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 impulses 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 ω-limits sets are investigated.
Attracting sets of impulse-perturbed heat equation in the space of continuous functions
Kapustyan, OleksiyMembro del Collaboration Group
;Kapustian, OlenaMembro del Collaboration Group
;Rubino, Bruno
2024-01-01
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 impulses 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 ω-limits sets are investigated.File in questo prodotto:
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