## Rodkina, Alexandra

Compute Distance To:
 Author ID: rodkina.alexandra Published as: Rodkina, Alexandra; Rodkina, A. E.; Rodkina, A. more...less External Links: MGP
 Documents Indexed: 121 Publications since 1973, including 2 Books Reviewing Activity: 345 Reviews Co-Authors: 38 Co-Authors with 85 Joint Publications 937 Co-Co-Authors
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### Co-Authors

 36 single-authored 27 Appleby, John A. D. 13 Kelly, Cónall 12 Mao, Xuerong 11 Braverman, Elena 9 Berkolaiko, Gregory 9 Schurz, Henri 6 Akhmerov, Ramil R. 4 Basin, Michael V. 4 Kamenskiĭ, Mikhaĭl Igor’evich 4 Melnikov, Aleksander Viktorovich 4 Nosov, Valerij R. 4 Potapov, A. S. 4 Sadovskii, Boris Nikolaevich 3 Dokuchaev, Nikolai G. 2 Buckwar, Evelyn 2 Cheng, Jian 2 Diblík, Josef 2 Gleeson, James P. 2 Kolmanovskii, Vladimir Borisovich 2 Koroleva, N. I. 2 McCarthy, Michael J. 2 Rapoo, Eeva Maria 2 Šmarda, Zdeněk 1 Augustynowicz, Antoni 1 Baccas, Ricardo 1 Gómez-Mancilla, Julio C. 1 Guzowska, Małgorzata 1 Hamaya, Yoshihiro 1 Hritonenko, Natali 1 Jarzebowska, Elzbieta 1 Lynch, O’Neil 1 Palmer, Peter 1 Riedle, Markus 1 Roeger, Lih-Ing Wu 1 Shaikhet, Leonid Efimovich 1 Swords, Catherine 1 Valkeila, Esko 1 Yatsenko, Yuri
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### Serials

 8 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 Stochastics 3 Computers & Mathematics with Applications 3 Dynamic Systems and Applications 3 Discrete and Continuous Dynamical Systems. Series B 2 Ukrainian Mathematical Journal 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 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 Mathematics and Computers in Simulation 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
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### Fields

 65 Probability theory and stochastic processes (60-XX) 47 Ordinary differential equations (34-XX) 44 Systems theory; control (93-XX) 40 Difference and functional equations (39-XX) 20 Dynamical systems and ergodic theory (37-XX) 12 Numerical analysis (65-XX) 7 Statistics (62-XX) 4 Mechanics of particles and systems (70-XX) 3 Operator theory (47-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX)

### Citations contained in zbMATH Open

69 Publications have been cited 750 times in 574 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.
1992
Robust stability of uncertain stochastic differential delay equations. Zbl 0909.93054
Mao, Xuerong; Koroleva, Natalia; Rodkina, Alexandra
1998
Stabilization and destabilization of nonlinear differential equations by noise. Zbl 1367.93692
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
2008
On delay-dependent stability for a class of nonlinear stochastic systems with multiple state delays. Zbl 1154.34044
Basin, Michael; Rodkina, Alexandra
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.
1986
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
2005
On stochastic stabilization of difference equations. Zbl 1115.39008
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
2006
On delay-dependent stability for vector nonlinear stochastic delay-difference equations with Volterra diffusion term. Zbl 1124.93066
Rodkina, Alexandra; Basin, Michael
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
2009
On delay-dependent stability for a class of nonlinear stochastic delay-differential equations. Zbl 1103.93043
Rodkina, Alexandra; Basin, Michael
2006
On existence and uniqueness of solution of stochastic differential equations with heredity. Zbl 0568.60062
Rodkina, A. E.
1984
Preserving positivity in solutions of discretised stochastic differential equations. Zbl 1208.65013
Appleby, John A. D.; Guzowska, Małgorzata; Kelly, Cónall; Rodkina, Alexandra
2010
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.
2008
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
2012
Almost sure convergence of solutions to non-homogeneous stochastic difference equation. Zbl 1099.39002
Berkolaiko, Gregory; Rodkina, Alexandra
2006
Stabilisation of difference equations with noisy prediction-based control. Zbl 1364.39018
Braverman, E.; Kelly, C.; Rodkina, A.
