×
Author ID: rodkina.alexandra Recent zbMATH articles by "Rodkina, Alexandra"
Published as: Rodkina, Alexandra; Rodkina, A. E.; Rodkina, A.
External Links: MGP
Documents Indexed: 129 Publications since 1973, including 2 Books and 5 Additional arXiv Preprints
Reviewing Activity: 365 Reviews
Co-Authors: 38 Co-Authors with 93 Joint Publications
988 Co-Co-Authors
all top 5

Serials

9 Journal of Difference Equations and Applications
8 Functional Differential Equations
6 Differentsial’nye Uravneniya
6 Differential Equations
6 Discrete and Continuous Dynamical Systems
4 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
4 Discrete and Continuous Dynamical Systems. Series B
4 Stochastics
3 Computers & Mathematics with Applications
3 Dynamic Systems and Applications
2 Ukrainian Mathematical Journal
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Mathematics and Computers in Simulation
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Systems & Control Letters
2 Stochastic Analysis and Applications
2 Physica D
2 LMS Journal of Computation and Mathematics
2 Advances in Difference Equations
2 Cubo
1 Applicable Analysis
1 Stochastics
1 Ukraïns’kyĭ Matematychnyĭ Zhurnal
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
1 Automatica
1 IEEE Transactions on Automatic Control
1 Journal of Soviet Mathematics
1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae
1 IMA Journal of Mathematical Control and Information
1 MCSS. Mathematics of Control, Signals, and Systems
1 Automation and Remote Control
1 Stochastics and Stochastics Reports
1 Buletinul Academiei de Științe a Republicii Moldova. Matematica
1 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal
1 Chaos
1 Discrete Dynamics in Nature and Society
1 Applied Mathematics E-Notes
1 Stochastics and Dynamics
1 Matemáticas: Enseñanza Universitaria (Nueva Serie)
1 International Journal of Numerical Analysis and Modeling
1 International Journal of Difference Equations
1 Operator Theory: Advances and Applications

Publications by Year

Citations contained in zbMATH Open

77 Publications have been cited 984 times in 760 Documents Cited by Year
Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob. Zbl 0748.47045
Akhmerov, R. R.; Kamenskii, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskii, B. N.
323
1992
Robust stability of uncertain stochastic differential delay equations. Zbl 0909.93054
Mao, Xuerong; Koroleva, Natalia; Rodkina, Alexandra
75
1998
Stabilization and destabilization of nonlinear differential equations by noise. Zbl 1367.93692
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
75
2008
Measures of noncompactness and condensing operators. (Меры некомпактности и уплотняющие операторы.) Zbl 0623.47070
Akhmerov, R. R.; Kamenskiĭ, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskiĭ, B. N.
48
1986
On delay-dependent stability for a class of nonlinear stochastic systems with multiple state delays. Zbl 1154.34044
Basin, Michael; Rodkina, Alexandra
45
2008
Almost sure asymptotic stability of drift-implicit \(\theta\)-methods for bilinear ordinary stochastic differential equations in \(\mathbb R^1\). Zbl 1073.65009
Rodkina, Alexandra; Schurz, Henri
29
2005
On stochastic stabilization of difference equations. Zbl 1115.39008
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
26
2006
On delay-dependent stability for vector nonlinear stochastic delay-difference equations with Volterra diffusion term. Zbl 1124.93066
Rodkina, Alexandra; Basin, Michael
26
2007
Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise. Zbl 1177.39020
Appleby, John A. D.; Berkolaiko, Gregory; Rodkina, Alexandra
23
2009
On delay-dependent stability for a class of nonlinear stochastic delay-differential equations. Zbl 1103.93043
Rodkina, Alexandra; Basin, Michael
18
2006
Preserving positivity in solutions of discretised stochastic differential equations. Zbl 1208.65013
Appleby, John A. D.; Guzowska, Małgorzata; Kelly, Cónall; Rodkina, Alexandra
18
2010
On existence and uniqueness of solution of stochastic differential equations with heredity. Zbl 0568.60062
Rodkina, A. E.
17
1984
Almost sure convergence of solutions to non-homogeneous stochastic difference equation. Zbl 1099.39002
Berkolaiko, Gregory; Rodkina, Alexandra
13
2006
Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations. Zbl 1294.60093
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
13
2012
On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations. Zbl 1155.39003
Appleby, J.; Berkolaiko, G.; Rodkina, A.
