Convergence to equilibrium for second order differential equations with weak damping of memory type / R. Zacher

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cbs.date.changed2021-02-18
cbs.date.creation2008-11-26
cbs.picatypeOa
cbs.publication.displayformHalle : Inst. für Mathematik, 2008
dc.contributor.contributorZacher, R.
dc.date.accessioned2025-06-02T12:20:34Z
dc.date.issued2008
dc.description.abstractWe study the asymptotic behaviour, as t ! 1, of bounded solutions to a second order integro-differential equation in finite dimensions where the damping term is of memory type and can be of arbitrary fractional order less than 1. We derive appropriate Lyapunov functions for this equation and prove that any global bounded solution converges to an equilibrium of a related equation, if the nonlinear potential E occurring in the equation satisfies the Lojasiewicz inequality.de
dc.description.noteParallel als Buch-Ausg. erschienen
dc.format.extentOnline-Resource (PDF-Datei: 17 S., 0,28 MB)
dc.genrebook
dc.identifier.ppn585786828
dc.identifier.urihttps://epflicht.bibliothek.uni-halle.de/handle/123456789/15500
dc.identifier.urnurn:nbn:de:gbv:3:2-7754
dc.identifier.vl-id46969
dc.language.isoeng
dc.publisherInst. für Mathematik
dc.relation.ispartofseriesReports ; 2008,15 ppn:584754027
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc510
dc.titleConvergence to equilibrium for second order differential equations with weak damping of memory type / R. Zacher
dc.typeBook
dspace.entity.typeMonograph
local.accessrights.itemAnonymous
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Convergence to equilibrium for second order differential equations with weak damping of memory type
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