Oleksiy Kapustyan, Mykola Perestyuk and Iryna Romaniuk
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