12
2008
Stabilisation of difference equations with noisy prediction-based control. Zbl 1364.39018
Braverman, E.; Kelly, C.; Rodkina, A.
12
2016
Characterisation of the asymptotic behaviour of scalar linear differential equations with respect to a fading stochastic perturbation. Zbl 1306.60066
Appleby, John A. D.; Cheng, Jian; Rodkina, Alexandra
9
2011
Almost sure stability of some stochastic dynamical systems with memory. Zbl 1148.39011
Rodkina, Alexandra; Schurz, Henri; Shaikhet, Leonid
9
2008
On boundedness and stability of solutions of nonlinear difference equation with nonmartingale type noise. Zbl 1016.39004
Rodkina, Alexandra; Mao, Xuerong
7
2001
On the local dynamics of polynomial difference equations with fading stochastic perturbations. Zbl 1192.39016
Appleby, John; Kelly, Cónall; Mao, Xuerong; Rodkina, Alexandra
7
2010
Stochastic control stabilizing unstable or chaotic maps. Zbl 1411.39009
Braverman, Elena; Rodkina, Alexandra
7
2019
Global asymptotic stability of solutions of cubic stochastic difference equations. Zbl 1079.39012
Rodkina, Alexandra; Schurz, Henri
7
2004
Stabilization of two cycles of difference equations with stochastic perturbations. Zbl 1295.39014
Braverman, Elena; Rodkina, Alexandra
7
2013
Exponential stability of stochastic differential equations driven by discontinuous semimartingales. Zbl 0886.60058
Mao, Xuerong; Rodkina, A. E.
6
1995
Martingale approach to the procedures of stochastic approximation. Zbl 0815.62054
Mel’nikov, A. V.; Rodkina, A. E.
6
1993
On asymptotic behaviour of solutions of stochastic difference equations with Volterra type main term. Zbl 0979.60054
Rodkina, Alexandra; Mao, Xuerong; Kolmanovskii, Vladimir
6
2000
On asymptotic behaviour of solutions of stochastic difference equations. Zbl 1042.39502
Rodkina, Alexandra
6
2001
Difference equations of Ricker and logistic types under bounded stochastic perturbations with positive mean. Zbl 1350.65140
Braverman, E.; Rodkina, A.
6
2013
On asymptotic stability and instability with respect to a fading stochastic perturbation. Zbl 1168.60351
Appleby, John A. D.; Gleeson, James P.; Rodkina, Alexandra
6
2009
Stability analysis of stochastic Ricker population model,. Zbl 1099.92071
Hritonenko, Natali; Rodkina, Alexandra; Yatsenko, Yuri
5
2006
On asymptotic behavior of solutions to linear discrete stochastic equation. Zbl 1381.93094
Rodkina, Alexandra; Berkolaiko, Gregory
5
2004
Stabilization of difference equations with noisy proportional feedback control. Zbl 1361.39009
Braverman, Elena; Rodkina, Alexandra
5
2017
Constrained stability and instability of polynomial difference equations with state-dependent noise. Zbl 1185.39014
Kelly, Cónall; Rodkina, Alexandra
5
2009
Adaptive timestepping for pathwise stability and positivity of strongly discretised nonlinear stochastic differential equations. Zbl 1385.37070
Kelly, Cónall; Rodkina, Alexandra; Rapoo, Eeva Maria
5
2018
On difference equations with asymptotically stable 2-cycles perturbed by a decaying noise. Zbl 1268.39020
Braverman, E.; Rodkina, A.
5
2012
The theory of equations of neutral type. Zbl 0519.34046
Akhmerov, R. R.; Kamenskij, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskij, B. N.
4
1982
Theory of equations of neutral type. Zbl 0536.34044
Akhmerov, R. R.; Kamenskij, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskij, B. N.
4
1984
On the aysmptotic behavior of the moments of solutions of stochastic difference equations. Zbl 1127.39003
Appleby, J.; Berkolaiko, G.; Rodkina, A.
4
2007
Stochastic difference equations with the Allee effect. Zbl 1351.39011
Rodkina, Alexandra; Braverman, Elena
4
2016
On stability of some nonlinear scalar differential equations. Zbl 1070.34096
Rodkina, Alexandra; Nosov, Valery
4
2003
Razumikhin-type theorems for neutral stochastic functional differential equations. Zbl 1050.34526
Mao, X.; Rodkina, A.; Koroleva, N.
