Stability of an abstract system with infinite history

Abderrahmane Youkana

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arXiv · 1805.07964

Stability of an abstract system with infinite history

Abderrahmane Youkana

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Abstract

This work is concerned with stabilization of an abstract linear dissipative integrodiffrential 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 result improves earlier results in the literature.

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Abderrahmane Youkana. 2018-05-21. Stability of an abstract system with infinite history. https://arxiv.org/abs/1805.07964

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