Abstract
We study the asymptotic behaviour of the trajectories of the second order equation \({\ddot{x}(t)+\gamma \dot{x}(t)+\nabla\phi(x(t))+\varepsilon(t)x(t)=g(t)}\) , where γ > 0, \({g \in L^1([0,+\infty[;H)}\), Φ is a C 2 convex function and \({\varepsilon}\) is a positive nonincreasing function.
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Jendoubi, M.A., May, R. On an asymptotically autonomous system with Tikhonov type regularizing term. Arch. Math. 95, 389–399 (2010). https://doi.org/10.1007/s00013-010-0181-6
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DOI: https://doi.org/10.1007/s00013-010-0181-6