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## Astashova, Irina Viktorovna

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 Author ID: astashova.irina-v Published as: Astashova, I. V.; Astashova, Irina; Astashova, Irina V.; Astashova, Irina Viktorovna External Links: Math-Net.Ru
 Documents Indexed: 52 Publications since 2000 1 Contribution as Editor
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#### Serials

 14 Journal of Mathematical Sciences (New York) 5 Differential Equations 3 Functional Differential Equations 2 Russian Mathematical Surveys 2 Mathematica Bohemica 2 Journal of Natural Geometry 2 Tatra Mountains Mathematical Publications 2 Georgian Mathematical Journal 2 Boundary Value Problems 1 Transactions of the Moscow Mathematical Society 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 St. Petersburg Mathematical Journal 1 Memoirs on Differential Equations and Mathematical Physics 1 Opuscula Mathematica 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Mathematical Modelling and Analysis 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya
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#### Fields

 38 Ordinary differential equations (34-XX) 10 History and biography (01-XX) 9 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

34 Publications have been cited 89 times in 41 Documents Cited by Year
On quasi-periodic solutions to a higher-order Emden-Fowler type differential equation. Zbl 1325.34058
Astashova, Irina
2014
Application of dynamical systems to the study of asymptotic properties of solutions to nonlinear higher-order differential equations. Zbl 1093.37005
Astashova, I. V.
2005
On power and non-power asymptotic behavior of positive solutions to Emden-Fowler type higher-order equations. Zbl 1379.34047
Astashova, Irina
2013
On Kiguradze’s problem on power-law asymptotic behavior of blow-up solutions to Emden-Fowler type differential equations. Zbl 1367.34038
Astashova, Irina V.
2017
On asymptotical behavior of solutions to a quasi-linear second order differential equation. Zbl 1179.34051
Astashova, I. V.
2009
On asymptotic properties of the one-dimensional Schrödinger equation. Zbl 0945.34034
Astashova, Irina V.
2000
Uniform estimates for positive solutions of quasilinear differential equations. Zbl 1244.34055
Astashova, I. V.
2006
On asymptotic classification of solutions to nonlinear regular and singular third- and fourth-order differential equations with power nonlinearity. Zbl 1359.34047
Astashova, I. V.
2016
On the asymptotic behavior of a one-dimensional Schrödinger equation with complex coefficients. Zbl 1007.34080
Astashova, Irina V.
2001
Uniform estimates and existence of solutions with prescribed domain to nonlinear third-order differential equation. Zbl 1320.34055
Astashova, Irina
2013
Positive solutions with nonpower asymptotic behavior and quasiperiodic solutions to an Emden-Fowler type higher order equations. Zbl 1328.34014
Astashova, I. V.
2015
On asymptotic behavior of solutions to Emden-Fowler type higher-order differential equations. Zbl 1374.34096
Astashova, Irina
2015
On the asymptotic behavior at infinity of solutions to quasi-linear differential equations. Zbl 1224.34098
Astashova, Irina
2010
Asymptotic behavior of singular solutions of Emden-Fowler type equations. Zbl 1426.34065
Astashova, I. V.
2019
On existence of nonoscillatory solutions to quasilinear differential equations. Zbl 1135.34028
Astashova, Irina V.
2007
Uniform estimates for positive solutions of higher order quasilinear differential equations. Zbl 1238.34058
Astashova, I. V.
2008
On asymptotic behavior of blow-up solutions to higher-order differential equations with general nonlinearity. Zbl 1407.34049
Astashova, Irina V.
2018
On the dense controllability for the parabolic problem with time-distributed functional. Zbl 07005889
Astashova, Irina; Filinovskiy, Alexey V.
2018
On a model of optimal temperature control in hothouses. Zbl 1392.49028
Astashova, I. V.; Lashin, D. A.; Filinovskiy, A. V.
2016
Uniform estimates for positive solutions of quasi-linear ordinary differential equations. Zbl 1167.34010
Astashova, I. V.
2008
Uniform estimates for solutions to the third order Emden-Fowler type autonomous differential equation. Zbl 1236.34041
Astashova, I. V.
2011
Applying the factorization of a linear differential operator to the investigation of qualitative properties of solutions to higher-order quasilinear differential equations and inequalities. Zbl 1300.34070
Astashova, I. V.
2010
On asymptotic equivalence of $$n$$th order nonlinear differential equations. Zbl 06545445
Astashova, Irina
2015
On the asymptotic behavior of solutions of differential equations with a singular nonlinearity. Zbl 1315.34053
Astashova, I. V.
2014
Some problems in the qualitative theory of differential equations. Zbl 1041.34001
Astashova, I. V.; Filinovskij, A. V.; Kondratiev, V. A.; Muravej, L. A.
2003
On properties of minimizers of a control problem with time-distributed functional related to parabolic equations. Zbl 1442.35176
Astashova, I. V.; Filinovskiy, A. V.
2019
On a model of maintaining the optimal temperature in greenhouse. Zbl 1474.35609
Astashova, Irina Viktorovna; Filinovskiĭ, Alexeĭ Vladislavovich; Lashin, D. A.
2016
Asymptotics of oscillating solutions to equations with power nonlinearities. Zbl 1393.34051
Astashova, I. V.
2018
Asymptotic classification of solutions of singular 4th-order Emden-Fowler equations with a constant negative potential. Zbl 1411.34074
Astashova, I. V.
2018