4
1998
Asymptotic stability of polynomial stochastic delay differential equations with damped perturbations. Zbl 1090.34065
Appleby, J.; Rodkina, A.
4
2005
Pathwise non-exponential decay rates of solutions of scalar nonlinear stochastic differential equations. Zbl 1131.93052
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
4
2006
Instability and stability of solutions of systems of nonlinear stochastic difference equations with diagonal noise. Zbl 1291.39041
Rodkina, Alexandra; Dokuchaev, Nikolai
3
2014
On positivity and boundedness of solutions of nonlinear stochastic difference equations. Zbl 1205.39020
Rodkina, Alexandra; Schurz, Henri
3
2009
Non-positivity and oscillations of solutions of nonlinear stochastic difference equations with state-dependent noise. Zbl 1198.39032
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
3
2010
On local stability of stochastic delay nonlinear discrete systems with state-dependent noise. Zbl 1433.39006
Diblík, J.; Rodkina, A.; Šmarda, Z.
3
2020
On delay-dependent stability for a class of nonlinear stochastic delay-difference equations. Zbl 1086.39012
Rodkina, Alexandra; Basin, Michael
3
2005
Almost sure instability of the equilibrium solution of a Milstein-type stochastic difference equation. Zbl 1350.39011
Kelly, Cónall; Palmer, Peter; Rodkina, Alexandra
3
2013
Growth rates of delay-differential equations and uniform Euler schemes. Zbl 1172.65035
Appleby, J. A. D.; McCarthy, M.; Rodkina, A.
3
2009
On limit periodicity of discrete time stochastic processes. Zbl 1300.93156
Rodkina, Alexandra; Dokuchaev, Nikolai; Appleby, John
3
2014
Stabilization of cycles with stochastic prediction-based and target-oriented control. Zbl 1454.93286
Braverman, E.; Kelly, C.; Rodkina, A.
3
2020
Consistent statistical estimation in semimartingale models of stochastic approximation. Zbl 0786.62084
Melnikov, A. V.; Rodkina, A. E.
2
1992
On global asymptotic stability of nonlinear stochastic difference equations with delays. Zbl 1113.39005
Hamaya, Yoshihiro; Rodkina, Alexandra
2
2006
Positivity and stabilisation for nonlinear stochastic delay differential equations. Zbl 1162.60019
Appleby, John A. D.; Kelly, Cónall; Mao, Xuerong; Rodkina, Alexandra
2
2009
On global asymptotic stability of solutions of some in-arithmetic-mean-sense monotone stochastic difference equations in \(\mathbb{R}^1\). Zbl 1078.65006
Rodkina, Alexandra; Schurz, Henri
2
2005
Rates of decay and growth of solutions to linear stochastic differential equations with state-independent perturbations. Zbl 1083.60046
Appleby, John A. D.; Rodkina, Alexandra
2
2005
On almost sure asymptotic periodicity for scalar stochastic difference equations. Zbl 1422.39047
Rodkina, Alexandra; Rapoo, Eeva
2
2017
Asymptotic constancy and stability in nonautonomous stochastic differential equations. Zbl 1167.60013
Appleby, John A. D.; Gleeson, James P.; Rodkina, Alexandra
2
2008
Global stabilization and destabilization by the state dependent noise with particular distributions. Zbl 1489.39023
Braverman, Elena; Rodkina, Alexandra
2
2020
Solvability of equations of neutral type in different functional spaces. Zbl 0527.34071
Rodkina, A. E.
1
1983
On solutions of stochastic equations with almost surely periodic trajectories. Zbl 0821.60065
Rodkina, A. E.
1
1992
Solubility of stochastic differential equations with perturbed argument. Zbl 0661.60074
Rodkina, A. E.
1
1985
Stochastic Volterra integral equations. Zbl 0927.60062
Rodkina, A. E.
1
1992
Discrete Itô formula for delay stochastic difference equations with multiple noises. Zbl 1317.39025
Rodkina, Alexandra
1
2014
Exact growth rates of solutions of delay dominated differential equations. Zbl 1260.34141
Appleby, John A. D.; McCarthy, Michael J.; Rodkina, Alexandra
1
2010
Corrigendum: On the use of a discrete form of the Itô formula in the article “Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations”. Zbl 1297.60044
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
1
2013
On a general class of stochastic approximation algorithms. Zbl 0815.62053
Mel’nikov, A. V.; Rodkina, A. E.; Valkeila, E.
