The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion T Caraballo, MJ Garrido-Atienza, T Taniguchi
Nonlinear Analysis: Theory, Methods & Applications 74 (11), 3671-3684, 2011
291 2011 Non-autonomous and random attractors for delay random semilinear equations without uniqueness T Caraballo, MJ Garrido-Atienza, B Schmalfuß, J Valero
Discrete and Continuous Dynamical Systems 21 (2), 415, 2008
166 2008 Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions T Caraballo Garrido, MJ Garrido Atienza, B Schmalfuss, J Valero Cuadra
Discrete and Continuous Dynamical Systems. Series B, 14 (2), 439-455, 2010
129 2010 Stochastic stabilization of differential systems with general decay rate T Caraballo, MJ Garrido-Atienza, J Real
Systems & control letters 48 (5), 397-406, 2003
105 2003 Ergodicity of the infinite dimensional fractional Brownian motion MJ Garrido-Atienza, B Schmalfuß
Journal of Dynamics and Differential Equations 23 (3), 671-681, 2011
98 2011 Random dynamical systems for stochastic partial differentialequations driven by a fractional Brownian motion MJ Garrido–Atienza, K Lu, B Schmalfuss
Discrete and Continuous Dynamical Systems-B 14 (2), 473-493, 2010
77 2010 Pathwise solutions of SPDEs driven by H\" older-continuous integrators with exponent larger than 1/2 and random dynamical systems Y Chen, H Gao, MJ Garrido-Atienza, B Schmalfuss
arXiv preprint arXiv:1305.6903, 2013
68 2013 Discretization of stationary solutions of stochastic systems driven by fractional Brownian motion MJ Garrido-Atienza, PE Kloeden, A Neuenkirch
Applied Mathematics and Optimization 60 (2), 151-172, 2009
67 2009 Random attractors for stochastic equations driven by a fractional Brownian motion MJ Garrido-Atienza, B Maslowski, B SCHMALFUß
International Journal of Bifurcation and Chaos 20 (09), 2761-2782, 2010
63 2010 Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion MJ Garrido-Atienza, K Lu, B Schmalfuß
Journal of Differential Equations 248 (7), 1637-1667, 2010
63 2010 Navier–Stokes equations with delays on unbounded domains MJ Garrido-Atienza, P Marín-Rubio
Nonlinear Analysis: Theory, Methods & Applications 64 (5), 1100-1118, 2006
61 2006 Random attractors for stochastic evolution equations driven by fractional Brownian motion H Gao, MJ Garrido-Atienza, B Schmalfuss
SIAM Journal on Mathematical Analysis 46 (4), 2281-2309, 2014
58 2014 Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in (1/2, 1) LH Duc, MJ Garrido-Atienza, A Neuenkirch, B Schmalfuß
Journal of Differential Equations 264 (2), 1119-1145, 2018
57 2018 Random Dynamical Systems for Stochastic Evolution Equations Driven by Multiplicative Fractional Brownian Noise with Hurst Parameters MJ Garrido-Atienza, K Lu, B Schmalfuss
SIAM Journal on Applied Dynamical Systems 15 (1), 625-654, 2016
55 2016 Random differential equations with random delays MJ Garrido-Atienza, A Ogrowsky, B Schmalfuß
Stochastics and Dynamics 11 (02n03), 369-388, 2011
55 2011 Asymptotic stability of nonlinear stochastic evolution equations T Caraballo, MJ Garrido-Atienza, J Real
Taylor & Francis Group 21 (2), 301-327, 2003
46 2003 Existence and uniqueness of solutions for delay stochastic evolution equations T Caraballo, MJ Garrido-Atienza, J Real
Taylor & Francis Group 20 (6), 1225-1256, 2002
45 2002 Asymptotical stability of differential equations driven by Hölder continuous paths MJ Garrido-Atienza, A Neuenkirch, B Schmalfuß
Journal of Dynamics and Differential Equations 30, 359-377, 2018
31 2018 Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters MJ Garrido-Atienza, K Lu, B Schmalfuss
arXiv preprint arXiv:1411.5237, 2014
31 2014 Modeling and analysis of random and stochastic input flows in the chemostat model T Caraballo Garrido, MJ Garrido Atienza, J López de la Cruz
Discrete and Continuous Dynamical Systems-Series B, 24 (8), 3591-3614., 2019
30 2019