Oleksiy Kapustyan, Mykola Perestyuk and Iryna Romaniuk

Global Attractor of a Weakly Nonlinear Parabolic System with Discontinuous Trajectories

abstract:
In the paper, we prove the existence of a global attractor for an impulsive dynamical system, which is generated by a weakly nonlinear parabolic system, when its trajectories have jumps at moments of intersection with certain surface of the phase space.

Mathematics Subject Classification: 35B40, 35B41, 35K55, 37B25, 58C06

Key words and phrases: Impulsive perturbation, multivalued dynamical system, global attractor