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Transmission system for waves with nonlinear weights and delay | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 80، دوره 13، شماره 2، مهر 2022، صفحه 971-982 اصل مقاله (381.36 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23229.2499 | ||
| نویسندگان | ||
| Aissa Benseghir* ؛ Hamid Benseridi؛ Mourad Dilmi | ||
| Applied Mathematical Laboratory (LaMa), Faculty of Sciences, University of Setif 1- SETIF, 19000, Algeria | ||
| تاریخ دریافت: 03 اردیبهشت 1400، تاریخ بازنگری: 13 تیر 1400، تاریخ پذیرش: 14 تیر 1400 | ||
| چکیده | ||
| In this paper we consider a transmission problem for one dimensional waves with nonlinear weights on the frictional damping and time delay. We prove first, the existence and the uniqueness of the solution using the semigroup theory. Second, we chow the exponential stability of the solution by introducing a suitable Lyaponov functional. | ||
| کلیدواژه‌ها | ||
| transmission system؛ delay term؛ nonlinear weights؛ exponential stability | ||
| مراجع | ||
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