M. Balti

most citedAsymptotic for a semilinear hyperbolic equation with asymptotically vanishing damping term, convex potential, and integrable source

1 citations · 1 across the 2 of their papers we have counts for

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math.OC2016

Asymptotic for the perturbed heavy ball system with vanishing damping term

Mounir Balti, Ramzi May

We investigate the long time behavior of solutions to the differential equation $x ¨ (t) + \frac{c}{( t + 1 ) ^{α}} x ˙ (t) + \nablaΦ (x (t)) = g (t), t \geq 0,$ wh…

math.OC2016★ 1 cited

Asymptotic for a semilinear hyperbolic equation with asymptotically vanishing damping term, convex potential, and integrable source

Mounir Balti, Ramzi May

We investigate the long time behavior of solutions to semilinear hyperbolic equation (E $_{α}$ ): $u^{''} (t) + γ (t) u^{'} (t) + A u (t) + f (u (t)) = g (t), t \geq 0,$ where $A$ is a s…