1
1993
Some notions and problems of financial mathematics. Zbl 0913.62100
Rodkina, A. E.
1
1998
On target-oriented control of Hénon and Lozi maps. Zbl 1528.39007
Braverman, E.; Rodkina, A.
1
2023
On stabilization of hybrid stochastic equations. Zbl 1034.93066
Rodkina, Alexandra
1
2003
Fat tails and bubbles in a discrete time model of an inefficient financial market. Zbl 1203.91280
Appleby, John A. D.; Rodkina, Alexandra; Swords, Catherine
1
2008
On the oscillation of solutions of stochastic difference equations. Zbl 1201.39008
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
1
2009
On pathwise super-exponential decay rates of solutions of scalar nonlinear stochastic differential equations. Zbl 1080.60059
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
1
2005
On convergence of solutions to difference equations with additive perturbations. Zbl 1466.39017
Braverman, Elena; Rodkina, Alexandra
1
2016
Continuability, uniqueness, and continuous dependence on a parameter of solutions of a neutral-type system. Zbl 0341.34060
Rodkina, A. E.
1
1976
Stabilizing multiple equilibria and cycles with noisy prediction-based control. Zbl 1503.39013
Braverman, Elena; Rodkina, Alexandra
1
2022
On target-oriented control of Hénon and Lozi maps. Zbl 1528.39007
Braverman, E.; Rodkina, A.
1
2023
Stabilizing multiple equilibria and cycles with noisy prediction-based control. Zbl 1503.39013
Braverman, Elena; Rodkina, Alexandra
1
2022
On local stability of stochastic delay nonlinear discrete systems with state-dependent noise. Zbl 1433.39006
Diblík, J.; Rodkina, A.; Šmarda, Z.
3
2020
Stabilization of cycles with stochastic prediction-based and target-oriented control. Zbl 1454.93286
Braverman, E.; Kelly, C.; Rodkina, A.
3
2020
Global stabilization and destabilization by the state dependent noise with particular distributions. Zbl 1489.39023
Braverman, Elena; Rodkina, Alexandra
2
2020
Stochastic control stabilizing unstable or chaotic maps. Zbl 1411.39009
Braverman, Elena; Rodkina, Alexandra
7
2019
Adaptive timestepping for pathwise stability and positivity of strongly discretised nonlinear stochastic differential equations. Zbl 1385.37070
Kelly, Cónall; Rodkina, Alexandra; Rapoo, Eeva Maria
5
2018
Stabilization of difference equations with noisy proportional feedback control. Zbl 1361.39009
Braverman, Elena; Rodkina, Alexandra
5
2017
On almost sure asymptotic periodicity for scalar stochastic difference equations. Zbl 1422.39047
Rodkina, Alexandra; Rapoo, Eeva
2
2017
Stabilisation of difference equations with noisy prediction-based control. Zbl 1364.39018
Braverman, E.; Kelly, C.; Rodkina, A.
12
2016
Stochastic difference equations with the Allee effect. Zbl 1351.39011
Rodkina, Alexandra; Braverman, Elena
4
2016
On convergence of solutions to difference equations with additive perturbations. Zbl 1466.39017
Braverman, Elena; Rodkina, Alexandra
1
2016
Instability and stability of solutions of systems of nonlinear stochastic difference equations with diagonal noise. Zbl 1291.39041
Rodkina, Alexandra; Dokuchaev, Nikolai
3
2014
On limit periodicity of discrete time stochastic processes. Zbl 1300.93156
Rodkina, Alexandra; Dokuchaev, Nikolai; Appleby, John
3
2014
Discrete Itô formula for delay stochastic difference equations with multiple noises. Zbl 1317.39025
Rodkina, Alexandra
1
2014
Stabilization of two cycles of difference equations with stochastic perturbations. Zbl 1295.39014
Braverman, Elena; Rodkina, Alexandra
7
2013
Difference equations of Ricker and logistic types under bounded stochastic perturbations with positive mean. Zbl 1350.65140
Braverman, E.; Rodkina, A.
6
2013
Almost sure instability of the equilibrium solution of a Milstein-type stochastic difference equation. Zbl 1350.39011
Kelly, Cónall; Palmer, Peter; Rodkina, Alexandra
3
2013
Corrigendum: On the use of a discrete form of the Itô formula in the article “Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations”. Zbl 1297.60044
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
1
2013
Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations. Zbl 1294.60093
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
13
2012
On difference equations with asymptotically stable 2-cycles perturbed by a decaying noise. Zbl 1268.39020
Braverman, E.; Rodkina, A.