Uniform estimates for positive solutions to quasi-linear differential equations of even order. Zbl 1187.34041
Astashova, I. V.
2006
On the asymptotic behavior of solutions of an equation of the Emden-Fowler type with a complex coefficient. Zbl 1167.34356
Astashova, I. V.
2007
On uniform estimates for positive solutions of nonlinear differential equations. Zbl 1153.34308
Astashova, I. V.
2007
Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013
Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A.
2013
Uniqueness of solutions to second order Emden-Fowler type equations with general power-law nonlinearity. Zbl 1471.34032
Astashova, I. V.
2021
Uniqueness of solutions to second order Emden-Fowler type equations with general power-law nonlinearity. Zbl 1471.34032
Astashova, I. V.
2021
Asymptotic behavior of singular solutions of Emden-Fowler type equations. Zbl 1426.34065
Astashova, I. V.
2019
On properties of minimizers of a control problem with time-distributed functional related to parabolic equations. Zbl 1442.35176
Astashova, I. V.; Filinovskiy, A. V.
2019
On asymptotic behavior of blow-up solutions to higher-order differential equations with general nonlinearity. Zbl 1407.34049
Astashova, Irina V.
2018
On the dense controllability for the parabolic problem with time-distributed functional. Zbl 07005889
Astashova, Irina; Filinovskiy, Alexey V.
2018
Asymptotics of oscillating solutions to equations with power nonlinearities. Zbl 1393.34051
Astashova, I. V.
2018
Asymptotic classification of solutions of singular 4th-order Emden-Fowler equations with a constant negative potential. Zbl 1411.34074
Astashova, I. V.
2018
On Kiguradze’s problem on power-law asymptotic behavior of blow-up solutions to Emden-Fowler type differential equations. Zbl 1367.34038
Astashova, Irina V.
2017
On asymptotic classification of solutions to nonlinear regular and singular third- and fourth-order differential equations with power nonlinearity. Zbl 1359.34047
Astashova, I. V.
2016
On a model of optimal temperature control in hothouses. Zbl 1392.49028
Astashova, I. V.; Lashin, D. A.; Filinovskiy, A. V.
2016
On a model of maintaining the optimal temperature in greenhouse. Zbl 1474.35609
Astashova, Irina Viktorovna; Filinovskiĭ, Alexeĭ Vladislavovich; Lashin, D. A.
2016
Positive solutions with nonpower asymptotic behavior and quasiperiodic solutions to an Emden-Fowler type higher order equations. Zbl 1328.34014
Astashova, I. V.
2015
On asymptotic behavior of solutions to Emden-Fowler type higher-order differential equations. Zbl 1374.34096
Astashova, Irina
2015
On asymptotic equivalence of $$n$$th order nonlinear differential equations. Zbl 06545445
Astashova, Irina
2015
On quasi-periodic solutions to a higher-order Emden-Fowler type differential equation. Zbl 1325.34058
Astashova, Irina
2014
On the asymptotic behavior of solutions of differential equations with a singular nonlinearity. Zbl 1315.34053
Astashova, I. V.
2014
On power and non-power asymptotic behavior of positive solutions to Emden-Fowler type higher-order equations. Zbl 1379.34047
Astashova, Irina
2013
Uniform estimates and existence of solutions with prescribed domain to nonlinear third-order differential equation. Zbl 1320.34055
Astashova, Irina
2013
Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013
Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon&rsquo;kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A.
2013
Uniform estimates for solutions to the third order Emden-Fowler type autonomous differential equation. Zbl 1236.34041
Astashova, I. V.
2011
On the asymptotic behavior at infinity of solutions to quasi-linear differential equations. Zbl 1224.34098
Astashova, Irina
2010
Applying the factorization of a linear differential operator to the investigation of qualitative properties of solutions to higher-order quasilinear differential equations and inequalities. Zbl 1300.34070
Astashova, I. V.
2010
On asymptotical behavior of solutions to a quasi-linear second order differential equation. Zbl 1179.34051
Astashova, I. V.
2009
Uniform estimates for positive solutions of higher order quasilinear differential equations. Zbl 1238.34058
Astashova, I. V.
2008
Uniform estimates for positive solutions of quasi-linear ordinary differential equations. Zbl 1167.34010
Astashova, I. V.
2008
On existence of nonoscillatory solutions to quasilinear differential equations. Zbl 1135.34028
Astashova, Irina V.
2007
On the asymptotic behavior of solutions of an equation of the Emden-Fowler type with a complex coefficient. Zbl 1167.34356
Astashova, I. V.
2007
On uniform estimates for positive solutions of nonlinear differential equations. Zbl 1153.34308
Astashova, I. V.
2007
Uniform estimates for positive solutions of quasilinear differential equations. Zbl 1244.34055
Astashova, I. V.
2006
Uniform estimates for positive solutions to quasi-linear differential equations of even order. Zbl 1187.34041
Astashova, I. V.
2006
Application of dynamical systems to the study of asymptotic properties of solutions to nonlinear higher-order differential equations. Zbl 1093.37005
Astashova, I. V.
2005
Some problems in the qualitative theory of differential equations. Zbl 1041.34001
Astashova, I. V.; Filinovskij, A. V.; Kondratiev, V. A.; Muravej, L. A.
2003
On the asymptotic behavior of a one-dimensional Schrödinger equation with complex coefficients. Zbl 1007.34080
Astashova, Irina V.
2001
On asymptotic properties of the one-dimensional Schrödinger equation. Zbl 0945.34034
Astashova, Irina V.
2000
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#### Cited by 30 Authors

