01.01.02 (Differential equations, dynamical systems, and optimal control)
Keywords:
nonlinear differential equations, asymptotic behaviour of solutions, uniform estimates.
UDC:
517.925, 517.925.54
Subject:
Qualitative theory of ordinary differential equations
Main publications:
Astashova I. On power and non-power asymptotic behavior of positive solutions to Emden-Fowler type higher-order equations
//Advances in Difference Equations. SpringerOpen Journal, № 2013:220. DOI: 10.1186/1687-1847-2013-220, с. 1-15
I. V. Astashova, V. A. Nikishov, “On extensibility and qualitative properties of solutions to Riccati's equation”, Uspekhi Mat. Nauk, 79:2(476) (2024), 3–42; Russian Math. Surveys, 79:2 (2024), 189–227
2.
I. V. Astashova, D. A. Lashin, A. V. Filinovskii, “Extremum problems and control function estimates for a parabolic equation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1, 40–50; Moscow University Mathematics Bulletin, 79:1 (2024), 44–54
2023
3.
I. V. Astashova, D. A. Lashin, A. V. Filinovskii, “О свойствах управляющей функции в экстремальной задаче с точечным наблюдением для параболического уравнения”, Tr. Semim. im. I. G. Petrovskogo, 33 (2023), 8–19
2022
4.
V. G. Romanov, V. V. Vedenyapin, V. V. Vasin, O. A. Kovyrkina, V. V. Ostapenko, V. F. Tishkin, I. V. Astashova, D. A. Lashin, A. V. Filinovskii, “Erratum to: Several Articles in Doklady Mathematics”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022), 404–405; Dokl. Math., 106:2 (2022), 404–405
5.
I. V. Astashova, D. A. Lashin, A. V. Filinovskii, “On the extremum control problem with pointwise observation for a parabolic equation”, Dokl. RAN. Math. Inf. Proc. Upr., 504 (2022), 28–31; Dokl. Math., 105:3 (2022), 158–161
I. V. Astashova, D. A. Sokolov, “Periodic solutions of a fourth-order nonlinear spectral problem”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 192 (2021), 20–25
I. V. Astashova, “Atypicality of power-law solutions to Emden-Fowler type higher order equations”, Algebra i Analiz, 31:2 (2019), 152–173; St. Petersburg Math. J., 31:2 (2019), 297–311
I. V. Astashova, D. A. Lashin, A. V. Filinovskii, “Control with point observation for a parabolic problem with convection”, Tr. Mosk. Mat. Obs., 80:2 (2019), 259–274; Trans. Moscow Math. Soc., 80 (2019), 221–234
I. V. Astashova, A. V. Filinovskiy, “Controllability and exact controllability in a problem of heat transfer with convection and time distributed functional”, Tr. Semim. im. I. G. Petrovskogo, 32 (2019), 57–71; J. Math. Sci. (N. Y.), 244:2 (2020), 148–157
I. V. Astashova, “Asymptotics of oscillating solutions to equations with power nonlinearities”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132 (2017), 7–11; J. Math. Sci. (N. Y.), 230:5 (2018), 651–655
I. V. Astashova, “Asymptotic classification of solutions of singular 4th-order Emden–Fowler equations with a constant negative potential”, Tr. Semim. im. I. G. Petrovskogo, 31 (2016), 3–21; J. Math. Sci. (N. Y.), 234:4 (2018), 385–396
I. V. Astashova, D. A. Lashin, A. V. Filinovskiy, “On a model of optimal temperature control in hothouses”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2016, no. 3-4, 14–23
I. V. Astashova, “On oscillation of solutions to quasi-linear Emden–Fowler type higher-order differential equations”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 6(128), 12–22
2014
14.
I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, N. A. Izobov, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, I. V. Matrosov, V. V. Palin, N. Kh. Rozov, M. S. Romanov, I. N. Sergeev, E. V. Radkevich, O. S. Rozanova, I. V. Filimonova, A. V. Filinovskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Scientific heritage of Vladimir Mikhailovich Millionshchikov”, Tr. Semim. im. I. G. Petrovskogo, 30 (2014), 5–41; J. Math. Sci. (N. Y.), 210:2 (2015), 115–134
2013
15.
I. V. Astashova, “Uniform estimates of solutions of a nonlinear third-order differential equation”, Tr. Semim. im. I. G. Petrovskogo, 29 (2013), 146–161; J. Math. Sci. (N. Y.), 197:2 (2014), 237–247
2008
16.
I. V. Astashova, “Uniform estimates for positive solutions of quasi-linear ordinary differential equations”, Izv. RAN. Ser. Mat., 72:6 (2008), 85–104; Izv. Math., 72:6 (2008), 1141–1160
I. V. Astashova, “Uniform Estimates for Positive Solutions of Higher Order Quasilinear Differential Equations”, Trudy Mat. Inst. Steklova, 261 (2008), 26–36; Proc. Steklov Inst. Math., 261 (2008), 22–33
2007
18.
