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In the setting of a real Hilbert space , we investigate the asymptotic behavior, as time goes to infinity, of trajectories of second-order evolution equations () +
() +
(()) + (()) = 0, where
is the gradient operator of a convex differentiable potential function : ,: is a maximal monotone operator which is assumed to be-cocoercive, and > 0 is a damping parameter. Potential and non-potential effects are associated respectively...
In the setting of
a real Hilbert space , we investigate the asymptotic behavior, as time t goes to infinity, of trajectories of second-order evolution
equations
ü(t) + γ
(t) + ∇
ϕ(u(t)) + A(...
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