Random attractor of stochastic partly dissipative systems perturbed by Lévy noise
Department of Mathematics, National University of Defense and Technology, Changsha 410073, China
Journal of Inequalities and Applications 2012, 2012:132 doi:10.1186/1029-242X-2012-132Published: 11 June 2012
The current paper is devoted to random dynamics of stochastic partly dissipative systems perturbed by Lévy noise. By the technique of dissipative in probability and multivalued random dynamical systems (MRDS), the existences of random attractor for MRDS generated by the stochastically perturbed partly dissipative systems are provided, both the weaker restrictions and stronger restrictions on the coefficients of Lévy noise respectively.
Mathematics Subject Classification: 35R60; 60H15; 35K57.