5
2012
Characterisation of the asymptotic behaviour of scalar linear differential equations with respect to a fading stochastic perturbation. Zbl 1306.60066
Appleby, John A. D.; Cheng, Jian; Rodkina, Alexandra
9
2011
Preserving positivity in solutions of discretised stochastic differential equations. Zbl 1208.65013
Appleby, John A. D.; Guzowska, Małgorzata; Kelly, Cónall; Rodkina, Alexandra
18
2010
On the local dynamics of polynomial difference equations with fading stochastic perturbations. Zbl 1192.39016
Appleby, John; Kelly, Cónall; Mao, Xuerong; Rodkina, Alexandra
7
2010
Non-positivity and oscillations of solutions of nonlinear stochastic difference equations with state-dependent noise. Zbl 1198.39032
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
3
2010
Exact growth rates of solutions of delay dominated differential equations. Zbl 1260.34141
Appleby, John A. D.; McCarthy, Michael J.; Rodkina, Alexandra
1
2010
Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise. Zbl 1177.39020
Appleby, John A. D.; Berkolaiko, Gregory; Rodkina, Alexandra
23
2009
On asymptotic stability and instability with respect to a fading stochastic perturbation. Zbl 1168.60351
Appleby, John A. D.; Gleeson, James P.; Rodkina, Alexandra
6
2009
Constrained stability and instability of polynomial difference equations with state-dependent noise. Zbl 1185.39014
Kelly, Cónall; Rodkina, Alexandra
5
2009
On positivity and boundedness of solutions of nonlinear stochastic difference equations. Zbl 1205.39020
Rodkina, Alexandra; Schurz, Henri
3
2009
Growth rates of delay-differential equations and uniform Euler schemes. Zbl 1172.65035
Appleby, J. A. D.; McCarthy, M.; Rodkina, A.
3
2009
Positivity and stabilisation for nonlinear stochastic delay differential equations. Zbl 1162.60019
Appleby, John A. D.; Kelly, Cónall; Mao, Xuerong; Rodkina, Alexandra
2
2009
On the oscillation of solutions of stochastic difference equations. Zbl 1201.39008
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
1
2009
Stabilization and destabilization of nonlinear differential equations by noise. Zbl 1367.93692
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
75
2008
On delay-dependent stability for a class of nonlinear stochastic systems with multiple state delays. Zbl 1154.34044
Basin, Michael; Rodkina, Alexandra
45
2008
On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations. Zbl 1155.39003
Appleby, J.; Berkolaiko, G.; Rodkina, A.
12
2008
Almost sure stability of some stochastic dynamical systems with memory. Zbl 1148.39011
Rodkina, Alexandra; Schurz, Henri; Shaikhet, Leonid
9
2008
Asymptotic constancy and stability in nonautonomous stochastic differential equations. Zbl 1167.60013
Appleby, John A. D.; Gleeson, James P.; Rodkina, Alexandra
2
2008
Fat tails and bubbles in a discrete time model of an inefficient financial market. Zbl 1203.91280
Appleby, John A. D.; Rodkina, Alexandra; Swords, Catherine
1
2008
On delay-dependent stability for vector nonlinear stochastic delay-difference equations with Volterra diffusion term. Zbl 1124.93066
Rodkina, Alexandra; Basin, Michael
26
2007
On the aysmptotic behavior of the moments of solutions of stochastic difference equations. Zbl 1127.39003
Appleby, J.; Berkolaiko, G.; Rodkina, A.
4
2007
On stochastic stabilization of difference equations. Zbl 1115.39008
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
26
2006
On delay-dependent stability for a class of nonlinear stochastic delay-differential equations. Zbl 1103.93043
Rodkina, Alexandra; Basin, Michael
18
2006
Almost sure convergence of solutions to non-homogeneous stochastic difference equation. Zbl 1099.39002
Berkolaiko, Gregory; Rodkina, Alexandra
13
2006
Stability analysis of stochastic Ricker population model,. Zbl 1099.92071
Hritonenko, Natali; Rodkina, Alexandra; Yatsenko, Yuri
5
2006
Pathwise non-exponential decay rates of solutions of scalar nonlinear stochastic differential equations. Zbl 1131.93052
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
4
2006
On global asymptotic stability of nonlinear stochastic difference equations with delays. Zbl 1113.39005
Hamaya, Yoshihiro; Rodkina, Alexandra
2
2006
Almost sure asymptotic stability of drift-implicit \(\theta\)-methods for bilinear ordinary stochastic differential equations in \(\mathbb R^1\). Zbl 1073.65009
Rodkina, Alexandra; Schurz, Henri
29
2005
Asymptotic stability of polynomial stochastic delay differential equations with damped perturbations. Zbl 1090.34065
Appleby, J.; Rodkina, A.