2016
Almost sure stability of some stochastic dynamical systems with memory. Zbl 1148.39011
Rodkina, Alexandra; Schurz, Henri; Shaikhet, Leonid
2008
Stabilization of two cycles of difference equations with stochastic perturbations. Zbl 1295.39014
Braverman, Elena; Rodkina, Alexandra
2013
On boundedness and stability of solutions of nonlinear difference equation with nonmartingale type noise. Zbl 1016.39004
Rodkina, Alexandra; Mao, Xuerong
2001
Difference equations of Ricker and logistic types under bounded stochastic perturbations with positive mean. Zbl 1350.65140
Braverman, E.; Rodkina, A.
2013
On asymptotic behaviour of solutions of stochastic difference equations with Volterra type main term. Zbl 0979.60054
Rodkina, Alexandra; Mao, Xuerong; Kolmanovskii, Vladimir
2000
Martingale approach to the procedures of stochastic approximation. Zbl 0815.62054
Mel’nikov, A. V.; Rodkina, A. E.
1993
Exponential stability of stochastic differential equations driven by discontinuous semimartingales. Zbl 0886.60058
Mao, Xuerong; Rodkina, A. E.
1995
On asymptotic behaviour of solutions of stochastic difference equations. Zbl 1042.39502
Rodkina, Alexandra
2001
On the local dynamics of polynomial difference equations with fading stochastic perturbations. Zbl 1192.39016
Appleby, John; Kelly, Cónall; Mao, Xuerong; Rodkina, Alexandra
2010
Stability analysis of stochastic Ricker population model,. Zbl 1099.92071
Hritonenko, Natali; Rodkina, Alexandra; Yatsenko, Yuri
2006
On difference equations with asymptotically stable 2-cycles perturbed by a decaying noise. Zbl 1268.39020
Braverman, E.; Rodkina, A.
2012
Global asymptotic stability of solutions of cubic stochastic difference equations. Zbl 1079.39012
Rodkina, Alexandra; Schurz, Henri
2004
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
2011
Stabilization of difference equations with noisy proportional feedback control. Zbl 1361.39009
Braverman, Elena; Rodkina, Alexandra
2017
On stability of some nonlinear scalar differential equations. Zbl 1070.34096
Rodkina, Alexandra; Nosov, Valery
2003
Razumikhin-type theorems for neutral stochastic functional differential equations. Zbl 1050.34526
Mao, X.; Rodkina, A.; Koroleva, N.
1998
Asymptotic stability of polynomial stochastic delay differential equations with damped perturbations. Zbl 1090.34065
Appleby, J.; Rodkina, A.
2005
Constrained stability and instability of polynomial difference equations with state-dependent noise. Zbl 1185.39014
Kelly, Cónall; Rodkina, Alexandra
2009
Stochastic control stabilizing unstable or chaotic maps. Zbl 1411.39009
Braverman, Elena; Rodkina, Alexandra
2019
On asymptotic behavior of solutions to linear discrete stochastic equation. Zbl 1381.93094
Rodkina, Alexandra; Berkolaiko, Gregory
2004
Almost sure instability of the equilibrium solution of a Milstein-type stochastic difference equation. Zbl 1350.39011
Kelly, Cónall; Palmer, Peter; Rodkina, Alexandra
2013
On limit periodicity of discrete time stochastic processes. Zbl 1300.93156
Rodkina, Alexandra; Dokuchaev, Nikolai; Appleby, John
2014
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.
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.
1984
On delay-dependent stability for a class of nonlinear stochastic delay-difference equations. Zbl 1086.39012
Rodkina, Alexandra; Basin, Michael
2005
On the aysmptotic behavior of the moments of solutions of stochastic difference equations. Zbl 1127.39003
Appleby, J.; Berkolaiko, G.; Rodkina, A.
2007
Pathwise non-exponential decay rates of solutions of scalar nonlinear stochastic differential equations. Zbl 1131.93052
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
2006
On positivity and boundedness of solutions of nonlinear stochastic difference equations. Zbl 1205.39020
Rodkina, Alexandra; Schurz, Henri
2009
Growth rates of delay-differential equations and uniform Euler schemes. Zbl 1172.65035
Appleby, J. A. D.; McCarthy, M.; Rodkina, A.
