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 | 296 | 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 | 169 | 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 | 131 | 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 | 106 | 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 | 99 | 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 | 70 | 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 |
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 | 32 | 2019 |
Dynamics of some stochastic chemostat models with multiplicative noise T Caraballo, MJ Garrido-Atienza, J López-de-la-Cruz Commun. Pure Appl. Anal 16 (5), 1893-1914, 2017 | 32 | 2017 |
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 |