4
2005
On delay-dependent stability for a class of nonlinear stochastic delay-difference equations. Zbl 1086.39012
Rodkina, Alexandra; Basin, Michael
3
2005
On global asymptotic stability of solutions of some in-arithmetic-mean-sense monotone stochastic difference equations in \(\mathbb{R}^1\). Zbl 1078.65006
Rodkina, Alexandra; Schurz, Henri
2
2005
Rates of decay and growth of solutions to linear stochastic differential equations with state-independent perturbations. Zbl 1083.60046
Appleby, John A. D.; Rodkina, Alexandra
2
2005
On pathwise super-exponential decay rates of solutions of scalar nonlinear stochastic differential equations. Zbl 1080.60059
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
1
2005
Global asymptotic stability of solutions of cubic stochastic difference equations. Zbl 1079.39012
Rodkina, Alexandra; Schurz, Henri
7
2004
On asymptotic behavior of solutions to linear discrete stochastic equation. Zbl 1381.93094
Rodkina, Alexandra; Berkolaiko, Gregory
5
2004
On stability of some nonlinear scalar differential equations. Zbl 1070.34096
Rodkina, Alexandra; Nosov, Valery
4
2003
On stabilization of hybrid stochastic equations. Zbl 1034.93066
Rodkina, Alexandra
1
2003
On boundedness and stability of solutions of nonlinear difference equation with nonmartingale type noise. Zbl 1016.39004
Rodkina, Alexandra; Mao, Xuerong
7
2001
On asymptotic behaviour of solutions of stochastic difference equations. Zbl 1042.39502
Rodkina, Alexandra
6
2001
On asymptotic behaviour of solutions of stochastic difference equations with Volterra type main term. Zbl 0979.60054
Rodkina, Alexandra; Mao, Xuerong; Kolmanovskii, Vladimir
6
2000
Robust stability of uncertain stochastic differential delay equations. Zbl 0909.93054
Mao, Xuerong; Koroleva, Natalia; Rodkina, Alexandra
75
1998
Razumikhin-type theorems for neutral stochastic functional differential equations. Zbl 1050.34526
Mao, X.; Rodkina, A.; Koroleva, N.
4
1998
Some notions and problems of financial mathematics. Zbl 0913.62100
Rodkina, A. E.
1
1998
Exponential stability of stochastic differential equations driven by discontinuous semimartingales. Zbl 0886.60058
Mao, Xuerong; Rodkina, A. E.
6
1995
Martingale approach to the procedures of stochastic approximation. Zbl 0815.62054
Mel’nikov, A. V.; Rodkina, A. E.
6
1993
On a general class of stochastic approximation algorithms. Zbl 0815.62053
Mel’nikov, A. V.; Rodkina, A. E.; Valkeila, E.
1
1993
Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob. Zbl 0748.47045
Akhmerov, R. R.; Kamenskii, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskii, B. N.
323
1992
Consistent statistical estimation in semimartingale models of stochastic approximation. Zbl 0786.62084
Melnikov, A. V.; Rodkina, A. E.
2
1992
On solutions of stochastic equations with almost surely periodic trajectories. Zbl 0821.60065
Rodkina, A. E.
1
1992
Stochastic Volterra integral equations. Zbl 0927.60062
Rodkina, A. E.
1
1992
Measures of noncompactness and condensing operators. (Меры некомпактности и уплотняющие операторы.) Zbl 0623.47070
Akhmerov, R. R.; Kamenskiĭ, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskiĭ, B. N.
48
1986
Solubility of stochastic differential equations with perturbed argument. Zbl 0661.60074
Rodkina, A. E.
1
1985
On existence and uniqueness of solution of stochastic differential equations with heredity. Zbl 0568.60062
Rodkina, A. E.