2009
Instability and stability of solutions of systems of nonlinear stochastic difference equations with diagonal noise. Zbl 1291.39041
Rodkina, Alexandra; Dokuchaev, Nikolai
2014
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
2010
Adaptive timestepping for pathwise stability and positivity of strongly discretised nonlinear stochastic differential equations. Zbl 1385.37070
Kelly, Cónall; Rodkina, Alexandra; Rapoo, Eeva Maria
2018
On almost sure asymptotic periodicity for scalar stochastic difference equations. Zbl 1422.39047
Rodkina, Alexandra; Rapoo, Eeva
2017
Stochastic difference equations with the Allee effect. Zbl 1351.39011
Rodkina, Alexandra; Braverman, Elena
2016
Consistent statistical estimation in semimartingale models of stochastic approximation. Zbl 0786.62084
Melnikov, A. V.; Rodkina, A. E.
1992
Stochastic Volterra integral equations. Zbl 0927.60062
Rodkina, A. E.
1992
On the oscillation of solutions of stochastic difference equations. Zbl 1201.39008
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
2009
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
2013
On solutions of stochastic equations with almost surely periodic trajectories. Zbl 0821.60065
Rodkina, A. E.
1992
Solubility of stochastic differential equations with perturbed argument. Zbl 0661.60074
Rodkina, A. E.
1985
Solvability of equations of neutral type in different functional spaces. Zbl 0527.34071
Rodkina, A. E.
1983
On a general class of stochastic approximation algorithms. Zbl 0815.62053
Mel’nikov, A. V.; Rodkina, A. E.; Valkeila, E.
1993
On stabilization of hybrid stochastic equations. Zbl 1034.93066
Rodkina, Alexandra
2003
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
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
2005
On global asymptotic stability of nonlinear stochastic difference equations with delays. Zbl 1113.39005
Hamaya, Yoshihiro; Rodkina, Alexandra
2006
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
2008
Some notions and problems of financial mathematics. Zbl 0913.62100
Rodkina, A. E.
1998
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
2005
Asymptotic constancy and stability in nonautonomous stochastic differential equations. Zbl 1167.60013
Appleby, John A. D.; Gleeson, James P.; Rodkina, Alexandra
2008
Positivity and stabilisation for nonlinear stochastic delay differential equations. Zbl 1162.60019
Appleby, John A. D.; Kelly, Cónall; Mao, Xuerong; Rodkina, Alexandra
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
2009
Discrete Itô formula for delay stochastic difference equations with multiple noises. Zbl 1317.39025
Rodkina, Alexandra
2014
Stochastic control stabilizing unstable or chaotic maps. Zbl 1411.39009
Braverman, Elena; Rodkina, Alexandra
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
2018
Stabilization of difference equations with noisy proportional feedback control. Zbl 1361.39009
Braverman, Elena; Rodkina, Alexandra
2017
On almost sure asymptotic periodicity for scalar stochastic difference equations. Zbl 1422.39047
Rodkina, Alexandra; Rapoo, Eeva
2017
Stabilisation of difference equations with noisy prediction-based control. Zbl 1364.39018
Braverman, E.; Kelly, C.; Rodkina, A.
2016
Stochastic difference equations with the Allee effect. Zbl 1351.39011
Rodkina, Alexandra; Braverman, Elena
2016
On limit periodicity of discrete time stochastic processes. Zbl 1300.93156
Rodkina, Alexandra; Dokuchaev, Nikolai; Appleby, John
2014
Instability and stability of solutions of systems of nonlinear stochastic difference equations with diagonal noise. Zbl 1291.39041
Rodkina, Alexandra; Dokuchaev, Nikolai
2014
Discrete Itô formula for delay stochastic difference equations with multiple noises. Zbl 1317.39025
Rodkina, Alexandra
2014
Stabilization of two cycles of difference equations with stochastic perturbations. Zbl 1295.39014
Braverman, Elena; Rodkina, Alexandra
2013
Difference equations of Ricker and logistic types under bounded stochastic perturbations with positive mean. Zbl 1350.65140
Braverman, E.; Rodkina, A.
2013
Almost sure instability of the equilibrium solution of a Milstein-type stochastic difference equation. Zbl 1350.39011
Kelly, Cónall; Palmer, Peter; Rodkina, Alexandra
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
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
2012
On difference equations with asymptotically stable 2-cycles perturbed by a decaying noise. Zbl 1268.39020
Braverman, E.; Rodkina, A.
