MMN-4213
Attracting sets of impulse-perturbed heat equation in the space of continuous functions
Oleksiy Kapustyan; Olena Kapustian; Ihor Korol; Bruno Rubino;Abstract
The paper deals with the impulsive infinite-dimensional problem generated by solutions
of the thermal conductivity equation under the condition of impulse ”pumping” of heat.
Moments of impulsive are not fixed and are determined by the amount of total heat in the system.
It is proved that such a problem generates impulsive dynamical system in the space of continuous
functions and its w-limits sets are investigated.
Vol. 25 (2024), No. 1, pp. 317-327