17
1984
Theory of equations of neutral type. Zbl 0536.34044
Akhmerov, R. R.; Kamenskij, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskij, B. N.
4
1984
Solvability of equations of neutral type in different functional spaces. Zbl 0527.34071
Rodkina, A. E.
1
1983
The theory of equations of neutral type. Zbl 0519.34046
Akhmerov, R. R.; Kamenskij, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskij, B. N.
4
1982
Continuability, uniqueness, and continuous dependence on a parameter of solutions of a neutral-type system. Zbl 0341.34060
Rodkina, A. E.
1
1976
all top 5

Cited by 941 Authors

39 Rodkina, Alexandra
34 Mao, Xuerong
23 Banaś, Józef
19 Mursaleen, Mohammad
15 Appleby, John A. D.
15 Väth, Martin
15 Wu, Fuke
14 Braverman, Elena
13 Kamenskiĭ, Mikhaĭl Igor’evich
12 Obukhovskiĭ, Valeriĭ Vladimirovich
12 Shen, Yi
12 Shi, Peng
10 Appell, Jürgen
10 Benchohra, Mouffak
10 Das, Anupam
10 Deng, Feiqi
10 Kelly, Cónall
10 Lam, James
10 O’Regan, Donal
9 Hazarika, Bipan
9 Ke, Tran Dinh
9 Liu, Lei
9 Liu, Wei
8 Erzakova, Nina A.
8 Hu, Liangjian
8 Malkowsky, Eberhard
8 Rakočević, Vladimir
8 Zhu, Quanxin
7 Agarwal, Ravi P.
7 Balasubramaniam, Pagavathigounder
7 Cao, Jinde
7 Feng, Lichao
6 Arab, Reza
6 Gabeleh, Moosa
6 García Macías, Gonzalo
6 García, Gonzalo A.
6 Guo, Qian
6 Hu, Shigeng
6 Kim, In-Sook
6 Li, Fang
6 Yao, Jen-Chih
5 Abbas, Said
5 Al-saedi, Ahmed Eid Salem
5 Anh, Nguyen Thi Van
5 Berkolaiko, Gregory
5 Ćwiszewski, Aleksander
5 Darwish, Mohamed Abdalla
5 Dokuchaev, Nikolai G.
5 El-Sayed, Wagdy Gomaa
5 Jiang, Yanan
5 Lan, Do
5 Mao, Wei
5 Sadarangani, Kishin B.
5 Schurz, Henri
5 Xu, Shengyuan
5 Zhang, Weihai
5 Zhou, Yong
5 Zhu, Song
4 Aghajani, Asadollah
4 Akhmerov, Ramil R.
4 Bashkirtseva, Irina Adol’fovna
4 Cheng, Lixin
4 Chlebowicz, Agnieszka
4 Dehici, Abdelkader
4 Dhage, Bapurao C.
4 Diblík, Josef
4 Govindan, T. E.
4 Henderson, Johnny Lee
4 Jalal, Tanweer
4 Kryszewski, Wojciech
4 Liu, Mingzhu
4 Liu, Xinzhi
4 Malik, Ishfaq Ahmad
4 Nashine, Hemant Kumar
4 Pandey, Dwijendra Narain
4 Patterson, Denis D.
4 Peng, Shiguo
4 Pourhadi, Ehsan
4 Sultanov, Oskar A.
4 Vu Trong Luong
4 Wu, Zhengguang
4 Yu, Zhanhua
4 Zhang, Lixian
4 Zhou, Qi
4 Zhou, Shijie
4 Zong, Xiaofeng
4 Zou, Yun
3 Ahmad, Bashir
3 Allahyari, Reza
3 Alotaibi, Abdullah M.
3 Basin, Michael V.
3 Boukas, El-Kébir
3 Buckwar, Evelyn
3 Cai, Yongmei
3 Caponetti, Diana
3 Chadha, Alka
3 Chen, Bing
3 Chen, Guici
3 Chen, Lin
3 Chen, Xiaoling
...and 841 more Authors
all top 5

Cited in 207 Serials

30 Journal of Mathematical Analysis and Applications
26 Applied Mathematics and Computation
23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Advances in Difference Equations
21 Journal of the Franklin Institute
20 Automatica
20 Journal of Computational and Applied Mathematics
20 Systems & Control Letters
16 Computers & Mathematics with Applications
16 Abstract and Applied Analysis
15 Journal of Difference Equations and Applications
14 International Journal of Control
13 Discrete and Continuous Dynamical Systems. Series B
12 International Journal of Robust and Nonlinear Control
12 Filomat
11 International Journal of Systems Science
11 Nonlinear Analysis. Theory, Methods & Applications
10 Journal of Fixed Point Theory and Applications
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Discrete Dynamics in Nature and Society
8 Stochastic Analysis and Applications
8 Communications in Nonlinear Science and Numerical Simulation
7 Chaos, Solitons and Fractals
7 Zeitschrift für Analysis und ihre Anwendungen
7 Applied Mathematics Letters
7 Nonlinear Analysis. Hybrid Systems
6 Mathematics and Computers in Simulation
6 Mathematical and Computer Modelling
6 Journal of Integral Equations and Applications
6 International Journal of Computer Mathematics
