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1

Existence of exponentially attracting stationary solutions for delay evolution equations

Schmalfuss, B., Garrido-Atienza, M., Caraballo, Tomás

Journal:

Discrete and Continuous Dynamical Systems

Year:

2007

Language:

english

File:

PDF, 266 KB

english, 2007

2

RANDOM DIFFERENTIAL EQUATIONS WITH RANDOM DELAYS

GARRIDO-ATIENZA, M. J., OGROWSKY, A., SCHMALFUSS, B.

Journal:

Stochastics and Dynamics

Year:

2011

Language:

english

File:

PDF, 258 KB

english, 2011

3

[WORLD SCIENTIFIC Proceedings of the International Conference on Differential Equations - Hasselt, Belgium (22 – 26 July 2003)] EQUADIFF 2003 - ON THE STABILITY OF STATIONARY SOLUTIONS OF STOCHASTIC EVOLUTION EQUATIONS WITH DELAYS

CARABALLO, T., GARRIDO-ATIENZA, M.J., SCHMALFUSS, B.

File:

PDF, 122 KB

4

Global attractor for a non-autonomous integro-differential equation in materials with memory

T. Caraballo, M.J. Garrido-Atienza, B. Schmalfuß, J. Valero

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2010

Language:

english

File:

PDF, 487 KB

english, 2010

5

Navier–Stokes equations with delays on unbounded domains

María José Garrido-Atienza, Pedro Marín-Rubio

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2006

Language:

english

File:

PDF, 210 KB

english, 2006

6

STOCHASTIC POROUS MEDIA EQUATION DRIVEN BY FRACTIONAL BROWNIAN MOTION

BÁRTEK, JAN, GARRIDO-ATIENZA, MARÍA J., MASLOWSKI, BOHDAN

Journal:

Stochastics and Dynamics

Year:

2013

Language:

english

File:

PDF, 356 KB

english, 2013

7

On fractional Brownian motions and random dynamical systems

María J. Garrido-Atienza, Björn Schmalfuß

Journal:

Year:

2010

Language:

english

File:

PDF, 579 KB

english, 2010

8

Stochastic stabilization of differential systems with general decay rate

Tomás Caraballo, Marı́a J. Garrido-Atienza, José Real

Journal:

Systems & Control Letters

Year:

2003

Language:

english

File:

PDF, 175 KB

english, 2003

9

Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in (1/2,1)

Duc, L.H., Garrido-Atienza, M.J., Neuenkirch, A., Schmalfuß, B.

Journal:

Journal of Differential Equations

Year:

2017

Language:

english

File:

PDF, 1.17 MB

english, 2017

10

Existence and uniqueness of solutions for delay evolution equations of second order in time

Marı́a J Garrido-Atienza, José Real

Journal:

Journal of Mathematical Analysis and Applications

Year:

2003

Language:

english

File:

PDF, 229 KB

english, 2003

11

RANDOM ATTRACTORS FOR STOCHASTIC EQUATIONS DRIVEN BY A FRACTIONAL BROWNIAN MOTION

GARRIDO-ATIENZA, M. J., MASLOWSKI, B., SCHMALFUß, B.

Journal:

International Journal of Bifurcation and Chaos

Year:

2010

Language:

english

File:

PDF, 402 KB

english, 2010

12

Stochastic Lattice Dynamical Systems with Fractional Noise

Bessaih, Hakima, Garrido-Atienza, María J., Han, Xiaoying, Schmalfuss, Björn

Journal:

SIAM Journal on Mathematical Analysis

Year:

2017

Language:

english

File:

PDF, 393 KB

english, 2017

13

Random Attractors for Stochastic Evolution Equations Driven by Fractional Brownian Motion

Gao, Hongjun, Garrido-Atienza, María J., Schmalfuss, Björn

Journal:

SIAM Journal on Mathematical Analysis

Year:

2014

Language:

english

File:

PDF, 388 KB

english, 2014

14

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR DELAY STOCHASTIC EVOLUTION EQUATIONS

Caraballo, Tomás, Garrido-Atienza, María J., Real, José

Journal:

Stochastic Analysis and Applications

Year:

2002

Language:

english

File:

PDF, 335 KB

english, 2002

15

Ergodicity of the Infinite Dimensional Fractional Brownian Motion

María J. Garrido-Atienza, Björn Schmalfuß

Journal:

Journal of Dynamics and Differential Equations

Year:

2011

Language:

english

File:

PDF, 176 KB

english, 2011

16

Local Stability of Differential Equations Driven by Hölder-Continuous Paths with Hölder Index in (1/3,1/2)