 20 Astashova, Irina Viktorovna 4 Filinovskiĭ, Alexeĭ Vladislavovich 3 Bartušek, Miroslav 3 Došlá, Zuzana 2 Kon’kov, Andrej A. 2 Lashin, D. A. 2 Rogachev, V. V. 1 Astashova, V. I. 1 Blagoveshchenskiĭ, N. Yu. 1 Diblík, Josef 1 Dorociaková, Božena 1 Dulina, Kseniya Mikhaĭlovna 1 Filimonova, I. V. 1 Gamkredidze, R. V. 1 Gschwindl, Jürgen 1 Khachlaev, T. S. 1 Kiguradze, Ivan Tarielovich 1 Kiguradze, Tariel I. 1 Korchemkina, Tatiana 1 Korchemkina, Tat’yana Aleksandrovna 1 Korobko, Evgeniya 1 Marini, Mauro 1 Olach, Rudolf 1 Rachůnková, Irena 1 Romm, Ya. E. 1 Sergey, Zabolotskiy 1 Smirnov, Sergey 1 Staněk, Svatoslav 1 Vasil’ev, M. Yu. 1 Weinmüller, Ewa B.
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#### Cited in 21 Serials

 11 Journal of Mathematical Sciences (New York) 4 Functional Differential Equations 3 Differential Equations 3 Boundary Value Problems 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Applied Mathematics Letters 1 Computational Mathematics and Mathematical Physics 1 Cybernetics and Systems Analysis 1 Russian Mathematics 1 St. Petersburg Mathematical Journal 1 Georgian Mathematical Journal 1 Opuscula Mathematica 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Open Mathematics 1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya
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#### Cited in 10 Fields

 33 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)