6 Journal of Mathematical Sciences (New York)
6 Fixed Point Theory and Applications
6 Stochastics
5 Proceedings of the American Mathematical Society
5 Statistics & Probability Letters
5 Discrete and Continuous Dynamical Systems
5 Mathematical Problems in Engineering
5 Differential Equations and Dynamical Systems
5 Mediterranean Journal of Mathematics
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Journal of Function Spaces
5 International Journal of Systems Science. Principles and Applications of Systems and Integration
4 Applicable Analysis
4 Ukrainian Mathematical Journal
4 Journal of Differential Equations
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Circuits, Systems, and Signal Processing
4 Applied Numerical Mathematics
4 Russian Mathematics
4 Topological Methods in Nonlinear Analysis
4 Fractional Calculus & Applied Analysis
4 Central European Journal of Mathematics
4 Fixed Point Theory
4 Afrika Matematika
4 Advances in Operator Theory
3 Czechoslovak Mathematical Journal
3 Demonstratio Mathematica
3 Functional Analysis and its Applications
3 Journal of Functional Analysis
3 Journal of Optimization Theory and Applications
3 Physica D
3 Numerical Algorithms
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Random Operators and Stochastic Equations
3 Taiwanese Journal of Mathematics
3 Journal of Inequalities and Applications
3 Chaos
3 Nonlinear Analysis. Modelling and Control
3 Journal of Evolution Equations
3 Stochastics and Dynamics
3 Communications on Pure and Applied Analysis
3 Discrete and Continuous Dynamical Systems. Series S
3 International Journal of Differential Equations
3 Science China. Mathematics
3 Applied General Topology
3 Asian Journal of Control
3 Palestine Journal of Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Mathematical Methods in the Applied Sciences
2 Mathematical Notes
2 Physics Letters. A
2 Archiv der Mathematik
2 Archivum Mathematicum
2 Calcolo
2 Fuzzy Sets and Systems
2 International Journal of Mathematics and Mathematical Sciences
2 Integral Equations and Operator Theory
2 Journal of Soviet Mathematics
2 Mathematica Slovaca
2 Monatshefte für Mathematik
2 Numerical Functional Analysis and Optimization
2 Numerische Mathematik
2 Quaestiones Mathematicae
2 SIAM Journal on Control and Optimization
2 Topology and its Applications
2 Acta Applicandae Mathematicae
2 Signal Processing
2 Applied Mathematical Modelling
2 SIAM Journal on Optimization
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
...and 107 more Serials
all top 5

Cited in 37 Fields

283 Operator theory (47-XX)
233 Ordinary differential equations (34-XX)
226 Systems theory; control (93-XX)
219 Probability theory and stochastic processes (60-XX)
87 Integral equations (45-XX)
77 Functional analysis (46-XX)
75 Numerical analysis (65-XX)
57 Difference and functional equations (39-XX)
53 Partial differential equations (35-XX)
45 Dynamical systems and ergodic theory (37-XX)
36 Real functions (26-XX)
29 Biology and other natural sciences (92-XX)
21 General topology (54-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Sequences, series, summability (40-XX)
9 Operations research, mathematical programming (90-XX)
8 Measure and integration (28-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Fluid mechanics (76-XX)
6 Information and communication theory, circuits (94-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Algebraic topology (55-XX)
3 Statistics (62-XX)
3 Computer science (68-XX)
3 Mechanics of particles and systems (70-XX)
2 Approximations and expansions (41-XX)
2 Convex and discrete geometry (52-XX)
2 Mechanics of deformable solids (74-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Differential geometry (53-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year