Garrido-Atienza, María J., Schmalfuss, Björn

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2018

Language:

english

File:

PDF, 446 KB

english, 2018

17

Compensated fractional derivatives and stochastic evolution equations

María J. Garrido-Atienza, Kening Lu, Björn Schmalfuß

Journal:

Comptes Rendus Mathematique

Year:

2012

Language:

french

File:

PDF, 174 KB

french, 2012

18

The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion

T. Caraballo, M.J. Garrido-Atienza, T. Taniguchi

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2011

Language:

english

File:

PDF, 281 KB

english, 2011

19

Retarded evolution systems driven by fractional Brownian motion with Hurst parameter

Diop, Mamadou A., Garrido-Atienza, María J.

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2014

Language:

english

File:

PDF, 459 KB

english, 2014

20

Stochastic shell models driven by a multiplicative fractional Brownian-motion

Bessaih, Hakima, Garrido-Atienza, María J., Schmalfuss, Björn

Journal:

Physica D: Nonlinear Phenomena

Year:

2016

Language:

english

File:

PDF, 467 KB

english, 2016

21

The Exponential Behaviour of Nonlinear Stochastic Functional Equations of Second Order in Time

Caraballo, Tomás, Garrido-Atienza, María J., Real, José

Journal:

Stochastics and Dynamics

Year:

2003

Language:

english

File:

PDF, 217 KB

english, 2003

22

Existence and Uniqueness of Solutions for Delay Stochastic Evolution Equations of Second Order in Time

Garrido-Atienza, María J., Real, José

Journal:

Stochastics and Dynamics

Year:

2003

Language:

english

File:

PDF, 271 KB

english, 2003

23

Setvalued Dynamical Systems for Stochastic Evolution Equations Driven by Fractional Noise

Garrido-Atienza, M. J., Schmalfuss, B., Valero, J.

Journal:

Journal of Dynamics and Differential Equations

Year:

2019

File:

PDF, 410 KB

2019

24

Non--autonomous and random attractors for delay random semilinear equations without uniqueness

Valero, José, Schmalfuss, B., Garrido-Atienza, M., Caraballo, Tomás

Journal:

Discrete and Continuous Dynamical Systems

Year:

2008

Language:

english

File:

PDF, 324 KB

english, 2008

25

On 3D Navier–Stokes equations: Regularization and uniqueness by delays

Bessaih, Hakima, Garrido-Atienza, María J., Schmalfuß, Björn

Journal:

Physica D: Nonlinear Phenomena

Year:

2018

Language:

english

File:

PDF, 384 KB

english, 2018

26

Stability of nonlinear functional stochastic evolution equations of second order in time

T. Caraballo, M. J. Garrido-Atienza, J. Real

Journal:

Journal of Mathematical Sciences

Year:

2006

Language:

english

File:

PDF, 190 KB

english, 2006

27

Asymptotical Stability of Differential Equations Driven by Hölder Continuous Paths

Garrido-Atienza, María J., Neuenkirch, Andreas, Schmalfuß, Björn

Journal:

Journal of Dynamics and Differential Equations

Year:

2017

Language:

english

File:

PDF, 507 KB

english, 2017

28

On the approximate controllability of a stochastic parabolic equation with a multiplicative noise

Enrique Fernández-Cara, María José Garrido-Atienza, José Real

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

File:

PDF, 371 KB

1999

29

Retarded Neutral Stochastic Equations Driven by Multiplicative Fractional Brownian Motion

Garrido-Atienza, María J., Huang, Jianhua

Journal:

Stochastic Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 193 KB

english, 2014

30

Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion

María J. Garrido-Atienza, Kening Lu, Björn Schmalfuß

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 364 KB

english, 2010

31

Synchronization of stochastic lattice equations

Bessaih, Hakima, Garrido-Atienza, MarÃa J., KÃ¶pp, Verena, SchmalfuÃ, BjÃ¶rn, Yang, Meihua

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2020

File:

PDF, 480 KB

2020

32

Discretization of Stationary Solutions of Stochastic Systems Driven by Fractional Brownian Motion

María J. Garrido-Atienza, Peter E. Kloeden, Andreas Neuenkirch

Journal:

Applied Mathematics & Optimization

Year:

2009

Language:

english

File:

PDF, 436 KB

english, 2009

33

Asymptotic Stability of Nonlinear Stochastic Evolution Equations

Caraballo, Tomás, Garrido-Atienza, María J., Real, José

Journal:

Stochastic Analysis and Applications

Year:

2003

Language:

english

File:

PDF, 285 KB

english, 2003

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