Attracting sets of impulse-perturbed heat equation in the space of continuous functions

Oleksiy Kapustyan; Olena Kapustian; Ihor Korol; Bruno Rubino;


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

Download: MMN-4213