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

In this paper, we investigate the wave equation utt(x,t)- u(x,t) - utt(x,t) + 1(t)t (x,t) + u2(t)t (x,t - )=0 with a constant weak delay.

under certain assumptions and in a confined domain First, we use the Faedo-Galerkin technique and uniqueness to verify global existence. Second, the multiplier approach is employed to determine the solution's stability.

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/5419