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Existence and exponential decay of solutions for magnetic effected piezoelectric beams with second sound and distributed delay term
Douib, Madani
2023
Abstract
This paper is concerned with a system of magnetic effected piezoelectric beams with distributed delay term, where the heat flux is given by Cattaneo’s law (second sound). We prove the existence and the uniqueness of the solution using the semigroup theory. Then, we establish the exponential stability of the solution by introducing a suitable Lyapunov functional.
Publisher
EUT Edizioni Università di Trieste
Source
Madani Douib, "Existence and exponential decay of solutions for magnetic effected piezoelectric beams with second sound and distributed delay term" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.55 (2023)", EUT Edizioni Università di Trieste, Trieste, 2023, pp.
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale