Decay Properties for Transmission System with Infinite Memory and Distributed Delay

Autor:	Hicham Saber, Abdelkader Braik, Noureddine Bahri, Abderrahmane Beniani, Tariq Alraqad, Yousef Jawarneh, Khaled Zennir
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Lyapunov functions transmission problem well-posedness internal distributed delay exponential stability multiplier method Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 8, Iss 2, p 94 (2024)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract8020094
Popis:	We consider a damped transmission problem in a bounded domain where the damping is effective in a neighborhood of a suitable subset of the boundary. Using the semigroup approach together with Hille–Yosida theorem, we prove the existence and uniqueness of global solution. Under suitable assumption on the geometrical conditions on the damping, we establish the exponential stability of the solution by introducing a suitable Lyapunov functional.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/5c9f9eacdd97475ebd0c5dc7bc9387a8 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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