Energy decay of solutions for a wave equation with a constant weak delay and a weak internal feedback

In this paper, we consider the wave equation with a weak internal constant delay term: $$ u''(x, t)-\Delta_{x}u(x, t)+ \mu_1(t) \ u'(x, t) + \mu_2(t) \ u'(x, t-\tau) = 0 $$ in a bounded domain. Under appropriate conditions on $\mu_1$ and $\mu_2$, we prove global existence of solu...

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Bibliographic Details
Main Authors: Abbes Benaissa, Salim Messaoudi, Aissa Benguessoum
Format: Article
Language:English
Published: University of Szeged 2014-03-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2653