Convergence to equilibrium for second order differential equations with weak damping of memory type / R. Zacher
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Convergence to equilibrium for second order differential equations with weak damping of memory type
Discovery
585786828
URN
urn:nbn:de:gbv:3:2-7754
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Publication history
Halle : Inst. für Mathematik, 2008
Content
Online-Resource (PDF-Datei: 17 S., 0,28 MB)
Edition
Language
eng
Comment
Parallel als Buch-Ausg. erschienen
Abstract
We 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.
Series
Reports ; 2008,15 ppn:584754027