Search Results - "Caraballo, T."

The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion by Caraballo, T., Garrido-Atienza, M.J., Taniguchi, T.

“…In this paper we investigate the existence, uniqueness and exponential asymptotic behavior of mild solutions to stochastic delay evolution equations perturbed…”
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Pullback attractors for asymptotically compact non-autonomous dynamical systems by Caraballo, T., Łukaszewicz, G., Real, J.

“…First, we introduce the concept of pullback asymptotically compact non-autonomous dynamical system as an extension of the similar concept in the autonomous…”
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Attractors for 2D-Navier–Stokes models with delays by Caraballo, T, Real, J

“…The existence of an attractor for a 2D-Navier–Stokes system with delay is proved. The theory of pullback attractors is successfully applied to obtain the…”
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On the stability of impulsive functional differential equations with infinite delays by Li, Xiaodi, Caraballo, T., Rakkiyappan, R., Han, Xiuping

“…In this paper, the stability problem of impulsive functional differential equations with infinite delays is considered. By using Lyapunov functions and the…”
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Robustness of Exponential Dichotomy in a Class of Generalised Almost Periodic Linear Differential Equations in Infinite Dimensional Banach Spaces by Rodrigues, H. M., Caraballo, T., Nakassima, G. K.

“…In this paper we study the robustness of the exponential dichotomy in nonautonomous linear ordinary differential equations under integrally small perturbations…”
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Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems by Bonotto, E. M., Bortolan, M. C., Caraballo, T., Collegari, R.

“…In this work we present results to ensure a weak upper semicontinuity for a family of impulsive cocycle attractors of nonautonomous impulsive dynamical…”
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Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion by Blouhi, T., Caraballo, T., Ouahab, A.

“…Some results on the existence and uniqueness of mild solution for a system of semilinear impulsive differential equations with infinite fractional Brownian…”
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Long time dynamics for functional three-dimensional Navier-Stokes-Voigt equations by Caraballo, T., M. Márquez-Durán, A.

“…In this paper we consider a non-autonomous Navier-Stokes-Voigt model including a variety of delay terms in a unified formulation. Firstly, we prove the…”
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Corrigendum to the paper: Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion. Stoch. Anal. Appl. 34 (2016), no. 5, 792-834 by Blouhi, T., Caraballo, T., Ouahab, A.

“…In this paper we correct an error made in our paper [Blouhi, T.; Caraballo, T.; Ouahab, A. Existence and stability results for semilinear systems of impulsive…”
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Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity by Caraballo, T., Morillas, F., Valero, J.

“…In this article, we study the asymptotic behaviour of solutions of a first-order stochastic lattice dynamical system with an additive noise. We do not assume…”
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Impulsive surfaces on dynamical systems by Bonotto, E. M., Bortolan, M. C., Caraballo, T., Collegari, R.

“…This work is devoted to the construction of impulsive sets in R n . In the literature, there are many examples of impulsive dynamical systems whose impulsive…”
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Non-autonomous Morse-decomposition and Lyapunov functions for gradient-like processes by ARAGÃO-COSTA, E. R., CARABALLO, T., CARVALHO, A. N., LANGA, J. A.

“…We define (time dependent) Morse-decompositions for non-autonomous evolution processes (non-autonomous dynamical systems) and prove that a non-autonomous…”
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Autonomous and non-autonomous attractors for differential equations with delays by Caraballo, T., Marı́n-Rubio, P., Valero, J.

“…The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is analysed. In fact, the existence of…”
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Navier-Stokes equations with delays by Caraballo, Tomás, Real, José

“…Some results on the existence and uniqueness of solutions to Navier–;Stokes equations when the external force contains some hereditary characteristics are…”
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H2-boundedness of the pullback attractor for a non-autonomous reaction-diffusion equation by ANGUIANO, M, CARABALLO, T, REAL, J

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Global attractor for a non-autonomous integro-differential equation in materials with memory by Caraballo, T., Garrido-Atienza, M.J., Schmalfuß, B., Valero, J.

“…The long-time behavior of an integro-differential parabolic equation of diffusion type with memory terms, expressed by convolution integrals involving infinite…”
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An exponential growth condition in H2 for the pullback attractor of a non-autonomous reaction-diffusion equation by ANGUIANO, M, CARABALLO, T, REAL, J

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Asymptotic behaviour of the three-dimensional α-Navier–Stokes model with delays by Caraballo, T., Márquez-Durán, A.M., Real, J.

“…We prove the existence and exponential stability of the stationary solutions for a three-dimensional α-Navier–Stokes model with delays. Instead of working…”
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An estimate on the fractal dimension of attractors of gradient-like dynamical systems by Bortolan, M.C., Caraballo, T., Carvalho, A.N., Langa, J.A.

“…This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradient-like semigroups in a general Banach…”
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Asymptotic behaviour of the three-dimensional α -Navier–Stokes model with locally Lipschitz delay forcing terms by Caraballo, T., Márquez-Durán, A.M., Real, J.

“…We obtain some results on the existence and uniqueness, and exponential stability of solutions for the three-dimensional α -Navier–Stokes model with delays,…”
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