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STABILITY OF AN ABSTRACT SYSTEM WITH INFINITE HISTORY
This work is concerned with stabilization of an abstract linear dissipative integro-differential equation with infinite memory modeling linear viscoelasticity where the relaxation function satisfies $ g'(t)\leq -\xi(t)g^p(t), \forall t\geq 0, 1\leq p<\frac{3}{2}$. Our approach improves and has a better decay rate than the one in the literature.
