogo un-ta. Seriya: estestv. i tekhn. nauki, 19:2 (2014), 357–364
30.
N. G. Pavlova, A. E. Bolotin, “Dostatochnye usloviya suschestvovaniya polozheniya ravnovesiya v modeli “spros-predlozhenie””, Vestnik Tambovskogo un-ta. Seriya: estestv. i tekhn. nauki, 19:2 (2014), 349–356
2013
31.
A. V. Arutyunov, S. E. Zhukovskiy, N. G. Pavlova, “Equilibrium price as a coincidence point of two mappings”, Comput. Math. Math. Phys., 53:2 (2013), 158–169
32.
N. G. Pavlova, “Issledovanie ekonomicheskikh modelei metodami teorii nakryvayuschikh otobrazhenii”, Vestnik Tambovskogo un-ta. Seriya: estestv. i tekhn. nauki, 18:5-2 (2013), 2621–2624
33.
S. E. Zhukovskii, N. G. Pavlova, “O prilozhenii teorii nakryvayuschikh otobrazhenii k issledovaniyu nelineinoi modeli rynka”, Vestnik Tambovskogo un-ta. Seriya: estestv. i tekhn. nauki, 18:1 (2013), 47–48
2011
34.
N. G. Pavlova, A. O. Remizov, “Geodesics on hypersurfaces in Minkowski space: singularities of signature change”, Russian Math. Surveys, 66:6 (2011), 1201–1203
35.
N. G. Pavlova, “Upravlyaemost traektorii v zadachakh optimalnogo upravleniya s fazovymi ogranicheniyami”, Vestnik Tambovskogo un-ta. Seriya: estestv. i tekhn. nauki, 16:4 (2011), 1140–1142
2010
36.
N. G. Pavlova, “Usloviya optimalnosti i upravlyaemosti dlya dinamicheskikh impulsnykh sistem”, Vestnik Tambovskogo un-ta. Seriya: estestv. i tekhn. nauki, 15:4 (2010), 692–695
2009
37.
N. G. Pavlova, “Lokalnaya upravlyaemost dinamicheskikh impulsnykh sistem”, Vestnik Tambovskogo un-ta. Seriya: estestv. i tekhn. nauki, 14:4 (2009), 714–715
38.
N. G. Pavlova, “Neobkhodimye usloviya ekstremuma dlya 2-normalnykh protsessov”, Vestnik RUDN. Seriya: Matematika, informatika, fizika., 2009, no. 1, 5–13 "Vestnik RUDN"
2008
39.
A. V. Arutyunov, N. G. Pavlova, “Lokalnaya upravlyaemost dinamicheskikh sistem s impulsnymi upravleniyami”, Differents. uravneniya, 44:8 (2008), 1145–1146
2007
40.
N. G. Pavlova, “2-regularity and 2-normality conditions for systems with impulsive controls”, Yugosl. J. Oper. Res., 17:2 (2007), 149–164
41.
N. G. Pavlova, “Neobkhodimye i dostatochnye usloviya ekstremuma dlya zadach optimalnogo impulsnogo upravleniya”, Vestnik Voronezhskogo un-ta. Seriya: fizika, matematika, 2007, no. 1, 105–111 "Vestnik VGU"
2004
42.
A. V. Arutyunov, N. G. Pavlova, “Topological properties of attainability sets of linear systems”, Differ. Equ., 40:11 (2004), 1645–1648
2024
