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Artículo
Stability results for 2D Navier-Stokes equations with unbounded delay
(Elsevier, 2018-12-05)
Some results related to 2D Navier-Stokes equations when the external force contains hereditary characteristics involving unbounded delays are analyzed. First, the existence and uniqueness of solutions is proved by Galerkin ...
Artículo
Stability of Gradient Semigroups Under Perturbations
(2011)
In this paper we prove that gradient-like semigroups (in the sense of Carvalho and Langa (2009 J. Diff. Eqns 246 2646–68)) are gradient semigroups (possess a Lyapunov function). This is primarily done to provide conditions ...
Artículo
Asymptotic Behaviour of 2D-Navier-Stokes Equations with Delays
(2003)
Some results on the asymptotic behaviour of solutions to Navier-Stokes equations when the external force contains some hereditary characteristics are proved. We show two different approaches to prove the convergence of ...
Artículo
On the Pathwise Exponential Stability of Nonlinear Stochastic Partial-Differential Equations
(1994)
Sufficient conditions to get exponential stability for the sample paths (with probability one) of a non-linear monotone stochastic Partial Differential Equation are proved. In fact, we improve a stability criterion established ...
Artículo
On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations
(American Institute of Mathematical Sciences, 2019-10)
In this paper, under a local Lipschitz condition and a monotonicity condition, the problems on the existence and uniqueness theorem as well as the almost surely asymptotic behavior for the global solution of highly nonlinear ...
Artículo
On the stability of impulsive functional differential equations with infinite delays
(2015)
In this paper, the stability problem of impulsive functional differential equations with infinite delays is considered. By using Lyapunov functions and the Razumikhin technique, some new theorems on the uniform stability ...
Artículo
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton-Boussinesq equations with delays
(Elsevier, 2023-10-03)
In this paper, we establish theoretical results on the stability of random regular attractors. First, we introduce a backward regular attractor, which is a new type of attractor defined by a minimal backward pullback ...
Artículo
Stability of fractionally dissipative 2D quasi-geostrophic equation with infinite delay
(Springer, 2020-08-18)
In this paper, fractionally dissipative 2D quasi-geostrophic equations with an external force containing infinite delay is considered in the space Hs with s ≥ 2 − 2α and α ∈ ( 1 2 , 1). First, we investigate the existence ...
Artículo
Stability of Nonlinear Functional Stochastic Evolution Equations of Second Order in Time
(2006)
Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations of second order in time are established. As a consequence of these results, the pathwise exponential ...