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
2011
Preserving positivity in solutions of discretised stochastic differential equations. Zbl 1208.65013
Appleby, John A. D.; Guzowska, Małgorzata; Kelly, Cónall; Rodkina, Alexandra
2010
On the local dynamics of polynomial difference equations with fading stochastic perturbations. Zbl 1192.39016
Appleby, John; Kelly, Cónall; Mao, Xuerong; Rodkina, Alexandra
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
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
2009
Constrained stability and instability of polynomial difference equations with state-dependent noise. Zbl 1185.39014
Kelly, Cónall; Rodkina, Alexandra
2009
On positivity and boundedness of solutions of nonlinear stochastic difference equations. Zbl 1205.39020
Rodkina, Alexandra; Schurz, Henri
2009
Growth rates of delay-differential equations and uniform Euler schemes. Zbl 1172.65035
Appleby, J. A. D.; McCarthy, M.; Rodkina, A.
2009
On the oscillation of solutions of stochastic difference equations. Zbl 1201.39008
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
2009
Positivity and stabilisation for nonlinear stochastic delay differential equations. Zbl 1162.60019
Appleby, John A. D.; Kelly, Cónall; Mao, Xuerong; Rodkina, Alexandra
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
2009
Stabilization and destabilization of nonlinear differential equations by noise. Zbl 1367.93692
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
2008
On delay-dependent stability for a class of nonlinear stochastic systems with multiple state delays. Zbl 1154.34044
Basin, Michael; Rodkina, Alexandra
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.
2008
Almost sure stability of some stochastic dynamical systems with memory. Zbl 1148.39011
Rodkina, Alexandra; Schurz, Henri; Shaikhet, Leonid
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
2008
Asymptotic constancy and stability in nonautonomous stochastic differential equations. Zbl 1167.60013
Appleby, John A. D.; Gleeson, James P.; Rodkina, Alexandra
2008
On delay-dependent stability for vector nonlinear stochastic delay-difference equations with Volterra diffusion term. Zbl 1124.93066
Rodkina, Alexandra; Basin, Michael
2007
On the aysmptotic behavior of the moments of solutions of stochastic difference equations. Zbl 1127.39003
Appleby, J.; Berkolaiko, G.; Rodkina, A.
2007
On stochastic stabilization of difference equations. Zbl 1115.39008
Appleby, John A. D.; Mao, Xuerong; Rodkina, Alexandra
2006
On delay-dependent stability for a class of nonlinear stochastic delay-differential equations. Zbl 1103.93043
Rodkina, Alexandra; Basin, Michael
2006
Almost sure convergence of solutions to non-homogeneous stochastic difference equation. Zbl 1099.39002
Berkolaiko, Gregory; Rodkina, Alexandra
2006
Stability analysis of stochastic Ricker population model,. Zbl 1099.92071
Hritonenko, Natali; Rodkina, Alexandra; Yatsenko, Yuri
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
2006
On global asymptotic stability of nonlinear stochastic difference equations with delays. Zbl 1113.39005
Hamaya, Yoshihiro; Rodkina, Alexandra
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
2005
Asymptotic stability of polynomial stochastic delay differential equations with damped perturbations. Zbl 1090.34065
Appleby, J.; Rodkina, A.
2005
On delay-dependent stability for a class of nonlinear stochastic delay-difference equations. Zbl 1086.39012
Rodkina, Alexandra; Basin, Michael
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
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
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
2005
Global asymptotic stability of solutions of cubic stochastic difference equations. Zbl 1079.39012
Rodkina, Alexandra; Schurz, Henri
2004
On asymptotic behavior of solutions to linear discrete stochastic equation. Zbl 1381.93094
Rodkina, Alexandra; Berkolaiko, Gregory
2004
On stability of some nonlinear scalar differential equations. Zbl 1070.34096
Rodkina, Alexandra; Nosov, Valery
2003
On stabilization of hybrid stochastic equations. Zbl 1034.93066
Rodkina, Alexandra
2003
On boundedness and stability of solutions of nonlinear difference equation with nonmartingale type noise. Zbl 1016.39004
Rodkina, Alexandra; Mao, Xuerong
2001
On asymptotic behaviour of solutions of stochastic difference equations. Zbl 1042.39502
Rodkina, Alexandra
2001
On asymptotic behaviour of solutions of stochastic difference equations with Volterra type main term. Zbl 0979.60054
Rodkina, Alexandra; Mao, Xuerong; Kolmanovskii, Vladimir
2000
Robust stability of uncertain stochastic differential delay equations. Zbl 0909.93054
Mao, Xuerong; Koroleva, Natalia; Rodkina, Alexandra
1998
Razumikhin-type theorems for neutral stochastic functional differential equations. Zbl 1050.34526
Mao, X.; Rodkina, A.; Koroleva, N.
