A nonautonomous delayed viscoelastic wave equation with a linear damping: well-posedness and exponential stability
Publish place: Journal of Mathematical Modeling، Vol: 12، Issue: 2
Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-12-2_009
تاریخ نمایه سازی: 18 تیر 1403
Abstract:
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.
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Authors
Marwa Djemoui
Laboratory of Pure and Applied Mathematics, University of Laghouat, Laghouat, Algeria
Houria Chellaoua
Department 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
Yamna Boukhatem
National Higher School of Mathematics, Mahelma, Sidi Abdellah, Algeria. Laboratory of Pure and Applied Mathematics, University of Laghouat, Laghouat, Algeria
