A class of second-order abstract systems with memory and Dirichlet boundary conditions is investigated. By suitable Liapunov functionals, existence of solutions as well as asymptotic behavior, are determined. In particular, when the memory kernel decays exponentially, the polynomially decay of the solutions is proved.

Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory

NASO, MARIA GRAZIA;
2003-01-01

Abstract

A class of second-order abstract systems with memory and Dirichlet boundary conditions is investigated. By suitable Liapunov functionals, existence of solutions as well as asymptotic behavior, are determined. In particular, when the memory kernel decays exponentially, the polynomially decay of the solutions is proved.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/703
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