General decay estimate of energy for the second order evolution equations with memory. (English) Zbl 1194.35060
Summary: The decay estimate of the energy of mild solutions is established for the second order evolution equations with memory. Our approach is based on the Lyapunov functional and perturbed energy method.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35L90 | Abstract hyperbolic equations |
| 35R09 | Integro-partial differential equations |
| 35B45 | A priori estimates in context of PDEs |
| 47D06 | One-parameter semigroups and linear evolution equations |
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