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.

## 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 |
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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 |