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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 | ||
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