Oleksiy Kapustyan, Olena Kapustian, Ihor Korol and Bruno
Rubino
Vol. 11 (2023), No. 1, 45–55
DOI: 10.2140/memocs.2023.11.45
Abstract
The paper deals with the existence and invariance of uniform attractors of
impulse-perturbed reaction-diffusion system. Moments of impulsive perturbation are
not fixed and are determined by the getting of trajectory into a given subset
of the
phase space. At the moment of getting, the phase variable undergoes a fixed increment. It
is proved that such a problem generates impulsive dynamical system that has the uniform
attractor
,
and the set
is invariant with respect to the impulsive semiflow.