Asymptotic behavior of second-order dissipative evolution equations combining potential with non-potential effects

Simple item page
dc.creatorAttouch, Hedy
dc.creatorMainge, Paul-Emile
dc.date2009-05-01
dc.date.accessioned2026-07-07T13:11:00Z
dc.date.available2026-07-07T13:11:00Z
dc.descriptionWe study the asymptotic convergence properties, as the time variable goes to infinity, of trajectories of second-order dissipative evolution equations combining potential with non-potential effects. We exhibit a sharp condition, involving the damping parameter and the cocoercive coefficient of the non-potential operator, which guarantees convergence to equilibria of the trajectories. Applications are given to constrained optimization, fixed point problems, dynamical approach to Nash equilibria, and asymptotic stabilization in the case of a continuum of equilibria.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0905.0092
dc.identifierhttp://arxiv.org/abs/0905.0092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229159
dc.subjectOptimization and Control
dc.subjectClassical Analysis and ODEs
dc.subject34C35; 34D05; 65C25; 90C25; 90C30
dc.titleAsymptotic behavior of second-order dissipative evolution equations combining potential with non-potential effects
dc.typetext

Files

Collections

arXiv