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

Kapustyan, Oleksiy and Kapustian, Olena and Korol, Ihor and Rubino, Bruno (2024) Attracting sets of impulse-perturbed heat equation in the space of continuous functions. Miskolc Mathematical Notes, 25 (1). pp. 317-327. ISSN 1787-2413

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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.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Depositing User: Kotegelt Import
Date Deposited: 04 Jun 2024 09:30
Last Modified: 04 Jun 2024 09:30
URI: https://real.mtak.hu/id/eprint/196458

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