MELOUKA, REMIL and HAYET, BENYAMINA and SORAYA, ZERIGUE (2020) GLOBAL EXISTENCE AND STABILITY OF SOLUTION FOR A WAVE EQUATION WITH A CONSTANT DELAY AND A WEAK INTERNAL FEEDBACK. Asian Journal of Mathematics and Computer Research, 27 (3). pp. 25-37.
Full text not available from this repository.Abstract
In this work, we study the following wave equation with a constant weak delay
utt(x,t)- Δu(x,t) - Δutt(x,t) + μ1(t)μt (x,t) + u2(t)μt (x,t - τ)=0
in a bounded domain and under some assumptions. First, we prove the global existence by using Faedo-Galerkin procedure and uniqueness. Secondly, the multiplier method is used to establish the stability of solution.
| Item Type: | Article |
|---|---|
| Subjects: | Eurolib Press > Mathematical Science |
| Depositing User: | Managing Editor |
| Date Deposited: | 09 Jan 2024 06:58 |
| Last Modified: | 09 Jan 2024 06:58 |
| URI: | http://info.submit4journal.com/id/eprint/3235 |
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