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 | 308 | 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 | 163 | 2008 |
Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions T Caraballo, MJ Garrido-Atienza, B Schmalfuss, J Valero Discrete Contin. Dyn. Syst. Ser. B 14 (2), 439-455, 2010 | 133 | 2010 |
Ergodicity of the infinite dimensional fractional Brownian motion MJ Garrido-Atienza, B Schmalfuß Journal of Dynamics and Differential Equations 23 (3), 671-681, 2011 | 106 | 2011 |
Stochastic stabilization of differential systems with general decay rate T Caraballo, MJ Garrido-Atienza, J Real Systems & control letters 48 (5), 397-406, 2003 | 92 | 2003 |
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 | 79 | 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 | 76 | 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 | 73 | 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 | 68 | 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 | 68 | 2010 |
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 | 64 | 2014 |
Navier–Stokes equations with delays on unbounded domains MJ Garrido-Atienza, P Marín-Rubio Nonlinear Analysis: Theory, Methods & Applications 64 (5), 1100-1118, 2006 | 64 | 2006 |
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 | 60 | 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 | 58 | 2016 |
Random differential equations with random delays MJ Garrido-Atienza, A Ogrowsky, B Schmalfuß Stochastics and Dynamics 11 (02n03), 369-388, 2011 | 57 | 2011 |
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 | 39 | 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 | 36 | 2018 |
Asymptotic stability of nonlinear stochastic evolution equations T Caraballo, MJ Garrido-Atienza, J Real Taylor & Francis Group 21 (2), 301-327, 2003 | 34 | 2003 |
Stochastic lattice dynamical systems with fractional noise H Bessaih, MJ Garrido-Atienza, X Han, B Schmalfuss SIAM Journal on Mathematical Analysis 49 (2), 1495-1518, 2017 | 33 | 2017 |
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 | 30 | 2014 |