Asymptotic behaviour of a stochastic semilinear dissipative
functional equation without uniqueness of solutions
Tomás Caraballo - Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla, Spain (email)
Abstract: In this work we present the existence and uniqueness of pullback and random attractors for stochastic evolution equations with infinite delays when the uniqueness of solutions for these equations is not required. Our results are obtained by means of the theory of set-valued random dynamical systems and their conjugation properties.
Keywords: Multivalued non-autonomous and
random dynamical systems, pullback and random attractors, functional
stochastic equations, conjugacy method.
Received: February 2009; Revised: July 2009; Published: June 2010.
2011 Impact Factor.921