Asymptotics for a dissipative dynamical system with linear and gradient-driven damping

Autor:	Yuhu Wu, Xiaoping Xue
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	dissipative dynamical systems nonlinear damping asymptotic behavior convex minimization Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 18, Iss 5 (2013)
Druh dokumentu:	article
ISSN:	13926292 1392-6292 1648-3510
DOI:	10.3846/13926292.2013.868842
Popis:	We study, in the setting of a real Hilbert space H, the asymptotic behavior of trajectories of the second-order dissipative dynamical system with linear and gradient-driven nonlinear damping where λ > 0 and f, Φ: H → R are two convex differentiable functions. It is proved that if Φ is coercive and bounded from below, then the trajectory converges weakly towards a minimizer of Φ. In particular, we state that under suitable conditions, the trajectory strongly converges to the minimizer of Φ exponentially or polynomially.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/df2b4ba5aefc4b23967d593c22970c64 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF