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Artículo
Existence of exponentially attracting stationary solutions for delay evolution equations
(2007)
We consider the exponential stability of semilinear stochastic evolution equations with delays when zero is not a solution for these equations. We prove the existence of a non-trivial stationary solution exponentially ...
Artículo
Non-autonomous and random attractors for delay random semilinear equations without uniqueness
(2008)
We first prove the existence and uniqueness of pullback and random attractors for abstract multi-valued non-autonomous and random dynamical systems. The standard assumption of compactness of these systems can be replaced ...
Artículo
Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I
(2009)
The well-known Favard's theorem states that the linear differential equation x′=A(t)x+f(t) Turn MathJax on with Bohr almost periodic coefficients admits at least one Bohr almost periodic solution if it has a bounded ...
Artículo
Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. II
(2009)
In this paper we continue the research started in a previous paper, where we proved that the linear differential equation (1) x0 = A(t)x + f(t) with Levitan almost periodic coefficients has a unique Levitan almost periodic ...