GLOBAL EXISTENCE AND STABILITY OF SOLUTION FOR A WAVE EQUATION WITH A CONSTANT DELAY AND A WEAK INTERNAL FEEDBACK

Main Article Content

REMIL MELOUKA
BENYAMINA HAYET
ZERIGUE SORAYA

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.

Keywords:
Energy decay, viscoelastic, Faedo-Galerkin, multiplier method

Article Details

How to Cite
MELOUKA, R., HAYET, B., & SORAYA, Z. (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), 25-37. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/5419
Section
Short Research Article

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