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A nonautonomous delayed viscoelastic wave equation with a linear damping: well-posedness and exponential stability | ||
Journal of Mathematical Modeling | ||
مقاله 9، دوره 12، شماره 2، مهر 2024، صفحه 319-336 اصل مقاله (204.63 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2024.26420.2331 | ||
نویسندگان | ||
Marwa Djemoui1؛ Houria Chellaoua* 2؛ Yamna Boukhatem3 | ||
1Laboratory of Pure and Applied Mathematics, University of Laghouat, Laghouat, Algeria | ||
2Department of Mathematics and Computer Science. Faculty of Science and Technology, University of Ghardaia, Ghardaia, Algeria. Laboratory of Pure and Applied Mathematics, University of Laghouat, Laghouat, Algeria | ||
3National Higher School of Mathematics, Mahelma, Sidi Abdellah, Algeria. Laboratory of Pure and Applied Mathematics, University of Laghouat, Laghouat, Algeria | ||
چکیده | ||
In this paper, we consider a nonautonomous viscoelastic wave equation with linear damping and delayed terms. Under some appropriate assumptions, we prove the global existence using the semi-group theory. Furthermore, for a small enough coefficient of delay, we obtained a stability result via a suitable Lyapunov function where the kernel function decays exponentially. | ||
کلیدواژهها | ||
Energy decay؛ global existence؛ Lyapunov functional؛ time delay | ||
آمار تعداد مشاهده مقاله: 123 تعداد دریافت فایل اصل مقاله: 198 |