I. V. Astashova, “Uniform estimates of positive solutions to quasi-linear differential equations”, Tr. Semim. im. I. G. Petrovskogo, 26 (2007), 29–38; J. Math. Sci. (N. Y.), 143:4 (2007), 3198–3204
I. V. Astashova, “On uniform estimates for solutions to quasi-linear differential equations”, Fundam. Prikl. Mat., 12:5 (2006), 3–9; J. Math. Sci., 150:6 (2008), 2455–2459
20.
I. V. Astashova, “Uniform estimates for positive solutions to quasi-linear differential equations of even order”, Tr. Semim. im. I. G. Petrovskogo, 25 (2006), 21–34; J. Math. Sci. (N. Y.), 135:1 (2006), 2616–2624
I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, A. Goritsky, N. V. Denisova, Yu. S. Ilyashenko, T. O. Kapustina, A. A. Kon'kov, V. V. Palin, E. V. Radkevich, V. V. Rogachev, O. S. Rozanova, M. S. Romanov, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, G. A. Chechkin, A. S. Shamaev, M. V. Shamolin, T. A. Shaposhnikova, “К 70-летию Валерия Васильевича Козлова”, Tr. Semim. im. I. G. Petrovskogo, 33 (2023), 3–7
2020
22.
I. V. Astashova, A. V. Borovskikh, G. Yu. Riznichenko, “In memory of Rozov Nikolai Khristovich”, Computer Research and Modeling, 12:6 (2020), 1265–1267
23.
A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Uspekhi Mat. Nauk, 75:2(452) (2020), 185–190; Russian Math. Surveys, 75:2 (2020), 369–375
2018
24.
Yu. A. Alkhutov, I. V. Astashova, V. I. Bogachev, V. N. Denisov, V. V. Kozlov, S. E. Pastukhova, A. L. Piatnitski, V. A. Sadovnichii, A. M. Stepin, A. S. Shamaev, A. A. Shkalikov, “Vasilii Vasil'evich Zhikov (obituary)”, Uspekhi Mat. Nauk, 73:3(441) (2018), 169–176; Russian Math. Surveys, 73:3 (2018), 533–542
2015
25.
I. V. Astashova, L. S. Pulkina, “Vladimir Alexandrovich Kondratiev (on the 80 anniversary from the date of birth)”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 6(128), 9–11
2011
26.
M. S. Agranovich, I. V. Astashova, L. A. Bagirov, V. V. Vlasov, V. V. Zhikov, Yu. S. Ilyashenko, V. V. Kozlov, A. A. Kon'kov, S. I. Pokhozhaev, E. V. Radkevich, N. Kh. Rozov, I. N. Sergeev, A. L. Skubachevskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Vladimir Alexandrovich Kondratiev. July 2, 1935 – March 11, 2010”, CMFD, 39 (2011), 5–10; Journal of Mathematical Sciences, 190:1 (2013), 1–7
27.
I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. Yu. Goritskii, N. V. Denisova, V. V. Zhikov, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, I. V. Matrosov, E. V. Radkevich, O. S. Rozanova, È. R. Rozendorn, N. Kh. Rozov, M. S. Romanov, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Olga Arsenjevna Oleinik”, Tr. Semim. im. I. G. Petrovskogo, 28 (2011), 5–7; J. Math. Sci. (N. Y.), 179:3 (2011), 345–346
2010
28.
I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, V. V. Kozlov, V. A. Kondratiev, A. A. Kon'kov, N. Kh. Rozov, I. N. Sergeev, V. N. Chubarikov, A. T. Fomenko, A. S. Shamaev, “To memory of Vladimir Mikhailovich Millionshchikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 2, 71–72
2007
29.
I. V. Astashova, L. A. Bagirov, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, G. V. Grishina, N. V. Denisova, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, I. V. Matrosov, V. M. Millionshchikov, V. A. Nikishkin, E. V. Radkevich, O. S. Rozanova, È. R. Rozendorn, N. Kh. Rozov, V. A. Sadovnichii, V. S. Samovol, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, A. F. Filippov, T. S. Khachlaev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Vladimir Alexandrovich Kondratiev on the 70th anniversary of his birth”, Tr. Semim. im. I. G. Petrovskogo, 26 (2007), 5–28; J. Math. Sci. (N. Y.), 143:4 (2007), 3183–3197
2005
30.
V. A. Il'in, V. V. Kozlov, V. A. Sadovnichii, I. V. Astashova, A. A. Kon'kov, V. M. Millionshchikov, E. V. Radkevich, N. Kh. Rozov, A. V. Filinovskii, A. S. Shamaev, “Vladimir Aleksandrovich Kondrat'ev (A Tribute in Honor of His 70th Birthday)”, Differ. Uravn., 41:7 (2005), 867–873; Differ. Equ., 41:7 (2005), 909–914
31.
I. V. Astashova, L. A. Bagirov, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, G. V. Grishina, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, O. B. Lupanov, I. V. Matrosov, V. M. Millionshchikov, V. A. Nikishkin, E. V. Radkevich, O. S. Rozanova, È. R. Rozendorn, N. Kh. Rozov, V. A. Sadovnichii, V. S. Samovol, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, A. F. Filippov, T. S. Khachlaev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, A. A. Shkalikov, “Vladimir Aleksandrovich Kondrat'ev”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 5, 77–79
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