1998
Some notions and problems of financial mathematics. Zbl 0913.62100
Rodkina, A. E.
1998
Exponential stability of stochastic differential equations driven by discontinuous semimartingales. Zbl 0886.60058
Mao, Xuerong; Rodkina, A. E.
1995
Martingale approach to the procedures of stochastic approximation. Zbl 0815.62054
Mel&rsquo;nikov, A. V.; Rodkina, A. E.
1993
On a general class of stochastic approximation algorithms. Zbl 0815.62053
Mel&rsquo;nikov, A. V.; Rodkina, A. E.; Valkeila, E.
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.
1992
Consistent statistical estimation in semimartingale models of stochastic approximation. Zbl 0786.62084
Melnikov, A. V.; Rodkina, A. E.
1992
Stochastic Volterra integral equations. Zbl 0927.60062
Rodkina, A. E.
1992
On solutions of stochastic equations with almost surely periodic trajectories. Zbl 0821.60065
Rodkina, A. E.
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.
1986
Solubility of stochastic differential equations with perturbed argument. Zbl 0661.60074
Rodkina, A. E.
1985
On existence and uniqueness of solution of stochastic differential equations with heredity. Zbl 0568.60062
Rodkina, A. E.
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.
1984
Solvability of equations of neutral type in different functional spaces. Zbl 0527.34071
Rodkina, A. E.
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.
1982
all top 5

### Cited by 737 Authors

 36 Rodkina, Alexandra 29 Mao, Xuerong 21 Banaś, Józef 14 Appleby, John A. D. 13 Wu, Fuke 12 Mursaleen, Mohammad 12 Shi, Peng 12 Väth, Martin 11 Braverman, Elena 10 Kamenskiĭ, Mikhaĭl Igor’evich 9 Appell, Jürgen M. 9 Kelly, Cónall 9 Lam, James 8 Das, Anupam 8 Deng, Feiqi 8 Hazarika, Bipan 7 Hu, Liangjian 7 Liu, Wei 7 Obukhovskiĭ, Valeriĭ Vladimirovich 6 Balasubramaniam, Pagavathigounder 6 Benchohra, Mouffak 6 Cao, Jinde 6 Erzakova, Nina A. 6 Feng, Lichao 6 Hu, Shigeng 6 Ke, Tran Dinh 6 Kim, In-Sook 6 Liu, Lei 6 Malkowsky, Eberhard 5 Berkolaiko, Gregory 5 Darwish, Mohamed Abdalla 5 Dokuchaev, Nikolai G. 5 Li, Fang 5 O’Regan, Donal 5 Rakočević, Vladimir 5 Sadarangani, Kishin B. 5 Xu, Shengyuan 5 Zhang, Weihai 5 Zhu, Quanxin 4 Akhmerov, Ramil R. 4 Arab, Reza 4 Bashkirtseva, Irina Adol’fovna 4 Dehici, Abdelkader 4 Dhage, Bapurao C. 4 El-Sayed, Wagdy Gomaa 4 Govindan, T. E. 4 Jiang, Yanan 4 Liu, Xinzhi 4 Peng, Shiguo 4 Schurz, Henri 4 Shen, Yi 4 Wu, Zhengguang 4 Yu, Zhanhua 4 Zhang, Lixian 4 Zhou, Qi 3 Abbas, Said 3 Agarwal, Ravi P. 3 Alotaibi, Abdullah M. 3 Basin, Michael V. 3 Boukas, El-Kébir 3 Buckwar, Evelyn 3 Caponetti, Diana 3 Chen, Bing 3 Cheng, Lixin 3 Chlebowicz, Agnieszka 3 Ćwiszewski, Aleksander 3 Djebali, Smail 3 Franco Leis, Daniel 3 Gan, Siqing 3 Gao, Huijun 3 Guo, Qian 3 Guo, Yongfeng 3 Henderson, Johnny Lee 3 Henríquez, Hernán R. 3 Huang, Chengming 3 Kryszewski, Wojciech 3 Lan, Do 3 Li, Hongyi 3 Li, Sen 3 Li, Shoumei 3 Lin, Chong 3 Liu, Jun 3 Liu, Mingzhu 3 Mao, Wei 3 Men, Weiwei 3 Ning, Zepeng 3 Ouahab, Abdelghani 3 Park, Juhyun (Jessie) 3 Patterson, Denis D. 3 Perán, Juan 3 Rabbani, Mohsen 3 Raynaud de Fitte, Paul 3 Segura, Juan 3 Senthilkumar, T. 3 Shargorodsky, Eugene 3 Tahmasebi, Mahdieh 3 Tan, Jianguo 3 Trombetta, Alessandro 3 Trombetta, Giulio 3 Wang, Guoliang ...and 637 more Authors
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### Cited in 160 Serials

