Asymptotics for a gradient system with memory term
نویسندگان
چکیده
منابع مشابه
Asymptotics for a gradient system with memory term
Given a Hilbert space H and a function Φ : H → R of class C1, we investigate the asymptotic behavior of the trajectories associated to the following dynamical system (S) ẋ(t) + 1 k(t) ∫ t t0 h(s)∇Φ(x(s)) ds = 0, t ≥ t0, where h, k : [t0,+∞) → R+ are continuous maps. When k(t) ∼ ∫ t t0 h(s) ds as t → +∞, this equation can be interpreted as an averaged gradient system. We define a natural energy ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2009
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-09-09910-9