In this paper we study the asymptotic behavior of a class of linear dissipative integral differential equations $u _{tt}(t) +A u (t) - \int_0^\infty {g}(s)\, {A}^{\alpha} u(t-s)\,ds=0$. We show that the solution decays and the decay rate is optimal.
Optimal energy decay rate for a class of weakly dissipative second-order systems with memory
NASO, MARIA GRAZIA
2010-01-01
Abstract
In this paper we study the asymptotic behavior of a class of linear dissipative integral differential equations $u _{tt}(t) +A u (t) - \int_0^\infty {g}(s)\, {A}^{\alpha} u(t-s)\,ds=0$. We show that the solution decays and the decay rate is optimal.File in questo prodotto:
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