 30 Journal of Mathematical Analysis and Applications 24 Applied Mathematics and Computation 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Journal of the Franklin Institute 19 Automatica 17 Journal of Computational and Applied Mathematics 17 Systems & Control Letters 16 Computers & Mathematics with Applications 16 Abstract and Applied Analysis 14 Advances in Difference Equations 13 International Journal of Control 12 Journal of Difference Equations and Applications 11 International Journal of Systems Science 9 Filomat 9 Discrete Dynamics in Nature and Society 9 Discrete and Continuous Dynamical Systems. Series B 9 Nonlinear Analysis. Theory, Methods & Applications 8 Stochastic Analysis and Applications 8 International Journal of Robust and Nonlinear Control 7 Chaos, Solitons and Fractals 7 Zeitschrift für Analysis und ihre Anwendungen 6 Mathematical and Computer Modelling 6 Journal of Integral Equations and Applications 6 International Journal of Computer Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 5 Proceedings of the American Mathematical Society 5 Statistics & Probability Letters 5 Applied Mathematics Letters 5 Journal of Mathematical Sciences (New York) 5 Mathematical Problems in Engineering 5 Stochastics 5 Nonlinear Analysis. Hybrid Systems 5 Journal of Function Spaces 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Differential Equations 4 Circuits, Systems, and Signal Processing 4 Russian Mathematics 4 Discrete and Continuous Dynamical Systems 4 Fractional Calculus & Applied Analysis 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 Czechoslovak Mathematical Journal 3 Functional Analysis and its Applications 3 Journal of Functional Analysis 3 Journal of Optimization Theory and Applications 3 Mathematics and Computers in Simulation 3 Physica D 3 Applied Numerical Mathematics 3 Numerical Algorithms 3 Random Operators and Stochastic Equations 3 Chaos 3 Journal of Evolution Equations 3 Stochastics and Dynamics 3 Journal of Fixed Point Theory and Applications 3 International Journal of Differential Equations 3 Asian Journal of Control 2 Applicable Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Notes 2 Ukrainian Mathematical Journal 2 Archiv der Mathematik 2 Demonstratio Mathematica 2 Fuzzy Sets and Systems 2 Integral Equations and Operator Theory 2 Journal of Soviet Mathematics 2 Mathematica Slovaca 2 Numerische Mathematik 2 SIAM Journal on Control and Optimization 2 Topology and its Applications 2 Signal Processing 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Nonlinear Dynamics 2 LMS Journal of Computation and Mathematics 2 The ANZIAM Journal 2 Nonlinear Analysis. Modelling and Control 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 Central European Journal of Mathematics 2 Thai Journal of Mathematics 2 Banach Journal of Mathematical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Afrika Matematika 2 Palestine Journal of Mathematics 2 Advances in Nonlinear Analysis 1 International Journal of Theoretical Physics 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Annales Polonici Mathematici 1 BIT 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Applied Probability 1 Numerical Functional Analysis and Optimization ...and 60 more Serials
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### Cited in 37 Fields

 196 Systems theory; control (93-XX) 194 Probability theory and stochastic processes (60-XX) 176 Operator theory (47-XX) 165 Ordinary differential equations (34-XX) 66 Numerical analysis (65-XX) 59 Integral equations (45-XX) 56 Functional analysis (46-XX) 48 Difference and functional equations (39-XX) 33 Dynamical systems and ergodic theory (37-XX) 29 Partial differential equations (35-XX) 22 Biology and other natural sciences (92-XX) 12 Real functions (26-XX) 10 General topology (54-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Sequences, series, summability (40-XX) 6 Operations research, mathematical programming (90-XX) 5 Measure and integration (28-XX) 5 Information and communication theory, circuits (94-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Statistics (62-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic topology (55-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX)