Bonotto, E.M. Bortolan, M.C. Collegari, R. and Czaja, R. 2016. Semicontinuity of attractors for impulsive dynamical systems. Journal of Differential Equations,
Carvalho, Alexandre N. Langa, José A. and Robinson, James C. 2015. Non-autonomous dynamical systems. Discrete and Continuous Dynamical Systems - Series B, Vol. 20, Issue. 3, p. 703.
Bortolan, M.C. Carvalho, A.N. and Langa, J.A. 2014. Structure of attractors for skew product semiflows. Journal of Differential Equations, Vol. 257, Issue. 2, p. 490.
Arrieta, José M. Carvalho, Alexandre N. Langa, José A. and Rodriguez-Bernal, Aníbal 2012. Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations. Journal of Dynamics and Differential Equations, Vol. 24, Issue. 3, p. 427.
Bortolan, M.C. Caraballo, T. Carvalho, A.N. and Langa, J.A. 2012. An estimate on the fractal dimension of attractors of gradient-like dynamical systems. Nonlinear Analysis: Theory, Methods & Applications, Vol. 75, Issue. 14, p. 5702.
Rivero, Felipe 2012. Time dependent perturbation in a non-autonomous non-classical parabolic equation. Discrete and Continuous Dynamical Systems - Series B, Vol. 18, Issue. 1, p. 209.
Angeli, David and Praly, Laurent 2011. Stability Robustness in the Presence of Exponentially Unstable Isolated Equilibria. IEEE Transactions on Automatic Control, Vol. 56, Issue. 7, p. 1582.
Caraballo, Tomás Carvalho, Alexandre N. Langa, José A. and Rivero, Felipe 2011. A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor. Nonlinear Analysis: Theory, Methods & Applications, Vol. 74, Issue. 6, p. 2272.
Chekroun, Mickaël D. Simonnet, Eric and Ghil, Michael 2011. Stochastic climate dynamics: Random attractors and time-dependent invariant measures. Physica D: Nonlinear Phenomena, Vol. 240, Issue. 21, p. 1685.
Wang, Bixiang 2011. Almost periodic dynamics of perturbed infinite-dimensional dynamical systems. Nonlinear Analysis: Theory, Methods & Applications, Vol. 74, Issue. 18, p. 7252.
Carvalho, Alexandre N. and Langa, José A. 2009. An extension of the concept of gradient semigroups which is stable under perturbation. Journal of Differential Equations, Vol. 246, Issue. 7, p. 2646.
This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic solutions, generalizing previous results valid only for gradient-like systems in which the hyperbolic solutions are equilibria. The tools employed are a study of the continuity of the local unstable manifolds of the hyperbolic solutions and results on the continuity of the exponential dichotomy of the linearization around each of these solutions.
This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.
Email your librarian or administrator to recommend adding this journal to your organisation's collection.