Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664293 | Acta Mathematica Scientia | 2012 | 9 Pages |
Abstract
Asymptotic behaviour of solutions is studied for some second order equations including the model case with γ > 0 and h ∈ L1(0, + ∞ H), Φ being continuouly differentiable with locally Lipschitz continuous gradient and bounded from below. In particular when Φ is convex, all solutions tend to minimize the potential Φ as time tends to infinity and the existence of one bounded trajectory implies the weak convergence of all solutions to equilibrium points.
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